Consciousness,
neurobiology and quantum mechanics:
The case for a connection
Stuart Hameroff
Departments of Anesthesiology and Psychology
Center for Consciousness Studies
The University of Arizona, Tucson, Arizona
I. Introduction: The problems of consciousness
Consciousness involves
phenomenal experience, self-awareness, feelings, choices, control of actions, a
model of the world, etc. But what is it?
Is consciousness something specific, or merely a byproduct of information
processing? Whatever it is, consciousness is a multi-faceted puzzle. Despite
enormous strides in behavioral and brain science, essential features of
consciousness continue to elude explanation. Unresolved problems include:
1) Neural correlates of conscious perception apparently occur too late—150 to 500 milliseconds (msec) after impingement on our sense organs—to have causal efficacy in seemingly conscious perceptions and willful actions, often initiated or completed within 100 msec after sensory impingement. For example in the color phi and cutaneous rabbit anomalies, the brain apparently fills in conscious sensory information that is not yet available (Kolers & Grunau 1976, Geldard & Sherrick 1972, c.f. Dennett & Kinsbourne 1992). Preparation of speech can precede conscious identification of heard words to which one is responding (Velmans 1991, Van Petten et al 1999). And in tennis, specific movements to return a fast-moving ball precede conscious identification of ball location and trajectory (McCrone 1999, Gray 2004).[i] Nonetheless, subjectively (i.e. we feel as though) we consciously perceive and respond to these perceptions (e.g. Velmans 1991, Gray 2004, Koch 2004).
2) How does the brain provide binding: fusion of a) aspects in one modality (e.g. visual shape, color and motion), b) different modalities (e.g. sight and sound), c) temporal binding of synchronous events sensed asynchronously (e.g. sight and touch) and d) allocentric (simulated external world), egocentric (personal point of view) and enteroceptive (bodily sensation) spaces into unified conscious moments (Gray 2004)?
3) Electrophysiological correlates of consciousness and attention (e.g. gamma EEG/coherent 40 Hz) may be incompatible with the presumed neural-level correlate of consciousness—trains of axonal action potentials (spikes)—and network-level correlate of consciousness—Hebbian assemblies of axonal-dendritic neurotransmitter-mediated synaptic networks.
4) The vast majority of brain activity is nonconscious. What distinguishes nonconscious activity from consciousness?
5) The hard problem: how does the brain produce qualia, the raw components of phenomenal experience—the smell of a rose, the felt qualities of emotions and the experience of a stream of conscious thought? Why is there conscious experience associated with the brain at all (e.g. Chalmers 1996)?
Prevalent approaches assume that consciousness arises from information processing in the brain, with the level of relevant detail varying among philosophical stances. Generally, all-or-none firings of axonal action potentials (spikes) are seen as the fundamental states, or currency of brain function and equated to roles performed by unitary information states and switches in computers. Consciousness is said to emerge from complex computation: nonlinear dynamics of axonal-dendritic neuronal networks sculpted by modulation of spike-mediated chemical synapses (Hebbian assemblies) form meta-stable patterns—attractors—identified with conscious experience (e.g. Scott 1995, Freeman 2001).
I will refer to all contemporary approaches (perhaps unfairly) as classical functionalism. The implication is that if a robot were precisely constructed to mimic the brain activities which orthodox neuroscience assumes to be relevant to consciousness and perform functions which in a human being are associated with consciousness, then the robot would be conscious regardless of the material from which it was made.
Classical functionalist explanations of the problems stated above are (roughly):
1) Near-immediate conscious perception and volition are illusions; nonconscious processes initiate many actions (e.g. Velmans 1991, Koch & Crick 2001, Wegner 2002)
2) Binding—e.g. temporal binding in Dennett’s (1989) multiple drafts model—results from edited memory, rather than real-time unified conscious perception.
3) Electrophysiological activities measured from scalp, brain surface or within brain extracellular spaces (e.g. gamma EEG/coherent 40 Hz, Section IIId) which seem to correlate with cognition and consciousness are discredited, apparently because axonal spikes fail to show synchronized firing to account for coherence (Shadlen & Movshon 1999, Crick & Koch 2001).
4) Nonconscious processes compete, with the content of the most active (or optimally synchronized) neuronal groups winning to gain consciousness (e.g. Dennett 1991).
5) Conscious experience is an emergent property of functional information processing (e.g. Scott 1995, Freeman 2001).
Consequently, classical functionalism deconstructs consciousness into an out-of-the-loop, illusory set of epiphenomena.[ii] While this might prove true, the view has developed as a default position due to lack of credible alternative and (I will argue) faulty assumptions. Presumed input-output capabilities of individual neurons and neuronal assemblies are tailored to fit the computer analogy, omit essential neurobiological ingredients and miss the target.[iii] Specifically, I will argue that axonal spikes and chemical synaptic transmissions are not the primary currency of consciousness, that electrophysiological correlates of consciousness derive from dendritic activities linked by window-like gap junctions, that glia are involved and that quantum processes in intra-dendritic cytoskeletal microtubules are the actual substrate for consciousness.
Ten years ago Roger Penrose and I put forth a model called orchestrated objective reduction (Orch OR) based on quantum computation in cytoskeletal microtubules inside the brain’s neurons[iv] (Penrose & Hameroff 1995, Hameroff & Penrose 1996a, 1996b, c.f. Hameroff 1998a, 1998b, Woolf & Hameroff 2001). Orch OR has been viewed skeptically by mainstream scientists and philosophers. One apparently valid reason to discount Orch OR is that technological quantum computation is designed to occur in isolation at extremely low temperatures to avoid decoherence—disruption of seemingly fragile quantum states by thermal/environmental interactions. Thus quantum computing at brain temperature in an apparently liquid medium appears impossible. However quantum processes in biological molecules not only occur, but are enhanced at higher temperature (Ouyang & Awschalom 2003). Furthermore the neuronal interior can exist in an isolated, non-liquid gelatinous ordered state (Pollack 2001, Section Vb). Another objection—that quantum states inside one neuron could not extend to others across cellular boundaries—prompted the suggestion that quantum tunneling through window-like gap junctions (which essentially fuse neurons into hyper-neurons, Section IIIe) could enable such extension. Gap junction networks are now shown to be widely prevalent in the brain and to mediate gamma EEG/coherent 40 Hz neuronal activity, the best electrophysiological correlate of consciousness (Section IIId). Finally, Orch OR has been discounted because it differs so markedly from conventional approaches, despite being perfectly consistent with neurobiology.
In this paper connections among consciousness, neurobiology and quantum mechanics are proposed. They are previewed here:
Consciousness and neurobiology
(Section III): The neural
correlate of consciousness is in dendrites of cortical neurons interconnected by
gap junctions, forming Hebbian ‘hyper-neurons’. Chemical synapses and axonal
spikes convey inputs to, and outputs from, conscious processes in hyper-neuron
dendrites, consistent with gamma EEG/coherent 40 Hz and the post-synaptic
mechanism of general anesthesia. The molecular correlate of consciousness is the
intra-dendritic cytoskeleton, specifically microtubules and related proteins
whose information processing triggers axonal spikes and regulates synapses.
Neurobiology and quantum
mechanics (Section IVc&d):
At its core, all chemistry (and biochemistry) is quantum mechanical, though
quantum effects are generally considered to wash out at supra-molecular levels
due to environmental interactions (decoherence).
However in some circumstances biology may utilize quantum effects at mesoscopic
and macroscopic scales (e.g. Davies 2004). Specifically, certain proteins act as
quantum levers whose functional conformational states are governed by weak
quantum forces. Such proteins mediate effects of anesthetic gases which impair
the quantum forces, erasing consciousness while sparing other brain activities.
Thus only proteins directly involved in consciousness are quantum levers (which
can function as quantum bits, or qubits in quantum computation). Evidence
suggests that mechanisms have evolved to counter decoherence and enable large
scale quantum states in the brain at 37.6 degrees centigrade.
Quantum mechanics and
consciousness (Section Va):
The conscious observer has been implicated in quantum mechanics since its
inception. Experiments show that quantum superpositions (particles/systems
existing in multiple states or locations simultaneously, governed by a quantum
wavefunction) persist until measured or observed, then reduce/collapse to
definite states and locations. Interpretations vary: in one form of the
Copenhagen interpretation the conscious observer causes collapse/reduction of quantum superpositions, placing
consciousness outside physics. David Bohm (e.g. Bohm and Hiley 1993) proposed
that the wavefunction contains active information which guides the movement of
particles, and that consciousness was associated with active information. Like
Bohm, the multiple worlds hypothesis (Everett 1957) avoids collapse/reduction
but requires an infinity of minds for each individual.[v]
Decoherence theory avoids isolated superpositions (and consciousness). Henry
Stapp’s view (Stapp 1993) identifies consciousness with collapse/reduction but
doesn’t specify a cause of collapse/reduction, or distinction between conscious
and nonconscious collapse/reduction. The objective reduction (OR) of Roger
Penrose identifies consciousness with collapse/reduction, specifies a cause and
threshold, and
connects consciousness to fundamental spacetime geometry, introducing mechanisms
for non-computable Platonic influences and proto-conscious qualia. And like
Stapp’s view, Penrose OR connects to Whitehead’s philosophical approach to
consciousness.
We begin with a consideration of the timing of conscious experience.
II. Time and consciousness
a. Is consciousness continuous or a sequence of discrete events?
William James (1890) initially considered consciousness as a sequence of specious moments but then embraced a continuous stream of consciousness. Alfred North Whitehead (1929, 1933) portrayed consciousness as a sequence of discrete events: occasions of experience. As motion pictures—in which sequential frames are perceived as continuous—became increasingly popular, so did the notion of consciousness as discrete events, e.g. the perceptual moment theory of Stroud (1956). Evidence in recent years suggests periodicities for perception and reaction times in the range of 20 to 50 msec (gamma EEG) and another in the range of hundreds of msec (alpha and theta EEG), the latter consistent with saccades and the visual gestalt (VanRullen & Koch 2003, VanRullen & Thorpe 2001). Based on a proposal for memory by Lisman and Idiart (1995), VanRullen and Koch (2003) suggested a multiplex for visual perception in which a series of fast gamma waves (each corresponding to specific components of vision) rides on a slower, e.g. theta wave (corresponding to an integrated visual perception). A similar, previous model of gamma/theta complex waves supporting quantum mechanisms underlying conscious vision (Woolf & Hameroff 2001) will be discussed in Section VIIIa. Freeman (2004a) has shown cinematographic effects in neural excitations in the brain, supporting the notion of discrete conscious frames.
If consciousness is a sequence of events, what is its rate or frequency? Can it vary? In the midst of a car accident, victims often report that time seems to slow down. Does this excited state involve an actual increase in the rate of subjective conscious moments per objective time? What are conscious moments, why are they subjective and how do they relate to neurobiology?
b. The timing of conscious experience
Many behaviors apparently happen too quickly to be initiated by consciousness. Max Velmans (1991) lists examples: analysis of sensory inputs and their emotional content, phonological and semantic analysis of heard speech and preparation of one’s own spoken words and sentences, learning and formation of memories, and choice, planning and execution of voluntary acts. Consequently, subjective feeling of conscious control of these behaviors is deemed illusory (Wegner 2002).
In speech, evoked potentials indicating conscious word recognition occur at about 400 msec after auditory input, however semantic meaning is appreciated (and response initiated) after only 200 msec. As Velmans points out, only two phonemes are heard by 200 msec, and an average of 87 words share their first two phonemes. Even when contextual effects are considered, semantic processing and initiation of response occurs before conscious recognition (Van Petten et al 1999).
Jeffrey Gray (2004) observes that in tennis “The speed of the ball after a serve is so great, and the distance over which it has to travel so short, that the player who receives the serve must strike it back before he has had time consciously to see the ball leave the server’s racket. Conscious awareness comes too late to affect his stroke”. John McCrone (1999): “[for] tennis players…facing a fast serve…even if awareness were actually instant, it would still not be fast enough....”.
Visual recognition of an
object’s shape, color, motion and semantic meaning occur in different parts of
visual cortex, and at different times (Zeki and Bartels 1998, Zeki 2003). Yet we
consciously perceive these features simultaneously (the temporal binding
problem).
Touch also involves temporal
binding. If you tap your foot with your finger, the foot and finger sensations
occur simultaneously. Yet the sensory signal from your foot requires significantly longer to reach
sensory cortex than does that from your finger. How does the brain provide
synchrony?
In the cutaneous rabbit experiment (Geldard and Sherrick 1972, 1986) a
subject’s arm is mechanically “tapped” at three locations along the arm,
e.g. 5 taps at the wrist followed by 2 at the elbow then 3 more on the upper
arm. However subjects report a regular sequence of taps traveling in equidistant
increments, as if a small animal were hopping along their arm. The
“departure” from the wrist begins with the second tap, yet if the upper taps
are not delivered, all 5 wrist taps are felt at the wrist. It is as if the brain
knows in advance there will be (or not
be) taps further along the arm.

Figure
1. The “color phi” phenomenon (Kolers & von Grunau 1976). Top left: an
observer views a screen on which a red circle appears on the left, disappears,
and then a green circle appears on the right. Bottom left: the observer’s
conscious (reported) experience is of a red circle moving from left to right,
changing to green halfway across. Upper right: the retrospective construction
explanation is that the observer’s real time perception is of two separate
circles, subsequently revised and recorded in (delayed) memory as the red circle
moving and changing to green halfway across. Bottom right: Quantum explanation
in which the brain sends subconscious quantum information backward in time,
filling in the red circle changing to green halfway across.
In the “color phi” effect
(Kolers and von Grunau
1976) a red spot appears briefly on the left side of a screen, followed after a
pause by a green spot on the right side. Observers report one spot moving back
and forth, changing color halfway across (Figure 1). Does the brain know
in advance to which color the dot will
change?
Perhaps the most perplexing
experiments regarding time and mental events were done by Benjamin Libet and
colleagues in the 1960s and 1970s. They studied awake, cooperative patients
undergoing brain surgery with local anesthesia so that the patients’ brains
were exposed (e.g. Libet et al 1964, 1979, Libet 2004). In these patients Libet
was able to access, identify, record from and stimulate specific areas of
somatosensory cortex (postcentral gyrus) corresponding to the skin of each
patient’s hand (Figure 2). He found that direct electrical stimulation of the
somatosensory ‘hand’ area of cortex resulted in brain electrical activity (DCR:
direct cortical response due to neuronal dendritic activity). This in turn
caused conscious sensation referred to the hand, but only after a train of
threshold-level pulses (and DCR activity) lasting about 500 msec. This
requirement of ongoing, prolonged electrical activity from direct cortical
stimulation to produce conscious experience (‘Libet’s 500 msec’) was
confirmed by Amassian et al (1991), Ray et al (1999), Pollen (2004) and others.
But what about normal sensory
perception? Single, threshold-level stimuli to the hand or elsewhere are
seemingly perceived consciously almost immediately; no 500 msec delay occurs
when we touch something. In the brain somatosensory cortex, threshold level
stimuli at the skin of the hand cause a primary evoked potential (EP) 10 to 30
msec after skin stimulation, followed by ongoing activity of several hundreds of
msec, very much like Libet’s DCR.
But the primary EP is not
sufficient for conscious experience:
·
A single stimulus delivered to subcortical
brain regions in the sensory pathway causes a primary EP without conscious
experience or prolonged activity (Libet et al 1967, Jasper and Bertrand 1966).[vi]
·
Sub-threshold skin stimulation causes a primary
EP, but no prolonged cortical activity nor conscious experience.
·
Under general anesthesia, skin stimulation of any
kind can cause a primary EP but no ongoing cortical activity nor conscious
experience.
On the contrary, prolonged
cortical activity (‘Libet’s 500 msec’) is both necessary and sufficient
for conscious experience, but in the absence of a primary EP produces only delayed
conscious experience.
·
Libet’s DCR patients (also Amassian et al 1991,
Ray et al 1999) had ~500 msec delayed conscious experience of skin stimulation
without a primary EP caused by a train of pulses delivered to cortex. Pollen
(2004) showed a similar delay with visual phosphenes after occipital cortex
stimulation.
Libet’s conclusion was that
the 500 msec prolonged cortical activity is the sine
qua non for conscious experience—the NCC, or neural correlate of
consciousness. The primary EP is necessary (but not sufficient) for
near-immediate conscious experience.[vii],[viii]
Primary EP and prolonged activity together produce near-immediate conscious
experience.

Figure
2. Libet’s
experiments and explanation (Libet et al 1979, Libet 2004). Patient (left) was
accessed 1) at hand area of somatosensory cortex, and 2) skin of corresponding
hand. Top: Direct cortical stimulation of electrical pulses every 50 msec caused
cortical brain activity which was required to proceed for 500 msec to cause
conscious experience of a sensation in the hand. Middle: Single pulse to the
skin of the hand caused primary evoked potential (EP) after 10 to 30 msec and
ongoing brain activity for at least 500 msec. Conscious experience occurred
concomitant with primary EP. Bottom: Libet’s explanation—500 msec ongoing
activity required for neuronal adequacy which is referred backward in time to
the primary EP.
But if
the neural correlate of conscious experience is delayed for 500 msec, how/why do
we seem to perceive sensory events almost immediately? Are we living in the
past, but remembering (falsely) being
in the here and now, as Dennett suggests (next Section)? To address the
question, Libet and colleagues proposed and tested a rather outrageous
hypothesis—that the perception of a stimulus was indeed delayed for 500 msec
of brain activity but subjectively referred backward in time to the primary
evoked potential 10 to 30 msec after stimulus.
Experiments were performed in
which patients received both direct cortical stimulation of the hand area and
stimulation of the actual skin of the hand. Although both were perceived in the
hand, the two were qualitatively different so the subjects could distinguish
them. Stimulation of the two sites were given in close, but varying temporal
proximity (i.e. within one second), and the patients asked which stimulus was
felt first.
The patients reported that
the sensations generated at the skin appeared before the cortically induced
sensation, even when the skin pulse was delayed by some hundreds of msec after
the start of the cortical stimulation. Only when the skin pulse was delayed for
about 500 msec after the cortical stimulation did the subjects report feeling
the two stimuli simultaneously. The skin-induced experience appeared to have no
delay. The cortically-induced experience was delayed 500 msec relative to the
skin-induced sensation.
So both skin-induced and
cortically-induced sensations required 500 msec of cortical processing, but the
skin-induced sensation was experienced almost immediately. Unlike the cortically
induced experience the skin-induced sensation was marked by a primary EP. Was
that the difference?
To investigate this question,
Libet also studied patients with electrodes implanted (for therapeutic purposes)
in the medial lemniscus below the thalamus, i.e. in the brain’s sensory
pathway enroute from hand to cortex. He determined that stimulation of the
medial lemniscus could produce a conscious experience only after 500 msec of
stimulation and cortical activity. But unlike direct cortical stimulation (and
like skin stimulation) medial lemniscus stimulation produced primary EPs. Libet
and his colleagues then performed another set of experiments comparing
stimulation of the hand with stimulation of medial lemniscus, coupling the two
stimuli at varying time intervals. They found no delay of the medial lemniscus
stimuli compared to skin stimuli. But the patients felt nothing if medial
lemniscus stimulation was interrupted prior to the full 500 msec stimulation. So
prolonged cortical activity was necessary for conscious experience and the
primary EP was necessary for near-immediate subjective experience.
Libet came to the following
conclusions:
·
Conscious perception requires brain activity for
~500 msec to achieve neuronal adequacy.
·
Information is referred up to 500 msec backward in time to the primary evoked potential—10 to 30 msec
after peripheral stimulation—for near-immediate conscious perception.
Libet’s results and
conclusions have been repeatedly challenged but never refuted (Libet 2002,
2003).
c. Taking backward time
referral seriously
How do we resolve these
temporal anomalies? The color phi effects apparently “…leave us a choice
between a retrospective construction theory and a belief in clairvoyance”
(Goodman 1978).
Daniel Dennett (1991, c.f.
Dennett & Kinsbourne 1992) chose retrospective construction in the context
of a multiple drafts model in which
sensory inputs and cognitive processing produce tentative contents under
continual revision. A definitive, final edition is inserted into memory,
overriding previous drafts. A key feature is that consciousness (e.g. of a
particular perception) occurs not at any one specific moment, but arbitrarily in
time, like the onset of fame, or end of a war. The brain retrospectively creates
content or judgment, e.g. of intervening movement in the color phi experiment.[ix]
According to retrospective
construction (I presume): 1) tennis players see and hit balls unconsciously, but
remember seeing and hitting consciously.[x]
2) Sensory components of objects or events are perceived asynchronously but
remembered as being synchronous. 3) In the cutaneous rabbit experiment, the
subjects feel wrist taps, then elbow taps, then upper arm taps, but remember a
sequence of evenly spaced taps. 4) In the color phi phenomenon the observer sees
the left side red spot, then the right side green spot, but remembers the red
spot moving and changing colors mid-stream.
Thus according to Dennett and
many others, smooth, real-time conscious experience is an edited
construction—an illusion. Dennett and Kinsbourne (1992) have a more difficult
time dispensing with Libet’s findings, describing them as “interesting but
inconclusive.”
Libet performed other
experiments related to volition. Kornhuber and Deecke (1965) had recorded over
pre-motor cortex in subjects who were asked to move their finger randomly, at no
prescribed time. They found that electrical activity preceded finger movement by
800 msec, calling this activity the readiness potential. Libet and
colleagues (1983) repeated the experiment except they also asked subjects to
note precisely when they consciously decided to move their finger. This decision
came approximately 200 msec before movement, hundreds of msec after onset of the
readiness potential. Libet concluded that many seemingly conscious actions are
initiated by nonconscious processes.
Libet didn’t consider backwards referral in volition because antedating in his sensory experiments was pinned to the primary sensory EP, and no such marker existed in the spontaneous finger movement experiments. However voluntary acts in response to stimuli (hitting a ball, choosing a word in a sentence) do have such markers, as would binding of temporally asynchronous perceptual components of synchronous events. Nor did Libet consider backward referral as implying an actual reversal in time, but a phenomenon akin to retrospective construction. Libet (2000, p. 7) says:
“…the timing of a sensation is subjectively referred….not that the conscious sensation itself jumped backwards in time…the content of the subjective experience…is modified by the referral to the earlier timing signal.”
But consciousness lagging a half second behind reality would render it largely epiphenomenal (and illusory).[xi] We would be (in the words of T.H. Huxley) “helpless spectators”. Perception would be a jangle of disconnected events edited for memory, too late for conscious control of many seemingly conscious actions. Perhaps so, but is there a possible alternative?
Yes. To account for Libet’s results, Roger Penrose (1989, c.f. Wolf 1989) suggested that the brain sends unconscious quantum information backward through time. In the quantum world, time is symmetrical, or bi-directional (as it also appears to be in unconscious dreams—Section VI).[xii] Aharonov and Vaidman (1990) proposed that quantum state reductions send quantum information backward in time; such backward time referral is the only apparent explanation for experimentally observed EPR effects in quantum entanglement (Figure 3, Section Va, Penrose 2004, c.f. Bennett and Wiesner 1992). One could say the quantum world is timeless, or has no flow of time.

Figure 3. Backward time in the EPR
effect. A. The Einstein-Podolsky-Rosen (EPR) experiment verified by Aspect et al
(1982), Tittel et al (1998) and many others. On the left is an isolated
entangled pair of superpositioned complementary quantum particles, e.g. two
electrons in spin up and spin down states. The pair is separated and sent
(through environment but unmeasured) to different locations/measuring devices
kilometers apart. The single electron at the top (in superposition of both spin
up and spin down states) is measured, and reduces to a single classical state
(e.g. spin down). Instantaneously its complementary twin kilometers away reduces
to the complementary state of spin up (or vice versa). The effect is
instantaneous over significant distance, hence appears to be transmitted faster
than the speed of light. B. The explanation according to Penrose (2004, c.f.
Bennett and Wiesner 1992) is that measurement/reduction of the electron at the
top sends quantum information backward in time to the origin of the unified
entanglement, then forward to the twin electron. No other reasonable explanation
has been put forth.
Quantum information cannot actually convey information, and is thus a misnomer (Penrose now calls it ‘quanglement’ because of its role in quantum entanglement). Quanglement can only modify classical information, but mere modification is highly significant in EPR experiments and quantum technology (Section V). Quantum information/quanglement going backward in classical time is also constrained by possible causality violations, i.e. causing an observable change resulting in a paradox like going back in time to kill your ancestor, thereby preventing your birth. Any effect which could be even possibly measured or observed may be prohibited. Nonconscious backward referral of quantum information/quanglement which modifies existing information in the brain (e.g. adding qualia to primary evoked potentials, influencing choices) would not violate causality because the effects are unobservable before they occur.[xiii]
Backward time referral of unconscious quantum information/quanglement in the brain could provide temporal binding and near-immediate perception and volition, rescuing consciousness from illusory epiphenomenon (i.e. enabling near-immediate conscious decisions based on sensory information referred from the near future). How this could actually happen will be discussed in Section VII, but we next turn to where it could happen—the neural correlate of consciousness.
III. The neural correlate of consciousness
a. Functional organization of the brain
Most brain activities are nonconscious; consciousness is a mere “tip of the iceberg” of neural functions. Many brain activities—e.g. brainstem-mediated autonomic functions—never enter consciousness. While consciousness is erased during general anesthesia, nonconscious brain EEG and evoked potentials continue, although reduced.[xiv]
Functional units corresponding to particular mental states are generally considered as networks or assemblies of neurons, originally described by Donald Hebb (1949, see also Scott 2004). Hebb described assemblies as closed causal loops of neurons which could be ignited by particular inputs and remain active for hundreds of msec, following which another related assembly would ignite, then another and so on in a phase sequence. Hebb described assemblies as “three dimensional fishnets” of many thousands of neurons. At any one time a single particular assembly would be the neural correlate of consciousness (NCC).
Why would a particular assembly be conscious? Dennett’s multiple drafts model proposes, as does Susan Greenfield’s (2000) epicenter model, that brain activity accompanying consciousness is the same in kind as unconscious brain activity, except more so. Regardless of location, if activity of a neural assembly representing a specific set of content exceeds all other in some type of competition, it takes the prize of entering into consciousness.
What the precise neural activity accompanying consicousness actually is remains to be seen, but where does it occur? Global workspace theory describes multiple specialized brain areas interconnected in a coordinated, though variable manner. Bernie Baars (1988) introduced the concept which was elaborated anatomically by Changeux and Dehaene (1989, see also Dehaene & Naccache 2001). Crick and Koch (1990), and Edelman and Tononi (2000) have similar approaches.
The basic idea is that consciousness occurs primarily in a horizontal layer of interconnected cortical neurons sandwiched between ascending, bottom-up inputs from thalamus and basal forebrain, and top-down executive functions from pre-frontal cortex.[xv] Bottom-up inputs convey sensory information, as well as general arousal and highlighted saliency such as emotional context from basal forebrain inputs (Woolf 1997, 1999). Top-down influences categorize and manipulate unexpected features (Koch 2004), e.g. those associated with danger, reward etc. Acting together, bottom-up and top-down activations select a neural assembly—a specific subset of cortical-cortical projections—for attention and consciousness, prompting sufficient activity for the assembly to become the NCC. Over time, the NCC and its contents change with dynamically shifting, temporary alliances of neurons and assembly makeup. Global workspace models demonstrate a functional architecture which could accommodate consciousness.
Placing consciousness between bottom-up and top-down neuronal pathways agrees with Ray Jackendoff’s (1987) intermediate level theory which notes we are not normally aware of pure sensation, nor of pure conceptual structures, but an optimized admixture of the two. The intermediate level is also consistent with Jeffrey Gray’s (1995, 1998) comparator hypothesis in which consciousness is the output of a process which compares available (e.g. incoming, bottom up) information against anticipatory (executive, top down) schemata.
Evidence from vision supports both Jackendoff’s contention and global workspace theory. Visual inputs synapse in thalamus and project raw data mostly to primary visual area V1 in the posterior occipital cortex. V1 then sends information forward to other regions of visual cortex[xvi] e.g. V2 where shape and contour are recognized, V4 where color is perceived and V5 where motion is detected. These and other secondary visual areas project to pre-frontal cortex for categorization and planning. Pre-frontal cortex then projects back towards V1 and other visual areas. Crick and Koch (2001) have argued the NCC of vision lies not in V1 or pre-frontal cortex but in intermediate areas. In Jackendoff’s terms, V1 houses “pure sensation unaffected by conceptual interpretation”. Visual consciousness occurs in the middle—shifting assemblies of cortical-cortical projections sandwiched between (but possibly including) V1 and pre-frontal cortex.
However Zeki (1999) has shown that excessive activity in any feature-selective region may be sufficient on its own for that feature to enter consciousness. Thus activity in V4 alone can result in the experience of color.
Other NCC candidates candidates include the hippocampus in Jeffrey Gray’s comparator hypothesis, and the brainstem in Antonio Damasio’s (1999) and Jaak Panksepp’s (1999) separate views of emotional core consciousness. Thus while consciousness occurs generally in what is termed a global workspace, it may also arise in more localized and perhaps separate regions. The question remains how/why consciousness arises in any region. What aspect of neural activity gives rise to consciousness?
b. Cerebral cortex and neuronal assemblies
Cerebral cortex is hierarchical in two different ways (Koch 2004).
Microscopically, layer 4 receives
primary sensory inputs from thalamus and is thus on the bottom. Geography aside,
layers 1-3 and 6 are more or less in the middle. Layer 5 giant pyramidal cells
(which convey the verdicts of cortical processing to subcortical regions) are at
the top of the hierarchy. This arrangement is nested in a larger scale
anatomical hierarchy with primary sensory areas (such as V1 for vision) at the
bottom, and pre-frontal executive cortex at the top. Consistent with
Jackendoff’s intermediate theory, shifting assemblies of many types of neurons
sandwiched throughout numerous cortical regions appear to act as the NCC.
Particular Hebbian assemblies may be formed and strengthened primarily
by alterations in dendritic morphology leading to enhanced synaptic activity and
lowered threshold for specific circuits. Assemblies sculpted by post-synaptic
changes—synaptic plasticity—are the cornerstone of theoretical
mechanisms for learning, memory and the NCC. The mechanisms of plasticity
include altered number, sensitivity and clustering of post-synaptic receptors,
optimal geometry of dendritic spines and branchings, dendro-dendritic
connections, and changes in decremental conductance of post-synaptic potentials
(e.g. Hausser et al 2000). All these changes are mediated by structures within
neuronal dendritic interiors, namely the cytoskeleton (e.g. Dayhoff et al 1994).
c. Axons and dendrites
Since Cajal, the neuron
doctrine has been that information flows from an incoming axon across a
chemical synapse to a dendrite or cell body of another neuron. When a
post-synaptic threshold is met from accumulation of excitations (offset by
inhibitions), the second neuron’s axon fires—an action potential or spike is
triggered at the proximal axon hillock. Mediated by fluxes of sodium ions across
membrane channels, spikes propagate along the axon to reach another synapse
where they influence the release of neurotransmitters. Each neuron has only one
axon, though they may branch downstream. Thus multiple post-synaptic inputs are
integrated to lead to one output, the all-or-none firing of a spike.[xvii]
Spikes can be measured and
quantified by electrodes which traverse or pass near axonal membranes. Thus we
know that spike frequency (and possibly patterns) correlates with intensity of
stimulus and/or behavior (e.g. Britten et al 1992). Spikes travel rapidly and
are robust, not degrading even when conveyed over long distances. They are
widely assumed to be the primary means of signaling and information transfer in
the brain, and thus the currency or substrate—the neural code—of
consciousness. The notion of multiple inputs integrated to a threshold leading
to a single output lends itself well to computer models and analogies. Spike =
bit!
However there are other cellular-level candidates for the NCC.
Electrodes on the scalp or brain surface detect mostly dendritic dipole
potentials from pyramidal cells with axial symmetry, i.e. oriented perpendicular
to the brain surface (Freeman 2001). Electrodes implanted into the brain detect
mainly local field potentials (LFPs) generated from cortical interneurons with
radial symmetry, linked mostly by dendro-dendritic gap junctions and inhibitory
chemical synapses. Thus synchrony in the EEG and LFPs derive not from axonal
spikes but from dendritic activities. Moreover the BOLD signal used in fMRI,
widely assumed to represent neural metabolic activity related to consciousness,
correspond more closely with LFPs than axonal spikes (Logothetis 2002).
Some have argued (e.g. Libet 2004, McFadden 2000, Pockett 2000) that the
brain’s complex electromagnetic field (manifest as global LFPs and surface
potentials) constitutes the NCC. However as Koch (2004) points out, the
brain’s electromagnetic field per se is a crude and inefficient means
of communication.
On the other hand, the dendritic activities that generate LFPs and/or
surface potentials may indeed best represent the NCC. Eccles (1992) as well as
Pribram (1991) suggested that dendrites host consciousness, with axonal spikes
conveying the outputs of consciousness to other neurons, brain regions and
initiating motor responses.
Neurotransmitter binding at synaptic receptors changes voltage
potentials across dendritic or cell body membrane, causing either excitatory or
inhibitory post-synaptic potentials (IPSPs, EPSPs) and in some cases dendritic
action potentials
(Buzsáki and Kandel 1998, Schwindt and Crill 1998).
These are then presumed to summate as membrane potentials to reach threshold for
spike initiation at the proximal axon hillock.
Is integration to trigger spikes the full extent of dendritic function? Some cortical neurons have no axons, dendrites interact with other dendrites (e.g. Isaacson and Strowbridge 1998, Sassoè-Pognetto and Ottersen 2000) and extensive dendritic activity may occur without causing spikes. Dendritic membrane fluctuations below spike threshold (generally considered noise by neuroscientists) may oscillate coherently across wide regions of brain (Arieli et al 1996, Ferster 1996).
Highly branched dendritic structure is capable of information processing
beyond summation of membrane potentials. Evidence shows complex logic functions
in local dendritic compartments, signal boosting (e.g. at branch points),
filtering and changing axon hillock sensitivity (Sourdet and Dehanne 1999,
Poirazi
and Mel 2001, Shepherd 1996, 2001).

Figure 4. Characterizing neurons. Left: Illustration of an actual pyramidal neuron with multiple apical and basilar dendrites (top and middle) and a single axon heading downward. Two incoming axons are shown synapsing on apical dendrites. Middle: A cartoon neuron as depicted in neural network and functionalist models. Two incoming axons are shown synapsing on the cell body/dendrite. Right: A cartoon neuron as utilized in this paper, showing three dendrites, cell body and a single axon heading downward. The internal cytoskeleton—microtubules interconnected by microtubule-associated proteins— is shown schematically; in dendrites and cell body the microtubules are short, interrupted (and of mixed polarity, not visibly apparent). In the axon the microtubules are continuous (and of uniform polarity, not visibly apparent). Two incoming axons synapse on dendritic spines.
Nor is dendritic processing necessarily limited to membrane potentials.
Many post-synaptic receptors are metabotropic, sending signals internally into
the dendritic cytoskeleton, activating enzymes,[xviii]
causing conformational signaling and ionic fluxes along actin filaments and
dephosphorylating microtubule-associated protein 2 (MAP2) which links
microtubules into cytoskeletal networks. MAP2 activity is necessary for learning
and memory, and is the largest consumer of dendritic metabolic energy (Theurkauf
and Vallee 1983, Aoki and Siekevitz 1988, Johnson and Jope 1992). Changes in the
cytoskeleton regulate synaptic plasticity (Halpain and Greengard 1990, Van der
Zee et al 1994, Woolf 1998, O'Connell et al 1997 Whatley
and Harris 1996, Woolf 1998, Woolf et al 1999, Fischer et al 2000, Sanchez et al
2000, Matus 2000, Khuchua et al 2003).
Dendritic processing is assumed to be constrained by global all-or-none
output through the axon, and to exist merely to trigger axonal spikes. But
neither assumption is substantiated.
The full extent of dendritic internal processing is unknown but its capabilities
are enormous. For example synaptic activity causes glycolytic production of ATP
in dendritic spines, energy which may be used for ion channels as well as
protein synthesis and signal transduction into the dendritic cytoskeleton (Wu et
al 1997, Siekevitz 2004). Kasischke and Webb (2004) suggested that brain
function might be “…. more refined on a higher temporal and smaller spatial
scale.”
Figure 4 shows 1) an actual pyramidal neuron with multiple dendrites;
two incoming axons synapse on two different dendrites (a pyramidal neuron is
likely to have many thousands of such incoming synapses), 2) a cartoon neuron
with two axonal inputs synapsing on a cell body (as presumed in functionalist
models), and 3) a more elaborate cartoon neuron with three dendrites (and two
incoming synapses) showing the internal cytoskeleton. Figure 5 shows this type
of cartoon neuron with a chemical synapse and dendritic-dendritic gap junction.

Figure 5. Cartoon neuron with two types
of connections. Internal structure represents nucleus (dark circle) and
cytoskeletal microtubules (MTs) connected by strut-like microtubule-associated
proteins (MAPs). MTs in axons are continuous (and unipolar) whereas dendritic
MTs are interrupted (and of mixed polarity.
Lower left: An incoming axon forms a chemical synapse on a dendritic
spine. Close up shows neurotransmitter vesicles in pre-synaptic axon terminal,
and post-synaptic receptors on spine connected to intra-spine actin filaments
which link to MTs. Upper left: Dendritic-dendritic gap junction is a window
between the two neurons. Both the membranes and cytoplasmic interiors of the two
cells are continuous.
d. Neural synchrony
The most active neuronal assembly is assumed to undergo a transition from nonconscious representation to consciousness. Why the most active processes should be conscious is the hard problem. But regardless, what exactly is the relevant neural activity? Axonal spike frequency is assumed to be the critical function but depends entirely on dendritic activities. Evidence supports a correlation between consciousness and synchronous activity.
Electrical
recording from scalp, brain surface or implanted electrodes reveal synchronous
activity at various frequencies of the electroencephalogram (EEG) due to LFPs or
surface potentials. Among these, the so-called gamma frequency range between 30
and 70 Hz correlates best with attention and consciousness. Gray and Singer
(1989, c.f. Gray et al 1989) found coherent gamma oscillations in LFPs of cat
visual cortex which strongly depended on specific visual stimulation. Though the
synchrony could occur in a range between 30 and 70 Hz, the coupling phenomenon
became known euphemistically as coherent
40 Hz.
Following
a suggestion by von der Malsburg (1981) that synchronous neural excitations
could solve the binding problem, von der Malsburg and Singer (1988), Crick and
Koch (1990),[xix] Varela (1995) and others
proposed that the neural correlate of any particular conscious content was an
assembly of neurons excited coherently at 40 Hz or thereabouts. Varela (1995) succinctly observed that neural synchrony operated whenever component processes subserved by spatially separate brain regions were integrated into
consciousness.
Neural
synchrony in the gamma frequency range has been observed in many animal studies
using multi-unit scalp, surface and implanted electrodes. They demonstrate
synchrony within and across cortical areas, hemispheres and sensory/motor
modalities which reflects perceptual gestalt criteria and performance (for
review: Singer & Gray 1995, Singer 1999).
Among a smaller number of human studies using scalp EEG and MEG, most
have supported a role for synchrony in integration and binding (Joliot et al
1994, Singer 1999, Varela et al 2001, Trujillo et al 2004). Gamma synchrony has
been shown to correlate with the perception of sound and linguistic stimuli (Miltner
et al 1999, Pantev 1995, Ribary et al 1991), REM dream states (Llinas &
Ribary 1993), attention (Fries et al 2002, Tiitinen et al 1993), working memory
(Tallon-Baudry et al 1996, 1997), face recognition (Mouchetant-Rostaing et al
2000), somatic perception (Desmedt & Tomberg 1994) and binding of visual
elements into unitary percepts, with the magnitude of synchrony diminishing with
stimulus repetition (Gruber & Muller 2002). And loss of consciousness
associated with onset of general anesthesia is characterized by a decrease in
gamma EEG activity which returns when patients awaken (John 2001).[xx]

Figure 6. Neural network/Hebbian assembly
of cartoon neurons linked by axonal-dendritic chemical synapses.
Information/excitation flows unidirectionally (counter-clockwise) from axon to
dendrite through the network. Electrical recordings at various points show
single voltage spike potential propagating through the network.
Some
human studies have failed to support neural synchrony in perception and
cognition. Menon et al (1996) found gamma synchrony restricted to less than 2 cm
regions of cortical surface, arguing against long-range coherence. However the
study only examined a 7 cm x 7 cm region and other studies show that synchrony
drops off at intermediate ranges but then reappears at long range distances
(Nunez et al 1997). Some discrepancies
How is gamma synchrony mediated? Coherence over large distances, in some
cases multiple cortical areas and both cerebral hemispheres, shows zero, or
near-zero phase lag. Significant phase lags would be expected from the speed of
axonal conduction and delays in synaptic transmission (Traub et al 1996).
There is no evidence to support coordinated axonal spiking as the source
of gamma synchrony. As Koch (2004) states: “Gamma oscillations can be
routinely observed in the local field potential and, less frequently, when
recording multi-neuron activity (that is, the summed spikes of neighboring
cells). Detecting these rhythms in the spiking patterns of individual neurons
has proven to be more problematic….”.
A critical review (Shadlen and Movshon 1999) rejects the relevance of
synchrony to temporal binding (and consciousness) based on the lack of coherence
of spike activity, perhaps throwing away the baby with the bathwater. However
many studies have shown gamma frequency synchronized by dendritic gap junction
electrical synapses. Measuring both spikes and dendritic LFPs in multiple
regions of cat visual cortex, Fries et al (2002) showed that visual recognition
corresponded with gamma frequency EEG emanating from LFPs, not with spikes.
Figure 6 shows a cartoon neuronal network based on axonal spikes and
chemical synapses. Excitation/information flows through the network; there is no
coherence. Figure 7 shows a gap junction-linked neuronal network (a
hyper-neuron, including glial cells) with continuous membrane and cytoplasm.
Dendritic membrane throughout the hyper-neuron is excited coherently.

Figure 7. Neural network/Hebbian assembly
(‘hyper-neuron’) linked by window-like gap junctions, mostly
dendritic-dendritic but also by glial cell gap junctions. Inputs to the
hyper-neuron are from axonal-dendritic chemical synapses. Outputs from the
hyper-neuron are from axons of hyper-neuron components. Because gap
junction-connected neurons depolarize synchronously like “one giant neuron”,
electrical recordings at various points show synchronous voltage depolarizations,
e.g. at coherent 40 Hz. Both membranes and cytoplasmic interiors are continuous
throughout the hyper-neuron.
e. Gap junction assemblies—‘hyper-neurons’
Gap junctions, or electrical synapses, are
direct
open windows between adjacent cells formed by paired collars consisting of a
class of proteins called connexins (Herve
2004, Rouach et al 2002). Gap junctions occur between neuronal dendrites,
between axons and axons, between neurons and glia, between glia, and between
axons and dendrites—bypassing chemical synapses (Traub
et al 2001, Froes & Menezes 2002, Traub et al 2002, Bezzi &
Volterra 2001). Ions, nutrients and other material pass through the open gaps,
so gap junction-connected neurons have both continuous membrane surfaces and
continuous cytoplasmic interiors. Membrane depolarizations travel
bidirectionally across gap junctions, so neurons connected by gap junctions are
electrically coupled, depolarize synchronously
and “behave like one giant neuron” (Kandel et al 2000).
In early development gap
junctions link pyramidal cells with each other, with non-pyramidal neurons, and
with glia during formation of cortical circuits (Bittman et al 2002). The number
of cortical gap junctions then declines so gap junctions were considered
irrelevant to cognition or consciousness. However many studies show that gap
junctions persist significantly in the adult mammalian brain. Moreover, gap
junction circuits of cortical interneurons in adult brains mediate gamma
EEG/coherent 40 Hz and other synchronous activity (Dermietzel
1998, Draguhn et al 1998, Hormuzdi et al 2004, Bennett and Zukin 2004, Lebeau et
al 2003, Friedman and Strowbridge 2003, Buhl et al 2003, Rozental et al 2000,
Perez-Velazquez and Carlen 2000, Galaretta and Hestrin 1999, Gibson et al 1999).
At least ten different
connexins are found in mammalian brain, and their placement and function are
dynamic (Bruzzone et al 2003, Bennett and Zukin 2004). A single neuron may have
numerous gap junction connections, only some of which are open at any one time,
with rapid openings and closings regulated by cytoskeletal microtubules, and/or
phosphorylation via G-protein metabotropic receptor activity (Hatton 1998). Thus
gap junction networks are at least as dynamic and mutable as those crafted by
chemical synapses, and may include glial cells (Froes et al 1999). They fulfill
the criteria for Hebbian assemblies with the added advantage of synchronous
excitations. Networks of gap junction-linked neurons (and glia) have been termed
hyper-neurons (John et al 1986).[xxi]
Cortical inhibitory
interneurons are particularly studded with gap junctions, potentially connecting
each cell to 20 to 50 others (Amitai et al 2002). Many have dual
synapses—their axons form inhibitory GABA chemical synapses on another
interneuron’s dendrite, while the same two cells share dendro-dendritic gap
junctions (Tamas et al 2000,
Fukuda and Kosaka 2000, Galaretta and Hestrin 2001). Within each cortical hemisphere
there is no apparent limit to the extent of interneuron gap junction
networks—hyper-neurons—in which they may form a “large, continuous
syncytium” (Amitai et al 2002).
The case for gap junction
hyper-neurons involving primary neurons such as pyramidal cells in mature
brains, and extending to both hemispheres is less clear. However Venance et al
(2000) showed gap junctions between interneurons and excitatory neurons in
juvenile rat brain. Pyramidal cells in hippocampal slices show axo-axonal gap
junction coupling (Traub et al 2002), and glial cells envelope both axons and
dendrites in many chemical synapses. Neuron-glia-neuron gap junctions could thus
provide chemical synapses with alter egos as links in hyper-neurons.
Thalamo-cortical cells generating synchronous alpha and theta cortical activity
are linked by gap junctions in thalamus (Hughes et al 2004), so thalamo-cortical
projections (or trans-corpus callosum pathways) could couple both hemispheres in
hyper-neurons to account for bilateral synchrony.
In principle, all the
brain’s neurons and glia could be linked together by gap junctions. However
too many active gap junctions and near total synchrony (e.g. as in seizures)
would reduce the brain’s information processing capacity. More than three
active gap junctions per neuron (i.e. with three different neurons or glia)
would connect the entire brain into a single hyper-neuron topology.[xxii]
Thus pruning and sparseness are necessary. For the purpose of this paper,
hyper-neurons will imply gap junction-linked cortical interneurons, glia,
primary cortical neurons such as pyramidal cells and perhaps others such as
thalamo-cortical neurons which can extend throughout both cerebral hemispheres
and subcortical areas.
Brain-wide gamma synchrony
mediated by gap junctions is the best electrophysiological NCC. A logical
conclusion is that gap junction networks—hyper-neurons—are the
cellular-level NCC. Can that help explain consciousness?
A key feature of gap
junction hyper-neurons is continuous dendritic membranes which depolarize
coherently. Another key feature is continuous cytoplasmic interiors.
f. Neuronal interiors and
the cytoskeleton
The neuronal interior is
the next NCC frontier. Membrane-based neuronal input-output activities involve
changes in synaptic plasticity, ion conductance, neurotransmitter vesicle
transport/secretion and gap junction regulation—all controlled by the
intra-neuronal networks of filamentous protein polymers known as the
cytoskeleton. If simple input-output activities fully described neural function,
then fine-grained details might not matter. But simple input-output
activities—in which neurons function as switches—are only a guess, and most
likely a poor imitation of the neuron’s actual activities and capabilities.
To gauge how single neuron
functions may exceed simple input-output activities, consider the single cell
organism paramecium. Such cells swim about gracefully, avoid obstacles
and predators, find food and engage in sex with partner paramecia. They
can also learn; if placed in capillary tubes they escape, and when placed back
in the capillary tubes escape more quickly. As single cells with no synaptic
connections, how do they do it?
Pondering
the seemingly intelligent activities of such single cell organisms, famed
neuroscientist C.S. Sherrington (1957) conjectured: “of nerve there is no
trace, but the cytoskeleton might serve”. If the cytoskeleton is the nervous
system of protozoa, what might it do for neurons?
IV. The neuronal cytoskeleton
a. Microtubules and networks inside neurons
Shape, structure, growth and function of neurons are determined by their
cytoskeleton, internal scaffoldings of filamentous protein polymers which
include microtubules, actin and intermediate filaments. Rigid microtubules (MTs)
interconnected by MT-associated proteins (MAPs) and immersed in actin form a
self-supporting, dynamic tensegrity network which shapes all eukaryotic cells
including highly asymmetrical neurons. The cytoskeleton also includes MT-based
organelles called centrioles which organize mitosis, membrane-bound MT-based
cilia, and proteins which link MTs with membranes. Disruption of intra-neuronal
cytoskeletal structures impairs cognition, such as tangling of the tau MAP
linking MTs in Alzheimer’s disease (Matsuyama and Jarvik, 1989,
Iqbal
and Grundke-Iqbal 2004).
Actin is the main component of dendritic spines and also exists
throughout the rest of the neuronal interior in various forms depending on actin-binding
proteins, calcium etc. When actin polymerizes into a dense meshwork, the cell
interior converts from an aqueous solution (sol state) to a quasi-solid,
gelatinous (gel) state. In the gel state, actin, MTs and other
cytoskeletal structures form a negatively-charged matrix on which polar cell
water molecules are bound and ordered (Pollack 2001). Glutamate binding to NMDA
and AMPA receptors triggers gel states in actin spines (Fischer et al 2000).
Neuronal MTs self-assemble, and with cooperation of actin enable growth
of axons and dendrites. Motor proteins transport materials along MTs to maintain
and regulate synapses. The direction and guidance of motor proteins and synaptic
components (e.g. from cell body through branching dendrites) depends on
conformational states of MT subunits (Krebs et al 2004). Thus MTs are not merely
passive tracks but appear to actively guide transport. Among neuronal
cytoskeletal components, MTs are the most stable and appear best suited for
information processing Wherever cellular organization and intelligence are
required, MTs are present and involved.
MTs are cylindrical polymers 25 nanometers (nm = 10-9 meter)
in diameter, comprised of 13 longitudinal protofilaments which are each chains
of the protein tubulin (Figure 8). Each tubulin is a peanut-shaped dimer (8 nm
by 4 nm by 5 nm) which consists of two slightly different monomers known as
alpha and beta tubulin, (each 4 nm by 4 nm by 5 nm, weighing 55,000 daltons).
Tubulin subunits within MTs are arranged in a hexagonal lattice which is
slightly twisted, resulting in differing neighbor relationships among each
subunit and its six nearest neighbors (Figure 9). Thus pathways along contiguous
tubulins form helical pathways which repeat every 3, 5 and 8 rows (the Fibonacci
series). Alpha tubulin monomers are more negatively charged than beta monomers,
so each tubulin (and each MT as a whole) is a ferroelectric dipole with positive
(beta monomer) and negative (alpha monomer) ends.[xxiii]
In non-neuronal cells and in neuronal axons, MTs are continuous and
aligned radially like spokes of a wheel emanating from the cell center. MT
negative (alpha) ends originate in the central cell hub (near the centrioles, or
MT-organizing-center adjacent to the cell nucleus) and their positive (beta)
ends extend outward to the cell perimeter. This is the case in axons, where the
negative ends of continuous MTs originate in the axon hillock, and positive ends
reach the pre-synaptic region.

Figure
8. Microtubule (left) is a cylindrical polymer of subunit proteins known
as tubulin arranged in a skewed hexagonal lattice. Each tubulin can exist in two
or more conformational states, e.g. open (black) or closed (white). Right: Each
tubulin state is governed by quantum mechanical London forces—collective
positions of hundreds of electrons (represented here as two electrons) in
nonpolar hydrophobic regons within the protein. Because of governance by quantum
forces, it is proposed that tubulins can exist in quantum superposition of both
conformations (black and white=gray). The actual displacement in the
superposition separation need only be the diameter of a carbon atom nucleus, but
is illsutrated here as roughly 10% of the protein volume.
However
dendritic cytoskeleton is unique. Unlike axons and any other cells, MTs in
dendrites are short, interrupted and mixed polarity. They form networks
interconnected by MAPs (especially dendrite-specific MAP2) of roughly equal
mixtures of polarity. There is no obvious reason why this is so—from a
structural standpoint uninterrupted MTs would be preferable, as in axons.
Networks of mixed polarity MTs connected may be optimal for information
processing.
Intra-dendritic MT-MAP networks are coupled to dendritic synaptic
membrane and receptors (including dendritic spines) by mechanisms including
calcium and sodium flux, actin and metabotropic inputs including second
messenger signaling e.g. dephosphorylation of MAP2 (Halpain and Greengard 1990).
Alterations in dendritic MT-MAP networks are correlated with locations,
densities and sensitivities of receptors (e.g. Woolf et al 1999). Synaptic
plasticity, learning and memory depend on dendritic MT-MAP networks.
Since Sherrington’s observation in 1957, the idea that the
cytoskeleton—MTs in particular—may act as a cellular nervous system has
occurred to many scientists. Vassilev et al (1985) reported that tubulin chains
transmit signals between membranes, and Maniotis et al (1997a, 1997b)
demonstrated that MTs convey information from membrane to nucleus. But MTs could
be more than wires. The MT lattice is well designed to represent and process
information, with the states of individual tubulins playing the role of bits in
computers. Conformational states of proteins in general (e.g. ion channels
opening/closing, receptor binding of neurotransmitter etc.) are the currency of
real-time activities in living cells. Numerous factors influence a protein’s
conformation at any one time, so individual protein conformation may be
considered the essential input-output function in biology.
b. Microtubule automata
The peanut-shaped tubulin dimer switches between two conformations in
which the alpha monomer flexes 30 degrees from vertical alignment with the beta
monomer. These are referred to as open and closed states (Figure
8, Melki et al 1989, Hoenger and Milligan 1997, Ravelli et al 2004).[xxiv]
Atema (1973) proposed that tubulin conformational changes propagated as signals along MTs in cilia. Hameroff and Watt (1982) suggested that the MT lattice acted as a two-dimensional computer-like switching matrix with tubulin states influenced by neighbor tubulins, and input/output occurring via MAPs.[xxv] MT information processing was also viewed in the context of cellular automata (Smith et al 1984, Rasmussen et al 1990).
Cellular automata are self-organizing information systems based on
lattices of fundamental units (cells) whose states interact with neighbor
cells at discrete time steps. In a two dimensional checkerboard lattice, each
cell has eight neighbors (corner neighbors included) and exists in two (or more)
possible states. Neighbor interaction rules determine each cell’s state at the
next time step.
A well-known example is the Game of Life in which two possible
states of each cell whimsically represent either alive or dead on a checkerboard
lattice (Gardner 1970). There are three neighbor rules:
·
If
the number of live neighbors is exactly two, the cell maintains status quo into the next generation. Thus if the cell is alive, it
stays alive, if it is dead, it stays dead.
·
If
the number of live neighbors is exactly three, the cell will be alive in the
next generation regardless of the cell's current state. A dead cell is
“born”, a live cell lives on.
·
If
the number of live neighbors is 0, 1, or 4-8, the cell will be dead in the next
generation due to not enough support (0 or 1) or overcrowding (4-8).
The generations are synchronized by a universal
clock mechanism. Starting from random initial patterns, complex
behaviors emerge, for example chaotic dynamics (Wolfram 1984, Langton 1990).
However common types of patterns generally appear: stable objects,
oscillators/blinkers and gliders which move through the grid. Streams of
gliders can perform all logic and memory functions on which computers are based.
The Game of Life and cellular automata in general are universal
computers.
MTs were modeled as automata in which tubulin conformational states
(open, closed) interacted with neighbor tubulin states by dipole interactions.
Dipole strengths in open and closed conformations were used to
generate interaction rules. Thus the dipole-coupled conformation for each
tubulin was determined at each generation by the sum of the dipoles of its six
surrounding neighbors.[xxvi]
Because of the skewed hexagonal geometry, contributions from each of the six
neighbors differed (Figure 9). The generations, or time steps were assumed to be
nanoseconds, following Fröhlich’s suggestion of coherent excitations.

Figure 9. The lattice of tubulins in
microtubules. Left: The lattice showing the tubulin dimers as (negatively
charged) alpha monomers and (positively charged) beta monomers. Middle: A
tubulin neighborhood is defined by identifying the central tubulin C and its 6
surrounding neighbors by compass points: N (north), NE (northeast), SE
(southeast), S (south), SW (southwest), NW (northwest). Right: The spacings (in
nanometers) and definition of angle Ө. y is the vertical distance between
(the same points on) any two neighboring dimers and r the absolute distance.
While y varies, the horizontal distance is always 5 nanometers. Curvature around
the cylinder is ignored and the dipole force between dimers related to y/r3.
From Rasmussen et al (1990).

Figure 10. Cellular automata. Top two
rows: Two different sequences of gliders moving in the Game of Life. In the
first row the glider moves downward; in the second row the glider moves upward.
Bottom two rows: Two different sequences of gliders moving and patterns
evolving in microtubule automata. In third row, gliders move downward through
the microtubule; in the fourth row, patterns move both upward (black column, 4th
protofilament) and downward (white column, 2nd protofilament).
Herbert Fröhlich (1968, 1970, 1975) proposed that a set of dipoles
constrained in a common geometry and electric field would oscillate in phase,
coherently like a laser[xxvii]
if biochemical energy were supplied. Membrane proteins and tubulins in MTs are
predicted to oscillate in the range of 10-9 to 10-11
seconds.[xxviii]
Simulations
of MT automata showed stable patterns, blinkers and propagating gliders
(velocity 8 to 800 m/sec,[xxix]
Figure 10). Two MT automata interconnected by MAPs exhibited recognition and
learning (Figure 11; Rasmussen et al 1990).
MT
automata potentially increase cellular and brain-wide information processing
enormously. Neurons each contain at least 107 tubulins (Yu and Baas
1994); switching in nanoseconds (109/sec) predicts roughly 1016
operations per second per neuron.[xxx]
But enhanced information processing per se
fails to answer fundamental
questions about consciousness. A clue lies in the mechanism of switching in
proteins.

Figure
11. Interior schematic of dendrite showing unique mixed polarity networks of
microtubule automata interconnected by microtubule-associated proteins (MAPs).
Inputs to microtubule automata (orchestration) from e.g. glutamate activation of
dendritic spine receptors are conveyed by sodium and calcium ion flux along
actin filaments. MAPs convey information between MTs to form an automaton
network. Output/results of MT automaton network processing can trigger axonal
spikes, regulate synapses and hardwire memory.
c.
Protein conformational dynamics—Nature’s bits and qubits
Proteins
are the engines of life, dynamically changing conformational shape at multiple
scales (Karplus and McCammon 1983). Functional changes occur in 10-6
sec to 10-11 sec transitions. Proteins have large energies with
thousands of kiloJoules per mole (kJ mol-1) but are only marginally
stable against denaturation by ~40 (kJ mol-1). Consequently protein
conformation is a "delicate balance among powerful countervailing
forces" (Voet and Voet 1995).
Individual
proteins are linear chains of amino acids which fold into three-dimensional
conformations.[xxxi]
The driving force in folding is joining together of uncharged non-polar amino
acid groups, repelled by solvent water. These hydrophobic groups attract
each other by van der Waals forces, avoiding water and burying themselves within
protein interiors forming (in some proteins) hydrophobic pockets.[xxxii]
Volumes of pockets (~0.4 cubic nanometers) are 1/30 to 1/250 the volume of
single proteins. Though tiny, hydrophobic pockets are critically important in
the determination of protein conformation both in folding and regulation of
conformational dynamics. Hydrophobic pockets may act as the brain of a protein.
Non-polar (but polarizable) amino acid side groups within hydrophobic
pockets interact by van der Waals London forces. Electrically neutral atoms and
non-polar molecules can have instantaneous dipoles in their electron cloud
distribution. Electrons in clouds from neighboring non-polar amino acid side
groups repel each other, inducing mutual fluctuating dipoles which then couple
to each other like oscillating magnets. As high energy forces cancel out, weak
but numerous (thousands per protein) London forces govern protein conformation
(Figure 8).[xxxiii]
Due to inherent uncertainty in electron localization, London forces are
quantum mechanical effects. Thus proteins governed by London forces in
hydrophobic pockets are quantum levers, amplifying quantum forces to govern
conformational changes and physical effects. Prevention of quantum leverage
accounts for the action of anesthetic gases.
d. Anesthesia
Millions
of people every year undergo general anesthesia for surgery with complete and
reversible loss of consciousness. At a critical concentration of
anesthetic drug, consciousness is erased while many nonconscious functions of
brain and other organs continue (e.g. EEG, evoked potentials, control of
breathing). How does this happen?
The situation seems confusing, with many different types of drugs acting on many different types of proteins in the brain (e.g. receptors for various excitatory and inhibitory neurotransmitters, channels, enzymes, connexin in gap junctions (Masaki et al 2004, He & Burt 2000), actin, tubulin in microtubules). Purely inhalational anesthetic gases which travel through the lungs and blood to the brain constitute a variety of types of molecules: halogenated hydrocarbons, ethers, the inert element xenon, nitrous oxide etc. However there is one important unifying feature.
All anesthetic gas molecules are non-polar, and thus poorly soluble in water/blood, but highly soluble in a particular lipid-like, hydrophobic environment akin to olive oil. The potency of anesthetic gases in erasing consciousness correlates perfectly with solubility in such an environment. The brain has a large lipid-like (olive oil-like) domain, both in lipid regions of neural membranes and hydrophobic pockets within certain proteins. Anesthetics were originally thought to act in lipid regions of membranes, but protein hydrophobic pockets were determined to be their primary sites of action (Franks and Lieb 1982). Anesthetic gases bind to non-polar amino acid groups in the pockets (e.g. the benzene-like ring in phenylalanine, and the indole ring in tryptophan) by van der Waals London forces, the same quantum forces which form the pockets and govern conformational dynamics.
Why do weak quantum forces have such profound and selective effects? Anesthetic gas molecules form their own London force interactions with non-polar amino acid groups, preventing or altering normally occurring London forces necessary for protein conformational dynamics and consciousness. Anesthetic gases prevent quantum leverage.
Most protein conformational changes are unaffected by general anesthetics—muscle contractility, enzyme function and most brain activities (as evidenced by EEG and evoked potentials) continue during anesthesia. Axonal action potentials are also relatively unaffected by general anesthetics. Proteins which are affected include post-synaptic receptors (acetylcholine, serotonin, GABA and glycine), tubulin (Allison and Nunn 1968) and actin, which disassembles in dendritic spines when exposed to anesthetics (Kaech et al 1999).
Anesthetics act (and consciousness occurs) not in any one brain region, or in any one type of neuron or particular protein. Rather, anesthesia and consciousness occur in hydrophobic pockets of a class of proteins in dendrites throughout the brain (Hameroff 1998c). In these pockets, quantum London forces govern protein function responsible for consciousness. Does that imply that consciousness is a quantum process?
V. Quantum information
processing
a. Quantum mechanics
Reality is described by quantum
physical laws that reduce to classical rules (e.g. Newton’s laws of motion) at
certain large scale limits. According to quantum physical laws:
Objects/particles may exist in
two or more places or states simultaneously—more like waves than particles and
governed by a quantum wavefunction. This property of multiple coexisting
possibilities is known as quantum superposition.
Why don’t we see quantum
superpositions in our world? How are quantum particles connected over distance?
Experiments show that quantum superpositions persist
until they are measured, observed or
interact with the classical environment (decohere).
If such interactions occur, quantum superpositions reduce, collapse or decohere
to particular classical states, with the particular choice of states apparently
random. What actually constitutes the act of measurement/observation is unclear,
as is the fate of isolated, unmeasured quantum superpositions. Interpretations
of quantum mechanics address this issue:
How can objects actually be in
multiple locations or states simultaneously? Penrose (1989, 1994) takes
superposition as an actual separation in underlying reality at its most basic
level (fundamental spacetime geometry at the Planck scale of 10-33
cm).[xxxv]
This is akin to the multiple worlds view (superpositions are amplified to form a
separate universe), however
according to Penrose the separations are unstable and (instead of branching off
completely) spontaneously reduce (self-collapse) due to an objective feature of
spacetime geometry.[xxxvi]
Accordingly, the larger the superposition, the more
rapidly it reduces. For example an isolated one kilogram object in superposition
would meet OR quickly, in only 10-37 seconds. An isolated
superpositioned electron would undergo OR only after 10 million years. Penrose
OR is currently being tested experimentally (Marshall et al 2003).
In The
emperor's new mind Penrose (1989) suggested that choices resulting from this
OR were not random (as are those from measurement and decoherence) but
influenced by Platonic information embedded at the Planck scale, the fundamental
level of the universe. Moreover this particular type of non-random,
non-algorithmic (non-computable) selection is characteristic of conscious
choices, differing in a basic way from the output of classical computers.
Therefore Penrose proposed that OR-mediated quantum computation must be
occurring in the brain. Quantum computation (see next Section) relies on both superposition and
entanglement.
Entanglement is even
stranger than superposition. Quantum theory predicted that
complementary quantum particles (e.g. electrons in coupled spin-up and
spin-down pairs) would remain entangled even when separated. Einstein, Podolsky
and Rosen (1935) described a thought experiment to disprove this notion (Figure
3). An entangled complementary pair of superpositioned electrons (EPR pairs)
would be separated and sent in different directions along two different wires,
each electron remaining in superposition. When one electron was measured at its
destination and, say, spin-up was observed, its entangled twin miles away would
correspondingly reduce instantaneously to spin-down which would be confirmed by
measurement. This would require a faster-than-light signal which Einstein’s
special relativity had precluded. Nonetheless since the early 1980s (Aspect et
al 1982, Tittel et al 1998) this type of experiment has been performed through
wires, fiber optic cables and via microwave beams through atmosphere.
Entanglement has been repeatedly confirmed. The mechanism of instantaneous
communication remains unknown, seeming to violate special relativity.
To explain
entanglement, Penrose (2004, c.f. Bennett & Wiesman 1992) suggested backward
time referral of quantum information, i.e. from the measurement back in time to
the unified complementary pair, then forward in time to the opposite twin
(Figure 3). In the quantum world, time is symmetric (bidirectional), or the flow
of time doesn’t exist.
Although poorly
understood, entanglement and superposition are used in quantum computing and
related technologies.
b. Quantum computation
Proposed in the 1980s (independently) by Benioff (1982), Deutsch (1985)
and Feynman (1986), quantum computers (and quantum cryptography and
teleportation) are being developed in a variety of technological
implementations.
The basic idea is this. Conventional computers represent digital
information as binary bits of either 1 or 0. Quantum computers can
represent quantum information as superpositions of both 1 AND 0 (quantum bits, or qubits). While in
superposition (and isolated from environment) qubits interact with other qubits
by nonlocal entanglement, allowing interactions to evolve[xxxvii]
resulting in computation of enormous speed and near-infinite parallelism. After
the interaction/computation is performed, qubits are reduced/collapsed to
specific classical bit states by measurement, giving the output or solution.[xxxviii]
The major hurdle to quantum computing is the sensitivity of quantum
superpositions to disruption by thermal vibration or any interaction with the
environment—decoherence. Consequently quantum computing prototypes have been
built to operate at extremely cold temperatures to avoid thermal noise, and in
isolation from the environment.
In the mid 1990s quantum error correcting codes were developed which
could detect and correct decoherence, preserving the quantum information (Steane
1998). Topological quantum error correction was developed in which the geometry
of the quantum computer lattice was inherently resistant to decoherence. For
example a quantum computer could utilize the Aharonov-Bohm effect in which
alternate possible paths of a quantum particle are considered as a superposition
of paths (Kitaev 1997). So lattice pathways (rather than individual components
of those pathways) can be global qubits resistant to decoherence.
c. Quantum
computing with Penrose OR
Technological qubits reduce/collapse by measurement, bringing in a
component of randomness averaged out by redundancy. According to Penrose (1989)
quantum computation which self-collapses by OR avoids randomness, instead
providing a non-computable influence stemming from Platonic values embedded at
the Planck scale. Such quantum computation would be algorithmic up to the
instant of OR, with an added modification then occurring.
The Penrose argument for non-computability using Gödel’s theorem was
harshly criticized but not refuted. For consciousness, OR also provides
explanations for:
Penrose initially had no clear candidate for biological qubits in the
brain, suggesting only the possibility of superpositions of neurons both firing
and not firing. Microtubules seemed ideal for the type of quantum computation
Penrose was suggesting.
Penrose implied that nonconscious processes capable of becoming conscious utilize quantum information. What do we know about nonconscious[xxxix] processes?
VI. The quantum subconscious
German psychologist Frederic
Meyer in 1886 described subliminal
consciousness, followed by William James’ transmarginal
consciousness or fringe, a region
of the mind just outside consciousness but accessible to it.
Sigmund Freud saw dreams as
the “Royal road to the unconscious” whose bizarre character was due to
censorship and disguise of thwarted drives. Freud’s ideas became downplayed,
and dreams characterized as mental static (e.g. Hobson 1988, 2004). However
recent brain imaging shows dream-associated REM sleep activity in regions
associated with emotion and gratification (Solms 2000, 2004).
Chilean psychologist Ignacio Matte Blanco (1975, c.f. Rayner 1995) compared logic structure in dreams to the Aristotelian logic of waking consciousness in which, for example, the logic statement:
If x, then y
does not imply the statement:
If y then x.
This is obvious to our conscious minds. For example:
If the light turns green, then I go
Does not imply:
If I go, then
the light will turn green.
However from decades of dream
analysis Matte Blanco determined two non-Aristotelian axioms of the logic of the
unconscious: symmetry and generalization. In dreams:
If
x then y
implies
that also
If
y then x.
In dreams, according to Matte Blanco:
If
the light turns green, then I go
implies that also:
If
I go, then the light turns green.
Generalization means that any entity is a part of a whole, and when symmetry and generalization are combined, paradox occurs. For example:
If a hand is part of the body
then also:
The body is part of the hand.
The seeming contradiction of any set being a subset of itself defines an infinite set, and is also holographic (and fractal). Any part of a whole also contains the whole within the part.[xl]
Symmetry also means that:
If event a happened after event b,
then also:
Event b
happened after event a.
From this Matte Blanco
concludes: “..the processes of the
unconscious …are not ordered in time.”
Another implication of unconscious logic is that apparently negating propositions (e.g. p and not p) may be true, resulting in coincidence of contraries. For example (to use Matte Blanco’s example):
x is alive
and
x is dead
are both true (e.g. when time is removed. More generally, according to Matte Blanco, “the unconscious is unable to distinguish any two things from each other”.
The unconscious utilizes
multiple coexisting possibilities, inseparability and timelessness, very much
like quantum information. Matte Blanco summarized the unconscious as “where
paradox reigns and opposites merge to sameness”, also an apt description of
the quantum world.
VII. Quantum computation in microtubules—The Orch OR model
a.
Specifics of Orch OR
In
a proposal for the mechanism of consciousness, Roger Penrose and I have
suggested that microtubule (MT) quantum computations in neurons are orchestrated
by synaptic inputs and MT-associated proteins (MAPs), and terminate (e.g.
after 25 msec, 40 Hz) by Roger’s objective reduction OR mechanism. Hence the
model is known as orchestrated objective reduction, Orch OR. Complete details
may be found in Penrose and Hameroff (1995), Hameroff and Penrose (1996a &
1996b) and Hameroff (1998a). The key points are:
1) Conformational states of tubulin protein subunits within dendritic MTs interact with neighbor tubulin states by dipole coupling such that MTs process information in a manner analogous to cellular automata which regulate neuronal activities (trigger axonal spikes, modify synaptic plasticity and hardwire memory by MT-MAP architecture etc.).
2) Tubulin conformational states and dipoles are governed by quantum
mechanical
3)
While in superposition, tubulin qubits communicate/compute by
entanglement
4)
Dendritic interiors alternate between two states determined by
polymerization of
5)
Quantum states of tubulin/MTs in gel phase are isolated/protected from
6)
During quantum gel phase, MT tubulin qubits represent pre-conscious information
as quantum information—superpositions of multiple possibilities, of which
dream content is exemplary.
7) Pre-conscious tubulin superpositions reach threshold for Penrose OR (e.g.after 25 msec) according to E=ħ/t in which E is the gravitational self-energy of the superpositioned mass (e.g. the number of tubulins in superposition), ħ is Planck’s constant over 2π, and t is the time until OR. Larger superpositions (more intense experience) reach threshold faster. For t=25 msec (i.e. 40 Hz) E is roughly 1011 tubulins, requiring a hyper-neuron of minimally 104 neurons per conscious event (Hameroff and Penrose 1996a). The makeup of the hyper-neuron (and content of consciousness) evolves with subsequent events.
8)
Each 25 msec OR event chooses ~1011 tubulin bit states which
proceed by MT automata to govern neurophysiological events, e.g. trigger axonal
spikes, specify MAP binding sites/restructure dendritic architecture, regulate
synapses and membrane functions. The quantum computation is algorithmic but at
the instant of OR a non-computable influence (i.e. from Platonic values in
fundamental spacetime geometry) occurs.
9)
Each OR event ties the process to fundamental spacetime geometry,
enabling a Whiteheadian pan-protopsychist approach to the 'hard problem' of
subjective experience. A sequence of such events gives rise to our familiar
stream of consciousness.
Applications
of Orch OR to aspects of consciousness and cognition will be considered in
Section VIII.
b. Decoherence
Decoherence is the disruption of quantum superposition due to energy or
information interaction with the classical environment. Consequently quantum
technology is generally developed in ultra-cold isolation, and physicists are
skeptical of quantum computing in the “warm, wet and noisy” brain.
However biological systems may
delay decoherence in several ways (Davies 2004). One is to isolate the quantum
system from environmental interactions by screening/shielding. Intra-protein
hydrophobic pockets are screened from external van der Waals thermal
interactions; MTs may also be shielded by counter-ion Debye plasma layers (due to charged C-termini tails on
tubulin) and by water-ordering actin gels (Hameroff et al 2002). Biological
systems may also exploit thermodynamic gradients to give extremely low effective
temperatures (Matsuno 1999).
Another possibility concerns
decoherence-free subspaces. Paradoxically, when a system couples strongly to its
environment through certain degrees of freedom, it can effectively “freeze”
other degrees of freedom (by a sort of quantum Zeno effect), enabling coherent
superpositions and entanglement to persist (Nielson & Chuang 2001).
Metabolic energy supplied to MT collective dynamics (e.g. Fröhlich coherence)
can counter decoherence (in the same way that lasers avoid decoherence at room
temperature). Finally, MT structure seems ideally suited for topological quantum
error correction by the Aharonov-Bohm effect (Hameroff et al 2002).
Attempting to
disprove a role for quantum states in consciousness, Max Tegmark (2000, c.f.
Seife 2000) calculated MT decoherences times of 10-13 sec, far too
brief for neural activities. However Tegmark did not address Orch OR nor any
previous proposal, but his own quantum MT model which he did indeed successfully
disprove. Hagan et al (2002) recalculated MT decoherence times with Tegmark’s
formula[xliii]
but based on stipulations of the Orch OR model. For example Tegmark used
superposition of solitons “separated from themselves” along a microtubule by
a distance of 24 nanometers. In Orch OR, superposition separation distance is
the diameter of a carbon atom nucleus, 6 orders of magnitude smaller. Since
separation distance is in the denominator of the decoherence formula, this
discrepancy alone extends the decoherence time 6 orders of magnitude to 10-7
seconds. Additional discrepancies (charge versus dipole, correct dielectric
constant) extend the calculated decoherence time to 10-5 to 10-4
sec. Shielding (counter-ions, actin gel) extends the time into physiological
range of tens to hundreds of msec. Topological (Aharonov-Bohm) quantum error
correction may extend MT decoherence time indefinitely.[xliv]
Is the brain truly “wet and noisy”? In gel state MTs are in a
quasi-solid environment with ordered water. As for “noisy”,
electrophysiological background fluctuations show ongoing “noise” to
actually correlate over distances in the brain (Arieli et al 1996, Ferster
1996).
Experimental evidence
shows that electron quantum spin transfer between quantum dots connected by
organic benzene molecules is more efficient at room temperature than at
absolute zero (Ouyang and Awschalom, 2003). The same structures are found in
amino acids (phenylalanine, tyrosine, tryptophan) in hydrophobic pockets of
proteins. Other experiments have shown quantum wave behavior of biological
porphyrin molecules (Hackermüller et al., 2003), and still others that noise
can enhance some quantum processes (Beige et al 2004). Evolution has had billions of years to solve the decoherence problem
(Section IXf).

Figure
12. Interior schematic of dendrites in quantum isolation phase. Actin has
polymerized into gel form and MAPs detached, shielding and isolating MTs whose
tubulins have evolved into quantum superposition.
c. Testability and
falsifiability
In 1998 twenty testable predictions of Orch OR were published (Hameroff 1998a). Of these the following have been validated: signaling along MTs (Maniotis et al 1997a, 1997b), correlation of synaptic function/plasticity with cytoskeletal structure (Khuchua et al 2003, Woolf 1998, O'Connell et al 1997), actions of psychoactive drugs involve MTs (Andrieux et al 2002), and gap junctions mediate gamma synchrony/40 Hz (numerous references cited in Section IIIe). Others are currently being tested, and all are listed in the endnotes.[xlv] None have as yet been proven wrong. With the possible exception of the link to Planck scale geometry, all are imminently testable. Orch OR is falsifiable—it need only be shown that consciousness can occur without dendrites, gap junctions (or some other mechanism for brain-wide quantum coherence), microtubules or quantum computation and Orch OR is falsified

Figure 13. Conscious events. Top: Microtubule automata enter pre-conscious quantum superposition phase (gray tubulins) until threshold for OR is met after 25 msec (this would involve superposition of 1011 tubulins in tens of thousands of neurons interconnected by gap junctions). A conscious moment (NOW) occurs, new classical states of tubulins are chosen and a new sequence begins. Middle: Phase diagram of increasing superposition in gel phase which meets threshold after e.g. 25 msec. A conscious event (NOW) occurs, and the cycle repeats. Bottom: After each OR event, quantum information is sent backward in time to influence previous event. Classical information (memory) goes forward in time.
VIII. Applications of Orch OR to consciousness and cognition
a.
Visual consciousness
Visual components (e.g. shape, color, motion) are processed in separate
brain areas and at different times but integrated into unified visual gestalts.
How does this occur? And how do 40 Hz excitations relate to longer periods
associated with the visual gestalt (e.g. 250 to 700 msec)?
Thalamic inputs to V1 are fed-forward to areas V2, V3, V4 and LO for
shape recognition, then to V8 and V4v for color, and to V5, V3A and V7 for
motion, then back to V1 and pre-frontal cortex. In Woolf and Hameroff (2001) we
suggested that these component steps each correspond with 40 Hz excitations, and
microconsciousness as proposed by Zeki (2003). To unify components in a visual
gestalt after 250 msec, a cumulative snowball effect—a crescendo of crescendos—occurs (corresponding with the growth of a hyper-neuron,
Figure 14). Commenting on this proposal Gray (2004) points out that we are
conscious only of the visual gestalt, not incremental components. This suggests
that backward referral enables each OR event to refer quantum information
backward in time (the duration proportional to E). Thus quantum information/qualia of visual components are
referred back to the initial V1 potential, resulting in an integrated visual
gestalt early in the integration process. Consequently tennis and
baseball players consciously see and recognize the ball’s shape, color and
motion early enough to respond successfully. In the color phi phenomenon the
brain fills in the gap by
backwards referral from the subsequent location. Thus unlike retrospective
construction, conscious sensation actually occurs in transit between the two
locations.[xlvi]

Figure 14. Visual gestalts. Left: A
crescendo sequence of ~25 msec/40 Hz quantum computations/conscious events of
components of conscious vision culminating in an integrated visual gestalt after
e.g. 250 to 700 msec (modified from Woolf and Hameroff 2001). The intensity (y
axis) is related to the amount of superposition represented by E=ħ/t. Thus
the slope/intensity for each event is inversely proportional to time to OR.
Right: Modified version in which components are referred backward in time as
nonconscious quantum information. The duration backward in time is related to
slope/intensity of each component event. Thus an integrated visual gestalt
occurs early in visual processing.
b. Volition and free will
Volition and free will raise two major issues. One is time, in which we
apparently act prior to processing the relevant inputs to which we respond.
Backward time referral of unconscious quantum information can solve this
problem.
The other issue is determinism. If brain processes (including
nonconscious processes) and events in our environment are algorithmic—even if
highly nonlinear/chaotic—then our actions are deterministic products of
genetic influences and experience. Wegner (2002) concludes that free will is the
(illusory) conscious experience of acting deterministically. The non-computable
aspect of Penrose OR can help.
Suppose I am playing tennis about to return my opponent’s ground
stroke. As I begin to get my racket in position, I consider hitting a) to his
forehand, b) to his backhand, c) a drop shot. A quantum superposition of these
three possibilities (manifest as tubulin qubits) in a pre-motor cortical
hyper-neuron evolves and reaches threshold for OR, at which instant one set of
tubulin states corresponding with one action (e.g. hit to his forehand) is
chosen resulting in the appropriate set of axonal spikes to execute the choice.
Could such actions be completely algorithmic and classical? Yes, but in
addition to the beneficial time effect, the non-computable influence in Penrose
OR can provide intuition, tipping the
balance to the appropriate choice.[xlvii]
Sometimes (it seems to me at least) we do things and we’re not quite sure why
we do them.
This is not free will in the sense of complete agency because the
non-computable influence is ultimately deterministic.[xlviii]
What we experience as free will is algorithmic processes influenced by
non-computable factors. This differs from Wegner’s (2002) view in that 1) our
actions are not completely algorithmic, and 2) because of backward time
referral, decisions are made consciously, concomitantly with the experience of
the choice and action, and 3) consciousness is not epiphenomenal.
c. Quantum associative memory
Evidence suggests memory is hard-wired in dendritic cytoskeletal
structure (Khuchua et al 2003, Woolf 1998, O'Connell et al 1997).
Woolf and Hameroff (2001) suggested perception of a stimulus precipitates
conscious awareness of associated memory via EPR-like OR of entangled
(associated) information. This implies that disparate contents of unified
consciousness remain entangled in memory (Hameroff 2004).
d. The hard problem of conscious experience
How the brain produces phenomenal experience composed of qualia—the
smell of a rose, the felt qualities of emotions, and the experience of a stream
of conscious thought—is the ‘hard problem’ (Chalmers 1996).
Broadly speaking, there are two scientific
approaches: 1) emergence (experience
arises as a novel property from complex interactions among simple components in
hierarchical, recursive systems), and 2) some form of panpsychism, pan-protopsychism,
or pan-experientialism (essential
features or precursors of conscious experience are fundamental components of
reality, accessed and organized by brain processes).
Emergence derives from the mathematics of
nonlinear dynamics, e.g. describing weather patterns, candle flames and
self-organizing computer programs. Is consciousness an emergent property of
interactions among neurons (or among tubulin proteins in microtubules)? Perhaps,
but emergent phenomena generally have predictable and testable transition
thresholds, and none have as yet been put forth for consciousness.
Panpsychism, pan-protopsychism, and
pan-experientialism view consciousness as stemming from fundamental,
irreducible components of physical reality, like electrical charge, or spin.
These components just are.
Philosopher Abner Shimony (1993) observed that
Whitehead occasions could be construed as quantum state reductions, consistent
with Penrose OR. If so, what is Whitehead’s basic field of proto-conscious
experience?
Penrose OR describes events in fundamental
spacetime geometry, the foundational level of the universe. Going down in scale
below the size of atoms (10-8 cm) spacetime is smooth until the
Planck scale is reached at 10-33 cm where coarseness, granularity—information—occur.[xlix]
The Planck scale is approached in modern physics through string theory, quantum
gravity, twistor theory, spin networks etc. Although the correct description is
unknown, it is known that the Planck
scale is quantized and nonlocal, and the level at which Penrose suggests quantum
superpositions occur as separations, and where Platonic values exist. It is also
at this ubiquitous level that proto-conscious qualia are proposed to be embedded
(Hameroff and Penrose 1996b), hence pan-protopsychism.
If so, Whitehead’s occasions of experience may
be Orch OR events occurring in a pan-protopsychist field manifest at the Planck
scale. Quantum computations with OR in microtubules connect our brains to the funda-mental
level of reality. Each Orch OR event accesses and selects a particular
set/pattern of proto-conscious qualia which manifest as consciousness at the
instantaneous moment of reduction—an occasion of experience.[l]
A sequence of such events gives rise to our stream of consciousness.
e. What is consciousness?
The Orch OR model proposes that consciousness is OR. OR is
consciousness. To be consistent and provide consciousness with ontological
distinction: 1) all quantum superpositions are proto-conscious, and 2) any Penrose OR must be conscious, regardless of where or how it occurs.
Are brains the only site?[li]
Superpositions are common
(ubiquitous at the Planck scale, hence pan-protopsychism) but Penrose OR
requires stringent conditions. The time to reach threshold for OR is inversely
related to the amount of superpositioned mass (E=ħ/t, the larger the superposition, the more quickly it
reaches threshold). Decoherence
(i.e. by interaction with the environment) must be avoided by isolating the
superposition until threshold is met. Small superpositions are easier to
isolate/avoid decoherence but require longer times to reach threshold. Large
superpositions reach threshold quickly but are more difficult to isolate.
Conscious brain activities occur in the range of tens to hundreds of msec (e.g.
25 msec for 40 Hz), requiring nanograms of superpositioned proteins.
Proteins are optimal quantum
levers, large enough to exert causal efficacy in the macroscopic physical world
but small (and delicately balanced) enough to be in superposition and
mechanically governed by quantum London forces. Protein-based OR/consciousness
is a self-organizing process on the edge between the quantum and classical
worlds.
f. Consciousness and
evolution
Has evolution favored
consciousness? The functionalist view of consciousness as illusory epiphenomenon
seems to offer few advantages for adaptation and survival. However Orch OR
offers the following potential benefits: 1) Quantum computing (e.g. search
algorithms) offers faster (near-infinitely parallel) processing than
conventional computing, 2) Penrose non-computability would confer intuitive
unpredictability, e.g. in predator-prey relationships, and 3) Backward time
referral and near-instantaneous semantic perception and response would also be
beneficial, e.g. in predator-prey relationships. Thus evolution would favor
quantum isolation mechanisms for larger and larger superpositions, e.g.
proteins, assemblies of proteins, assemblies of assemblies of proteins
(neurons), assemblies of neurons/hyper-neurons…brains, resulting in faster and
more useful times to OR.[lii]
There is also the possibility that biology evolved and adapted to a pre-existing
proto-consciousness.
IX. Conclusion
The Penrose-Hameroff Orch OR theory “goes out on a limb” to address
the puzzling facets of consciousness. It has engendered criticism because 1) it
differs markedly from conventional wisdom, and 2) significant quantum processes
seem unlikely in the warm brain milieu. But conventional wisdom fails to address
puzzling facets of consciousness, and evidence suggests that biology has evolved
mechanisms for brain-temperature quantum processes. Orch OR is consistent with
all known neuroscience, cognitive science, biology and physics although it
extends these disciplines theoretically. Moreover, unlike conventional theories
Orch OR is testable and falsifiable. Spanning neurobiology, physics and
philosophy, it is the most complete theory of consciousness.
Acknowledgments:
Dedicated to the memory of Jeffrey Gray. I am grateful to Sir Roger Penrose for
collaboration and insight, to Dave Cantrell for artwork, Patti Bergin for
manuscript preparation and to the following friends and colleagues (none of whom
necessarily endorse my position) for manuscript review and suggestions: Samantha
Clark, Walter Freeman, Uriah Kriegel, Steve Macknik, Susana Martinez-Conde,
Mitchell Porter, Paavo Pylkkanen, Logan Trujillo, Jack Tuszynski, Fred Alan Wolf
and Nancy Woolf.
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Endnotes
[i] Visual information
apparently flows from V1 in two streams (Ungerleider & Mishkin 1982,
Milner & Goodale 1995). The dorsal stream from V1 to posterior parietal
cortex is thought to provide visual information for on-line, non-conscious
control of many kinds of actions. This pragmatic representation for
immediate goal-directed behavior is created faster than the ventral stream
semantic representation which corresponds with consciousness. The assumption
is that the brain creates an illusion of conscious control of such dorsal
stream-mediated actions.
[ii]
Epiphenomenal in this case refers to the type of immediate actions which may
be reflexive (e.g. dorsal stream-mediated) but seem conscious to the one
performing them. Those who ascribe such actions to non-conscious activities
(e.g. Koch 2004, Gray 2004, Libet 2004) argue that consciousness plays
important causal roles in other functions, e.g. veto, comparisons and longer
term planning and behaviors.
[iii]
Some scientists and philosophers do consider finer-grained details. For
example Koch (2004) raises the issue of intra-cellular calcium ions in the
context of the neural correlate of consciousness, but maintains that axonal
spike are the primary medium. Chalmers (1996) points out that even if the
precise activity and state of every receptor, ion and molecule in the brain
were known, the cause of conscious experience would not be explained.
However I will argue that certain types of organized quantum processes in
the brain can account for conscious experience based on a Whiteheadian pan-protopsychist
philosophy tied to modern physics.
[iv]
The original motivation put forth by Penrose (1989, 1994) was based on
non-computability (i.e. non algorithmic processes) of human thoughts and
choices, as argued through Gödel’s theorem.
[v]
Or a single universal mind. See Squires (1998).
[vi]
Repetitive sub-cortical stimulation does cause a primary EP,
prolonged activity and conscious experience.
[vii]
Libet contended that the duration per se of the pulse train and DCR
was the critical factor in reaching threshold for consciousness, and that
the delay was useful for psychic modification. Freud and many others have
recognized that conscious experience may differ from raw sensory perception
(or be repressed entirely). The delay would permit such modification (e.g.
retrospective construction—Section IIc).
[viii]
Libet’s work has been extensively criticized. For example Pockett (2002),
Breitmeyer (2002), Pollen (2004) and others argued that some type of
facilitated buildup, or inhibition followed by excitation delayed the onset
of effective cortical activity
until late in the 500 msec, suggesting the delay in conscious experience was
artifactual. However Libet (2002, 2003) successfully rebutted these
contentions and defended his results and conclusions.
[ix]
Dennett describes two possible methods of disinformation the brain might
utilize in resolving temporal anomalies. The first is the Stalinesque
show trial, in which the brain modifies sensory information before it
reaches consciousness. For example in the color phi experiment the red spot
and the green spot are unconsciously perceived, and interstitial moving
spots which change midway are inserted before the sequence reaches
consciousness. In Orwellian
revisionism, both the red spot and green spot are consciously perceived,
but intervening movement and color change are inserted into the final draft
for memory. Dennett claims that because of the arbitrary timing in multiple
drafts, no distinction between the two methods need be made. However if the
time factor in consciousness is not arbitrary, Dennett’s choice of
retrospective construction becomes equivalent to Orwellian revisionism.
[x]
The actual contact of ball against racket or bat is rarely, if ever, seen. I
am referring to conscious recognition of the ball, its approach and
initiation of the stroke or swing.
[xi]
Gray (2004) suggests that consciousness serves a longer term review and
planning function, and Libet (2004) suggests a veto role for consciousness.
Thus consciousness would not be useless. But in terms of real-time executive
actions, consciousness would indeed be epiphenomenal.
[xii]
One could also say the quantum world is timeless, or has no flow of time.
[xiii]
The problem of qualia has been framed in the well known “knowledge
argument” put forth by philosopher Frank Jackson (1982). He described a
hypothetical color blind visual neuroscientist named Mary who knew all facts
related to color vision but had never experienced color. If Mary then
received a retinal transplant, or gene therapy or brain implant to gain
color vision, would she be acquiring new facts about color? If so, qualia
are facts and no different from information in a computer (as materialists
so argue). But quantum information/quanglement could modify the nonconscious
(non-qualia) facts/information about color in Mary’s brain to provide the
phenomenal experience of color while not conveying classical information.
Thus qualia as quanglement avoids causality violation and can defeat the
materialist interpretation of the knowledge argument.
[xiv]
There are unfortunate cases of intra-operative awareness. There can also be
implicit learning/memory during light anesthesia. Some authors have
conflated these two situations to suggest that anesthesia involves awareness
with amnesia, not loss of consciousness. Because consciousness is
unobservable there is no absolute resolution of this question. However there
is no reason to believe that intra-operative awareness occurs except during
rare instances due to inadequate anesthesia. Clinical signs of
pain/awareness (pupillary size, heart rate and blood pressure, lacrimation,
diaphoresis, mucus secretion, EEG power spectrum/40 Hz etc.) are used to
indicate adequate anesthesia and lack of consciousness.
[xv]
Some accounts include thalamo-cortical projections as part of the workspace,
and parietal cortex in the top-down influences. Also top-down influences
from pre-frontal or parietal cortex may may loop through thalamus
[xvi]
Apparently in two streams: Visual information is thought to flow from V1 in
both a ventral perception stream, and a
dorsal action stream (Ungerleider and Mishkin 1982, Milner and Goodale 1995)
[xvii]
Axonal sodium channels are activated by membrane voltage potentials and
modulated by intra-cellular cytoskeletal proteins (Isson 2002, Strege et al
2003). Sodium channels clustered at the axon hillock are connected to, and
regulated by proteins ankyrin and spectrin which link them to underlying
microtubules and other cytoskeletal proteins (Srinivasan et al 1988, Braun
et al 1993).
[xviii]
For example calcium-calmodulin protein kinase and protein kinase C.
[xix]
Crick and Koch subsequently retreated from this contention, maintaining that
40 Hz synchrony alone is insufficient for consciousness but may boost
assemblies of neurons (in competition with other assemblies) into
consciousness (Koch 2004).
[xx]
Anesthesia is also marked by an increase in slower bands and a marked
“anteriorization” of power. Additionally, prefrontal and frontal regions
of each hemisphere become more closely coupled. Uncoupling occurs between
anterior and posterior regions on each hemisphere, as well as homologous
regions between the two hemispheres (John
2001).
[xxi]
Ironically, prior to Santiago Ramon-y-Cajal’s (1909) determination that
the brain was composed of individual neural cells, Camille Golgi had
proposed that the brain was a syncytium—a threaded reticulum of fibers.
[xxii]
Personal communication from Roger Penrose.
[xxiii]
The skewed lattice symmetry matches the polarity. Thus in the “alpha
(positive) up” orientation the 3-start and 5-start helical windings go to
the left, and the 8-start helical windings go to the right. The intervals on
any protofilament between the tubulins on which the various windings repeat
match the mathematical Fibonacci series (Figures 8 and 9).
[xxiv]
Pharmacological studies suggest five possible ligand-induced
conformations. In addition to these dynamical states, more permanent
variability in tubulin within microtubules depends on genetics (22 different
tubulin isozymes in brain) and post-translational modification, addition or
removal of amino acids to specific tubulins. Thus intact MTs may be mosaics
of slightly different tubulins, allowing for a baseline memory or
programming upon which dynamical changes can occur.
[xxv] Other proposals include the following: Roth et al (1970, 1977) proposed that conformational gradients among tubulins created patterns which dictated function, Puck and Krystosek (1992) suggested that waves of phosphorylation/dephosphorylation along tubulins conveyed information, and Wang and Ingber (1994) described a tensegrity communication structure among MTs and actin filaments. Non-linear soliton waves along MTs have been proposed (Sataric et 1992, Chou et al 1994), and Cantiello et al (2000) suggested that ion transfer along actin conveyed functional signals (Tuszynski et al 2004). Tuszynski et al (1995) predicted MT ferroelectric effects and “spin glass” behavior, Albrecht-Buehler (1992, 1998) suggested MTs convey infra-red photons as the “nerves of the cell”, and Jibu et al (1994) proposed MTs as quantum optical waveguides. For a review of models of cytoskeletal information processing see Hameroff (1987) and Rasmussen et al (1990).
[xxvi]
in which
is the sum of the six neighbor dipole forces on each tubulin dimer, e
is the electron charge,
is the average permittivity for proteins, typically ten times the vacuum
permittivity, y is the vertical offset between (identical points in
each of the) dimer pairs, and r is the absolute distance between
(identical points in each of the) dimer pairs. We assumed that only the y-component
of the interaction forces is effective and neglected any net force around
the MT circumference. Absolute values of the forces may be found in
Rasmussen et al (1990).
[xxvii]
Essentially forming a Bose-Einstein condensate.
[xxviii]
Fröhlich pointed out that living systems should be sensitive to effects of
specific microwave frequencies, and indeed many such effects have been
reported. Vos et al (1992) showed coherent nuclear motions of membrane
proteins.
[xxix]
Using the Fröhlich oscillation time of 10-9 to 10-11
secs, gliders move one tubulin dimer length
(8 nm) per oscillation, hence 8 to 800 nanometers/nanosecond, or 8 to
800 m/sec. This is essentially the range of velocities for action
potentials.
[xxx]
Conventional approaches focus on synaptic switching (roughly 1011
brain neurons, 103 synapses/neuron, switching in the millisecond
range of 103 operations per second) and thus predict about 1017
bit states per second for a human brain. Nanosecond MT automata offer about
1027 brain operations per second for a human brain.
[xxxi]
The precise folding depends on attractive and repellent forces among
various amino acid side groups, and a current view is that many possible
intermediate conformations precede the final one. Predicting final
three-dimensional folded shape using computer simulation has proven
difficult if not impossible. This conundrum is known as the "protein
folding problem" and so far appears to be "NP complete": the
answer can be calculated in theory, but the space and time required of any
classical computer is prohibitive. Klein-Seetharaman et al (2002) showed
nonlocal interactions among non-polar groups in protein folding, suggesting
a form of quantum computation.
[xxxii]
Such as leucine, isoleucine, phenylalanine, tryptophan, tyrosine and valine.
[xxxiii]
Due to the Mossbauer effect (Brizhik et al 2001) electronic motions in
tubulin should be coupled to nuclear motions via a recoil phenomenon,
connecting protein conformation to London forces. The movement would be
slight due to the disparity in mass between single electrons and the mass of
protons—a one nanometer shift in location of a single electron would shift
the nuclear mass, and hence protein conformation, by only 10-8
nanometers. However such a shift per electron (thousands of electron London
forces per protein) would be significant if all nuclei were affected
collectively. The charge shift of a single electron, equal to a proton
charge, is even more likely to exert an effect on conformation (Conrad
1994). Roitberget al (1995) and Tejada et al (1996) also suggest quantum
states in proteins.
[xxxiv]
This is one form of the Copenhagen interpretation.
[xxxv]
Penrose brings in general relativity in which matter equates to
spacetime curvature. An object in any particular location is a specific
curvature in underlying spacetime geometry; the same object in a slightly
different location is curvature in a different (e.g. opposite direction).
Hence superposition (object in two places) implies a separation, bubble or
blister in fundamental spacetime geometry.
[xxxvi]
By E=ħ/t where E is the
gravitational self-energy, ħ is Planck’s constant over 2π, and t
is the time until OR occurs. E is the amount, or degree of superposition
given for superposition/separation at the level of atomic nuclei by
E=Gm2/ac
where G is the gravitational
constant, m is the superpositioned
mass, and ac is
the distance of separation, i.e. the diameter of a carbon nucleus equal to
2.5 fermi distances. See Hameroff and Penrose 1996a for details.
[xxxvii]
Linearly and deterministically according to the Schrödinger equation.
[xxxviii] Qubits may be manifest as switches which utilize superpositions of various quantum states including electron spins, photon polarization, ionic states, nuclear spin, magnetic flux in a Josephson junction superconducting loop, or “quantum dots”—confined spaces in which single electrons or atoms are mobile but can occupy only discrete sites. Many other possibilities for qubits have also been suggested including some which could be mass produced in silicon. Quantum computers remained largely theoretical curiosities until 1994. Bell Labs mathematician Peter Shor developed a quantum algorithm which would be capable of factoring large numbers into their primes exponentially faster than conventional computers, assuming a quantum computer could be built to run it. Factoring large numbers into primes is the basis for banking and military cryptography, and so governments and industry became extremely supportive of efforts to build quantum computers. A functional quantum computer would make all classically supported cryptography obsolete. The race was on. Subsequently other algorithms for quantum computers were developed which would provide exceedingly faster search capabilities. There is no doubt quantum computers will be revolutionary if technical obstacles to their construction and operation can be overcome.
[xxxix]
I equate nonconscious, unconscious ,subconscious and preconscious
processes as potentially capable of consciousness. That is, they utilize
both classical processes and quantum superposition. However there are
clearly brain processes that are almost exclusively nonconscious and utilize
classical processing. But in principle such processes could become
conscious. For example practitioners of certain types of yoga gain conscious
control over normally nonconscious processes such as intestinal peristalsis.
[xl]
According to neuroscientists Karl Lashley and Karl Pribram, memory is
holographic. Multiple overlapping homunculi in both the central and
peripheral nervous systems also suggest holography. Finally, there are
serious suggestions that the universe is holographic.
[xli]
Proteins may be optimally leveraged as qubits in terms of being 1) large
enough to exert causal efficacy in the macroscopic world, and 2) small
enough/delicately balanced to be regulated by quantum forces. In Hameroff
and Penrose 1996a the gravitational self-energy E was calculated for tubulin
superpositions at the level of 1) entire tubulin protein separation, 2)
separation at the level of atomic nuclei, and 3) separation at the level of
nucleons, i.e. protons and neutrons. The dominant effect is for separation
at the level of atomic nuclei, the Fermi length of 10-6 nm. The
eigenstates (differing possible classical positions) of such slight shifts
will be significant if they are collective for all nuclei in a protein,
tipping into basins of attraction upon reduction. Thus superposition of
conformations need involve only separation at the level of atomic nuclei.
The delicate balance of powerful countervailing forces determining protein
conformation lends itself to functioning as a qubit.
[xlii]
Centriole entanglemen, quantum optical photons, Bose-Einstein condensation.
[xliii]
The time
to decoherence due to the long range electromagnetic influence of an
environmental ion is
where T is the
temperature, m is the mass of the ionic species, a is the
distance from the ion to the position of the superposed state, N is
the number of elementary charges comprising that superposed state, and s
is the maximal separation between the positions of the tubulin mass in the
alternative geometries of the quantum superposition.
[xliv] The decohering effects of radiative scattering on microtubules is negligigible.
[xlv]
Testable predictions of the Orch OR model (Hameroff 1998a)
Major assumptions are in bold, specific predictions are numbered in lower case and pertinent supportive references are in parentheses.
Neuronal microtubules are
directly necessary for consciousness
1. Synaptic sensitivity and plasticity correlate with cytoskeletal architecture/activities in both presynaptic and postsynaptic neuronal cytoplasm. (Khuchua et al 2003, Kaech et al 2001, Matus et al 2000, O'Connell et al 1997) 2. Actions of psychoactive drugs including antidepressants involve neuronal microtubules. (Andrieux et al 2002)
3. Neuronal microtubulestabilizing/protecting drugs may prove useful in Alzheimer's disease, ischemia, and other conditions. (Iqbal and Grundke-Iqbal 2004)
4. Laser spectroscopy (e.g. Vos et al, 1993) will
demonstrate coherent gigaHz Frohlich excitations in microtubules.
(Preliminary work using surface plasmon resonance, see Lioubimov et
al 2004)
5. Dynamic vibrational states in microtubule networks correlate with cellular activity.
6. Stable patterns of
microtubule cytoskeletal networks (including neurofilaments) and intramicrotubule
diversity of tubulin states correlate with memory and neural behavior. (Khuchua
et al 2003, Woolf 1998, O'Connell
et al 1997)
7. Cortical
dendrites contain largely "A lattice" microtubules (compared to
"B lattice" microtubule, A lattice microtubules are preferable
for information processing
Microtubule quantum coherence requires isolation by cycles of surrounding actin gelation 11. Neuronal microtubules in cortical dendrites and other brain areas are intermittently surrounded by tightly cross-linked actin gels.(Glutamate binding to NMDA and AMPA receptors causes actin polymerization in dendritic spines: Fischer et al 2000)
12. Cycles of
gelation and dissolution in neuronal cytoplasm occur concomitantly with
membrane electrical activity (e.g. synchronized 40 Hz activities in
dendrites).
13. The sol gel cycles
surrounding microtubules are regulated by calcium ions released and
reabsorbed by calmodulin associated with microtubules.
Macroscopic
quantum coherence occurs among MT in hundreds/thousands of distributed
neurons and glia linked by gap junctions
14. Electrotonic gap
junctions link synchronously firing networks of cortical neurons, and
thalamocortical networks (Galaretta and Hestrin 1999, Gibson et al
1999, Tamas et al, 2000) 15. Quantum tunneling occurs
across gap junctions.
16. Quantum correlation
occurs between microtubule subunit states in different neurons connected by
gap junctions—the microtubule EPR experiment in different neurons
(Proposal by Andrew Duggins)
The amount of neural
tissue involved in a conscious event is inversely proportional to the event
time by E=ħ/t
17. The amount of neural
mass involved in a particular cognitive task or conscious event (as
measurable by near future advances in brain imaging techniques) is
inversely proportional to the preconscious time (e.g. visual perception,
reaction times).
An isolated, unperturbed
quantum system self collapses according to E=ħ/t
18. Isolated technological quantum superpositions will self-collapse according to E=ħ/t
(Marshall et
al 2003)
Microtubule based
cilia/centriole structures are quantum optical devices
19. Microtubule based
cilia in rods and cones directly detect visual photons and connect with
retinal glial cell microtubule via gap junctions.
A critical degree of
cytoskeletal assembly (coinciding with the onset of rudimentary
consciousness) had significant impact on the rate of evolution
20.
Fossil records and comparison with present day biology will show that
organisms which emerged during the early Cambrian period with onset roughly
540 million years ago had critical degrees of microtubulecytoskeletal
size, complexity and capability for quantum isolation (e.g. tight actin
gels, gap junctions; see Hameroff, 1998d).
[xlvi]
The same effect can account for tactile binding (we feel our foot strike the
ground, and refer the sensation backwards in time to match the visual input)
and the cutaneous rabbit (we feel the upper arm, elbow and wrist sensations
after the first tap and refer them to the appropriate spatial location). If
no elbow or upper arm sensations occur, no referral of the second and
subsequent wrist sensations occur.
[xlvii]
From either Platonic influences embedded at the Planck scale, entangled
quantum information from my opponent or an image from the near future such,
as him leaning the wrong way.
[xlviii]
One could say that free will involves the choice of whether or not to allow
oneself to be influenced by non-computable factors.
[xlix]
The quantum world is generally considered to be random, however EPR
entanglement demonstrates that order exists. Measurement and decoherence may
introduce randomness and indeterminacy avoidable through Penrose OR.
[l]
Proto-conscious qualia are presumed to exist in Planck scale geometry
everywhere, including the spacetime geometry within the brain. Because
spacetime at the Planck scale is nonlocal (e.g. as evidenced by entanglement
according to Penrose) the Planck scale configurations manifesting a
particular set of qualia would exist both in the external world and in the
brain. This is perhaps akin to the sensorimotor account of consciousness put
forth by O’Regan and Noe (2001).
[li] What about quantum superpositions in non-biological systems? Technological quantum computers presently use superpositions of qubits with low mass separation/low E (e.g. ions, electrons, or photons) and reduction occurs by measurement well before OR threshold could be met. Hence these systems will not be conscious by the criteria of Orch OR. However in principle, quantum computers using superpositions of larger mass qubits such as perhaps fullerene technology could reach threshold for OR and have conscious moments. Large scale quantum superpositions may exist naturally in the universe, for example in the cores of neutron stars, or the very early universe (Zizzi 2002), able to reach OR threshold quickly. Such OR events would presumably lack organized information and cognition (OR without Orch). But to be consistent with the Orch OR criteria, yes, they would be conscious/have conscious experience, perhaps as flashes of meaningless awareness. This issue is faced by any theory: are all emergent phenomena conscious? Are all information processing systems such as computers and thermostats conscious? Functionalists often obfuscate this issue by saying e.g. a thermostat is conscious in a thermostat-like way whereas humans are conscious in a human-like way, cats in a cat-like way etc.