viernes, 28 de agosto de 2009

Quantum mind (wikipedia)

Más allá de las discusiones sobre la fundamentación cuántica del cerebro y sus neuronas (ahí se "enraizan" y desde ahí abrazan literalmente todo el cuerpo...), lo que va apareciendo muy clara-mente es la negación de la sensorialidad humana...

En otra entrada comentamos información sobre los (no-cuánticos) de los sistemas sensoriales, de ahí la necesidad y oportunidad de encajar explicaciones e implicaciones cuánticas en la percepción.
Claro está, la inercia histórica hace que hablen del cerebro y tal, pero parezca que no quieran mezclar mucho el tema con la sensorialidad.

Ahora resulta que se va destapando la complejidad de los sistemas sensoriales. Una de las razones por las que se han dejado de lado en estos tiempos de investigaciones tan punteras...

Pero está claro que en eso también ha intervenido la negación histórica de la sensualidad por parte de nuestra cultura...

Y seguro que la falta de investigaciones profundas en los sistemas sensoriales tiene mucho que ver con la falta de intuiciones al respecto. Y esta falta de intuiciones al respecto de los sistemas sensoriales, es indudablemente derivada de la negación cultural (bio-cultural) de la sensorialidad (o de su importancia) en nuestra cultura.

Curiosamente (libro: educación para los sentidos, siglo xix) hasta el siglo XIX se admitía que las funciones sensoriales correspondían al ALMA!!!

¡Cuanto hemos cambiado en tan poco tiempo! hemos ido dejando el alma, en su sentido religioso esotérico, y con ella hemos terminado por divorciarnos de nuestra sensorialidad.

Al mismo tiempo ese espacio se ha ido ocupando con la sensiblería de los sentimientos, de forma que en gugel la mayoría de las veces que usted encuentra la palabra "sentido" o "sentir", la va usted a ver relacionada con la psicología, las emociones...en vez de referidas a su función primaria y básica, es decir, el caudal de sensaciones físicas, sensoriales, sentidas cada instante de su vida, pero que al igual que GAYA, (o precisamente con la negación de GAYA) se precipitaron al kurríkulum oculto en esta cultura...

Y es ahorita recién, cuando nuestra alimentación multicultural y la revolución científica de este siglo, se funden maduradas para por fín traer a colación la importancia de la sensorialidad en nuestras vidas y en todos los procesos involucrados...

Quantum mind

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Quantum mind theories are based on the premise that quantum mechanics is necessary to fully understand the mind and brain, particularly concerning an explanation of consciousness. This approach is considered a minority opinion in science, although it does have the support of the well-known Roger Penrose, who has proposed a quantum mind theory in conjunction with Stuart Hameroff. Karl H. Pribram and Henry Stapp have also proposed variations.

[edit] Introduction

The quantum mind hypothesis proposes that classical mechanics cannot fully explain consciousness and suggests that quantum mechanical phenomena such as quantum entanglement and superposition may play an important part in the brain's function and could form the basis of an explanation of consciousness.

Supporters of the quantum mind hypothesis have not submitted any evidence to support its claims for peer review, but the hypothesis has also not been falsified. As such, the hypothesis is still in its early phases.

[edit] Motivation

[edit] Consciousness Banished

A common argument underlying the quantum mind thesis is that classical mechanics cannot explain consciousness, if only because Galileo and Newton (together with later thinkers, viz.: Locke, Hobbes and Descartes) excluded the secondary qualities from the physical world^{[citation needed]}.

Fritjof Capra writes:

To make it possible for scientists to describe nature mathematically, Galileo postulated that they should restrict themselves to studying the essential properties of material bodies—shapes, numbers, and movement—which could be measured and quantified. Other properties, like color, sound, taste, or smell, were merely subjective mental projections which should be excluded from the domain of science. ^[1]

Proponents of the Quantum mind state that perceived qualities such as sound, taste and smell are an essential part of the human experience and therefore cannot be discounted. They posit that classical mechanics fails to account for the experience of such phenomena. Similarly, they hypothesize that the internal experiences of consciousness, such as dreaming and memory, all of which are 'part and parcel' of everyday human experience remain unaccounted for.

[edit] Minimization of Mystery

Philosopher David Chalmers states that the motivation for Quantum Mind theories is: "a Law of Minimization of Mystery: consciousness is mysterious and quantum mechanics is mysterious, so maybe the two mysteries have a common source. Nevertheless, quantum theories of consciousness suffer from the same difficulties as neural or computational theories." ^[2]

[edit] Examples of theories

[edit] David Bohm

David Bohm took the view that quantum theory and relativity contradicted one another, and that this contradiction implied that there existed a more fundamental level in the physical universe^[3]^{[dead link]}. He claimed that both quantum theory and relativity pointed towards this deeper theory. This more fundamental level was supposed to represent an undivided wholeness and an implicate order, from which arose the explicate order of the universe as we experience it.

Bohm's implicate order applies both to matter and consciousness, and he proposed that it could explain the relationship between them. Mind and matter are here seen as projections into our explicate order from the underlying reality of the implicate order. Bohm claims that when we look at the matter in space, we can see nothing in these concepts that helps us to understand consciousness.

In Bohm's scheme there is a fundamental level where consciousness is not distinct from matter. Bohm's view of consciousness is connected to Karl Pribram's holographic conception of the brain ^[4]^[5]^{[dead link]}. Pribram regards sight and the other senses as lenses without which the other senses would appear as a hologram. Pribram proposes that information is recorded all over the brain, and that it is enfolded into a whole, similar to a hologram. It is suggested that memories are connected by association and manipulated by logical thought. If the brain is also receiving sensory input all these are proposed to unite in overall experience or consciousness.

In trying to describe the nature of consciousness, Bohm discusses the experience of listening to music. He thinks that the feeling of movement and change that make up our experience of music derives from both the immediate past and the present being held in the brain together, with the notes from the past seen as transformations rather than memories. The notes that were implicate in the immediate past are seen as becoming explicate in the present. Bohm compares this to consciousness emerging from the implicate order.

Bohm sees the movement, change or flow and also the coherence of experiences such as listening to music as a manifestation of the implicate order. He claims to derive evidence for this from the work of Piaget^[6] in studying infants. He claims that these studies show that young children have to learn about time and space, because they are part of the explicate order, but have a 'hard-wired' understanding of movement because it is part of the implicate order. He compares this 'hard-wiring' to Chomsky's theory that grammar is 'hard-wired' into young human brains. In his writings, Bohm never proposed any specific brain mechanism by which his implicate order could emerge in a way that was relevant to consciousness.

[edit] Gustav Bernroider

Recent papers by physicist, Gustav Bernroider, have indicated that he thinks that Bohm's implicate-explicate structure can account for the relationship between neural processes and consciousness^[7]. In a paper published in 2005 Bernroider elaborated his proposals for the physical basis of this process^[8]. The main thrust of his paper was the argument that quantum coherence may be sustained in ion channels for long enough to be relevant for neural processes and the channels could be entangled with surrounding lipids and proteins and with other channels in the same membrane. Ion channels regulate the electrical potential across the axon membrane and thus play a central role in the brain's information processing.

Bernroider bases his work on recent studies of the potassium (K⁺)ion channel in its closed state and draws particularly on the atomic-level spectroscopy work of the MacKinnon group ^[9]^[10]^[11]^[12]^[13]. The ion channels have a filter region which allows in K⁺ ions and bars other ions. These studies show that the filter region has a framework of five sets of four oxygen atoms, which are part of the carboxyl group of amino-acid molecules in the surrounding protein. These are referred to as binding pockets. Two K+ ions are trapped in the selection filter of the closed ion channel. Each of these ions is electrostatically bound to two sets of oxygen atoms or binding pockets, involving eight oxygen atoms in total. Both ions in the channel oscillate between two configurations.

Bernroider uses this recently revealed structure to speculate about the possibility of quantum coherence in the ion channels. Bernroider and co-author Sisir Roy's calculations suggested to them that the behaviour of the ions in the K channel could only be understood at the quantum level. Taking this as their starting point, they then ask whether the structure of the ion channel can be related to logic states. Further calculations lead them to suggest that the K⁺ ions and the oxygen atoms of the binding pockets are two quantum-entangled sub-systems, which they then equate to a quantum computational mapping. The ions that are destined to be expelled from the channel are proposed to encode information about the state of the oxygen atoms. It is further proposed the separate ion channels could be quantum entangled with one another.

[edit] David Chalmers

The philosopher David Chalmers has speculated on a number of ways in which quantum mechanics might relate to consciousness.

One possibility is that instead of postulating novel properties, physics might end up appealing to consciousness itself, in the way that some theorists but not all, hold that quantum mechanics does. ^[14]

The collapse dynamics leaves a door wide open for an interactionist interpretation. ^[15]

The most promising version of such an interpretation allows conscious states to be correlated with the total quantum state of a system, with the extra constraint that conscious states (unlike physical states) can never be superposed. In a conscious physical system such as a brain, the physical and phenomenal states of the system will be correlated in a (nonsuperposed) quantum state. Upon observation of a superposed external system, Schrödinger evolution at the moment of observation would cause the observed system to become correlated with the brain, yielding a resulting superposition of brain states and so (by psychophysical correlation) a superposition of conscious states. But such a superposition cannot occur, so one of the potential resulting conscious states is somehow selected (presumably by a nondeterministic dynamic principle at the phenomenal level). The result is that (by psychophysical correlation) a definite brain state and a definite state of the observed object are also selected. ^[16]

If physics is supposed to rule out interactionism, then careful attention to the detail of physical theory is required. ^[17]

[edit] Roger Penrose

In The Emperor's New Mind and Shadows of the Mind, Penrose argues that

1. Humans have abilities, particularly mathematical ones, that no algorithmic computer (specifically Turing machine) could have, because computers are limited by Gödel's incompleteness theorem. In other words, he believes humans are hypercomputers. (The argument was originally due to John Lucas.)

Gödel demonstrated that with any recursively enumerable set of axioms capable of expressing Peano arithmetic, it was possible to produce a statement that was obviously true, but could not be proved by the axioms. The theorem enjoys general acceptance in the mathematical community^[18].

Penrose, however, built a further and highly controversial argument on this theorem. He argued that the theorem showed that the brain had the ability to go beyond what can be demonstrated by mathematical axioms, and therefore there is something within the functioning of the brain that is not based on an algorithm (a system of calculations). A computer is just a system of algorithms, and Penrose claimed that Gödel's theorem demonstrated that brains could perform functions that no computer could perform.

Penrose is not interested in explaining phenomenal consciousness, qualia, generally regarded as the most mysterious feature of consciousness, but instead focuses mainly on the cognitive powers of mathematicians.

These assertions have been vigorously contested by many critics and notably by the philosophers Churchland and Grush^[19]^[20]. The theory has been much criticised ^[21] ^[22] ^[23].

2. This would require some new physics. Penrose postulates that the currently unknown process underlying quantum collapse supplies the non-algorithmic element.

The random choice of, for instance, the position of a particle, which is involved in the collapse of the wave function was the only physical process that Penrose could find, which was not based on an algorithm. However, randomness was not a promising basis for the quality of mathematical judgement highlighted by his Gödel theorem argument.

But Penrose went on to propose that when the wave function did not collapse as a result of a measurement or decoherence in the environment, there could be an alternative form of wave function collapse, which he called objective reduction (OR). In this, each quantum superposition has its own space time geometry. When these become separated by more than the Planck length, they are affected by gravity, become unstable and collapse. OR is strikingly different both from the traditional orthodoxy of Niels Bohr's Copenhagen interpretation of quantum theory and from some more modern theories which avoid wave function collapse altogether such as Many-worlds interpretation or some forms of Quantum decoherence theory.

Penrose further proposes that OR is neither random nor governed by an algorithm, but is 'non-computational', selecting information embedded in the fundamental level of space time geometry.

3. Collapse requires a coherent superposed state to work on. Penrose borrows Stuart Hameroff's proposal about microtubules to supply this.

Initially, Penrose had lacked any detailed proposals for how OR could occur in the brain. Later on cooperation with Stuart Hameroff ^[24] supplied this side of the theory. Microtubules were central to Hameroff's proposals. These are the core element of the cytoskeleton, which provides a supportive structure and performs various functions in body cells. In additions to these functions, it was now proposed that the microtubules could support macroscopic quantum features known as Bose-Einstein condensates. It was also suggested that these condensates could link with other neurons via gap junctions. This is claimed to permit quantum coherence to extend over a large area of the brain. It is suggested that when one of these areas of quantum coherence collapses, there is an instance of consciousness, and the brain has access to a non-computational process embedded in the fundamental level of space time geometry.

At the same time, it was postulated that conventional synaptic activity influences and is influenced by the activity in the microtubules. This part of the process is referred to as 'orchestration' hence the theory is called Orchestrated Objective Reduction or more commonly Orch OR.

Hameroff's proposals like those of Penrose attracted much criticism. However the most cogent attack on Orch OR and quantum mind theories in general was the view that conditions in the brain would lead to any quantum coherence decohering too quickly for it to be relevant to neural processes. This general criticism is discussed in the Science section below.

[edit] Evan Harris Walker

Information theory is concerned with the capacity to contain or carry information. Is there such a thing as a conscious field and a conscious channel capacity?

Information theory is concerned with the measurement of information in terms of logarithmic probability—how many bits of information does it take to represent a certain type of information such as, let’s say, the letter “T” in print. Since we don’t know all the possible permutations or “combinations” of such a question we use statistical probability in order to be very accurate in our measurements. We add up all the logarithmic contributions of each possible symbol being measured in terms of its chance of occurrence. It is expressed as log₂P. This gives us an informational field potential.

A physicist, Evan Harris Walker developed a scientific theory about how the brain might, at quantum levels, process information. In his book, The Physics of Consciousness, he adds log₂P to Schrödinger’s equation. What he demonstrates mathematically is that when information is measured by consciousness and will channel capacities in terms of a closed loop, it forces one real solution only when one probable state happens and all other possible states disappear. He offers/proposes physical evidence that this process is occurring in the brain.

[edit] Henry Stapp

Physically, Henry Stapp's approach is aligned with objective collapse theory, in that the deterministic evolution of the wave function, and its indeterministic collapse are seen as two real and ontologically distinct phenomena. Collapse events occurring within the brain — the mind's observation or measurement of the brain — are particularly important. Since Stapp sees collapse as a mental process and the deterministic evolution of brain states as physical, his approach is philosophically aligned with interactionist dualism. The process by which collapse selects an actuality from a set of possibilities is seen by Stapp as literally a process of choice, and not merely a random dice-throw. His approach has implications with regard to time. Since the future depends on decisions in the present, it is not pre-existing, as in the block universe theory; rather there is an evolving universe in which subjects participate, as in Whitehead's metaphysics. ^[25]

Stapp envisages consciousness as exercising top-level control over neural excitation in the brain. Quantum brain events are suggested to occur at the whole brain level, and are seen as being selected from the large-scale excitation of the brain. The neural excitations are viewed as a code, and each conscious experience as a selection from this code. The brain, in this theory, is proposed to be a self-programming computer with a self-sustaining input from memory, which is itself a code derived from previous experience. This process results in a number of probabilities from which consciousness has to select. The conscious act is a selection of a piece of top-level code, which then exercises ongoing control over the flow of neural excitation. This process refers to the top levels of brain activity involved with information gathering, planning and the monitoring of the execution of plans. Conscious events are proposed to be capable of grasping a whole pattern of activity, thus accounting for the unity of consciousness, and providing a solution to the 'binding problem'.

Stapp's version of the conscious brain is proposed to be a system that is internally determined in a way that cannot be represented outside the system, whereas for the rest of the physical universe an external representation plus a knowledge of the laws of physics allows an accurate prediction of future events.

Stapp proposes that the proof of his theory requires the identification of the neurons that provide the top-level code and also the process by which memory is turned into additional top-level code.

[edit] Quantum Brain Dynamics

The ideas behind QBD derived originally from the physicists, Hiroomi Umezawa^[26], and Herbert Frohlich^[27] in the 1960s. In recent decades these ideas have been elaborated and given greater prominence by younger physicists such as Mari Jibu^[28], Kunio Yasue^[29] and Giuseppe Vitiello^[30]. In quantum brain dynamics (QBD), the electrical dipoles of the water molecules that constitute 70% of the brain are proposed to constitute a quantum field, known here as the cortical field. The quanta of this field are described as corticons. In the theory, this field interacts with quantum coherent waves generated by biomolecules in the neurons and propagating along the neuronal network.

Frohlich is the source of the idea that quantum coherent waves could be generated in the neuronal network. Frohlich argued that it was not clear how order could be sustained in living systems given the disruptive influence of the fluctuations in biochemical processes. He viewed the electric potential across the neuron membrane as the observable feature of some form of underlying quantum order. His studies claimed to show that with an oscillating charge in a thermal bath, large numbers of quanta may condense into a single state known as a Bose condensate. This state allows long-range correlation amongst the dipoles involved. Further to this, biomolecules were proposed to line up along actin filaments (part of the cytoskeleton) and dipole oscillations propagate along the filaments as quantum coherent waves. This now has some experimental support in the form of confirmation that biomolecules with high electric dipole moment have been shown to have a periodic oscillation^[31]. Vitiello also argues that the ordered chains of chemical reactions on which biological tissues depend would collapse without some form of quantum ordering, which in QBD is described by quantum field theory rather than quantum mechanics.

Vitiello provides citations, which are claimed to support his view of biological tissue. These include studies of radiation effect on cell growth^[32],response to external stimuli^[33], non-linear tunnelling^[34],coherent nuclear motion in membrane proteins^[35],optical coherence in biological systems^[36], energy transfer via solitons and coherent excitations^[37].

QBD proposes that the cortical field not only interacts with, but also to a good extent controls the neuronal network. It suggests that biomolecular waves propagate along the actin filaments in the area of the cell membranes and dendritic spines. The waves derive energy from ATP molecules stored in the cell membrane and control the ion channels, which in turn regulate the flow of signals to the synapses. Vitiello claims that QBD does not require quantum oscillations to last as long as the actual time to decoherence.

The proponents of QBD differ somewhat as the exact way in which it produces consciousness. Jibu and Yasue think that the interaction between the energy quanta of the cortical field and the biomolecular waves of the neuronal network, particularly the dendritic part of the network, is what produces consciousness. On the other hand, Vitiello thinks that the quantum states involved in QBD produce two poles, a subjective representation of the external world and a self. This self opens itself to the representation of the external world. Consciousness is, in this theory, not in either the self or the external representation, but between the two in the opening of one to the other.

[edit] Quantum Evidence

Concerning the question where quantum events could be effective in the complex cortical structure and brain dynamics, it is outlined that professors Friedrich Beck and John C. Eccles developed a model for quantal emission process at the synaptic cleft with reasonable results. These authors also discussed in detail the problem of elementary microscopic processes in protein complexes able to survive thermal fluctuations. Quantum evidence was also reached by the physicist Evan Harris Walker. Under the mental-psychological profile, in years from 2003 to 2009, the professors Elio Conte, Andrei Yuri Khrennikov, Orlando Todarello, Antonio Federici, Joseph P. Zbilut, have performed a number of experiments reaching evidence on possible existence of quantum interference effects on mental states during human perception and cognition of ambiguous figures. See further reading^{[13, 14, 15, 16]}. These authors have also realized theoretical contributions on the analysis of quantum interference effects in mental states, and on time dynamics of cognitive entities^{[13, 14, 15, 16]}.

Physicists at the University of California, Berkeley believe they have discovered that green plants perform quantum computation in order to capture the sun's light through photosynthesis—evidence of quantum coherence in a living system.^[38] Stuart Hameroff noted, in October 2000, that quantum coherence—although, by its mere occurrence in the brain not sufficient to prove its supposed central role in consciousness—had nevertheless been observed. This, he claimed, was significant because so much of the criticism of his model had "come under sharp criticism due to the issue of decoherence, and the question of whether quantum processes of significance can exist in the brain at physiological temperature." (Quantum Mind archives, October 2000 - (11.))

[edit] Ongoing Debate

[edit] Science

The main argument against the quantum mind proposition is that the structures of the brain are much too large for quantum effects to be important. It is impossible for coherent quantum states to form for very long in the brain and impossible for them to exist at scales on the order of the size of neurons. Price, for example, says that quantum effects rarely or never affect human decisions and that classical physics determines the behaviour of Neurons.

In quantum terms each neuron is an essentially classical object. Consequently quantum noise in the brain is at such a low level that it probably doesn't often alter, except very rarely, the critical mechanistic behaviour of sufficient neurons to cause a decision to be different than we might otherwise expect. (...)

—Michael Clive Price[1]

This does not imply that classical mechanics can explain consciousness, but that quantum effects including superposition and entanglement are insignificant.

One well-known critic of the quantum mind is Max Tegmark. Based on his calculations, Tegmark concluded that quantum systems in the brain decohere quickly and cannot control brain function, "This conclusion disagrees with suggestions by Penrose and others that the brain acts as a quantum computer, and that quantum coherence is related to consciousness in a fundamental way"^[39]

Proponents of quantum consciousness theories have sought to defend them against Tegmark's criticism. In respect of QBD, Vitiello has argued that Tegmark's work applies to theories based on quantum mechanics but not to those such as QBD that are based on quantum field theory. In respect of Penrose and Hameroff's Orch OR theory, Hameroff along with Hagan and Tuszynski replied to Tegmark^[40]. They claimed that Tegmark based his calculations on a model that was different from Orch OR. It is argued that in the Orch OR model the microtubules are shielded from decoherence by ordered water. Energy pumping as a result of thermal disequilibrium, Debye layer screening and quantum error correction, deriving from the geometry of the microtubule lattice are also proposed as possible sources of shielding. Similarly, in his extension of Bohm's ideas, Bernroider has claimed that the binding pockets in the ion selection filters could protect against decoherence^[41]. So far, however, there has been no experimental confirmation of the ability of the features mentioned above to protect against decoherence.

[edit] Philosophy

Another line of criticism is that no physical theory is well suited to explaining consciousness, particularly in its most problematical form, phenomenal consciousness or qualia, known as the hard problem of consciousness.^[42] It is not so much that colours and tastes and feelings—qualia or secondary qualities—have been deliberately banished, but more that they cannot be captured in any mathematical description, which means they cannot be explicitly represented in physics, since all physical theory is expressed in mathematical language (as explained in Eugene Wigner's famous paper The Unreasonable Effectiveness of Mathematics in the Natural Sciences). If no physical theory can express qualia, no physical theory can fully explain consciousness. Replacing the mathematical apparatus of classical physics with the mathematical apparatus of quantum mechanics is therefore of no help in understanding consciousness, and indeed there is no known example of a quantum equation which encapsulates a taste or colour.

As David Chalmers puts it:

Nevertheless, quantum theories of consciousness suffer from the same difficulties as neural or computational theories. Quantum phenomena have some remarkable functional properties, such as nondeterminism and nonlocality. It is natural to speculate that these properties may play some role in the explanation of cognitive functions, such as random choice and the integration of information, and this hypothesis cannot be ruled out a priori. But when it comes to the explanation of experience, quantum processes are in the same boat as any other. The question of why these processes should give rise to experience is entirely unanswered. ^[2]

Other philosophers, such as Patricia and Paul Churchland and Daniel Dennett^[43] reject the idea that there is anything puzzling about consciousness in the first place.

[edit] See also

Bohm interpretation of quantum mechanics
Consciousness causes collapse interpretation of quantum mechanics
Electromagnetic theories of consciousness
Evolutionary neuroscience
Hard problem of consciousness
Holonomic brain theory
Mechanism (philosophy)
Roger Penrose's Quantum Mind theory
Quantum brain dynamics
Theory of mind

[edit] Notes

[edit] References

Bohm, D.(1980) - Wholeness and the Implicate Order - John Benjamins [2]
Pribram, K.(1991) - Brain and Perception -Lawrence Erlbaum - [3]
Pribram, K.(1999) - Brain and the composition of conscious experience - Journal of Consciousness Studies,6,(5), pp.12-18 [4]
Piaget, J.(1956) - The Origin of Intelligence in the Child - Routledge & Kegan Paul [5]
Bernroider, G.(2003) - Quantum neurodynamics and the relation to conscious experience - Neuroquantology, 2, pp.163-8 [6]
Bernroider, G.& Roy, S.(2005) - Quantum entanglement of K ions, multiple channel states and the role of noise in the brain - SPIE Vol. 5841-29, pp.205-14 [7]
Jiang, Y.,MacKinnon,R.et al. (2003) - X-ray structure of a voltage dependent K⁺ channel - Nature,423,pp.33-41 [8]
Jiang, Y.MacKinnon,R. et al. (2003) - The principle of gating charge movement in a voltage dependent K+ channel - Nature 423,pp.42-8 [9]
Zhou, Y.,Morais-Cabral, A.,Kaufman, A.& MacKinnon,R.(2001) - Chemistry of ion coordination and hydration revealed in in K+ channel-Fab complex at 2.0 A resolution - Nature,414,pp.43-8 [10]
Morais-Cabral, H.,Zhou, H.& MacKinnon,R.(2001) - Energetic optimisation of ion conduction rates by the K⁺ selectivity filter - Nature,414,pp.37-42 [11]
Doyle, D.,MacKinnon,R.et al. (1998) - The structure of the potassium channel: Molecular basis of K+ conduction and selectivity - Science,280,pp.69-76 [12]
Ricciardi, L.& Umezawa, H.(1967) - Kybernetik,4,pp.44-48 [13]
Frohlich, H. (1968) - Long range coherence and energy storage in biological systems - International Journal of Quantum Chemistry,2,pp.641-649 [14]
Jibu, M.& Yasue, K (1995) - Quantum Brain Dynamics and Consciousness:Advances in Consciousness Research - John Benjamins
Vitiello, G. (2001) - My Double Unveiled; Advances in Consciousness - John Benjamins [15]
Gray, C.& Singer, W.(1989) - Stimulus specific neuronal oscillations in orientation of cat visual cortex - Proceedings of the National Academy of Science,86,pp.1698-1702 [16]
Grundler & Kaiser (1992) - Experimental evidence for coherent excitations correlated with cell growth - Nanobiology,1,pp.163-176
Kaiser, F. (1988) - Theory of non-linear excitations - In: Frohlich, H. Ed., Biological coherence and response to external stimuli, p.25-48 - Springer Verlag
Huth et al. (1984) - Nonlinear tunneling barrier at high frequencies and their possible logic processing function in biological membranes - In: Adey, R.& Lawrence, A. Eds., Non-linear dynamics in biological systems, pp.227-241 - Plenum
Vos M. et al. (1993) - Visualisation of coherent nuclear motion in a membrane protein by femtosecond spectroscopy - Nature,363,pp.320-335 [17]
Li, K.et al. (1983) - Indications of optical coherence in biological systems - In: Frohlich, H.& Kremer, F. Eds, Coherent excitations in biological systems, pp.117-22 - Springer Verlag
Huth, G.,Gutmann, F.& Vitiello, G.(1989) - The lifetime of coherent excitations - Phys. Lett, A 154,pp.339-42 [18]
Hagan, S.,Hameroff, S.& Tuszynski, J.(2002) - Quantum computation in brain microtubules? Decoherence and biological feasibility - Physical Reviews, E65: 061901 [19]
Nagel, E.& Newman, J. (1958) - Godel's Proof - Routledge
Grush, R.& Churchland, P. (1995) - Gap's in Penrose's Toilings - Journal of Consciousness Studies, 2,(1), pp.10-29 [20]
Churchland, P. (1996) - The Hornswoggle Problem - Journal of Consciousness Studies,3,Nos5-6,pp.218-20 [21]
Hameroff, S. (1987) - Ultimate Computing - Elsevier [22]

[edit] Further reading

Bennett, Charles H., Shor, Peter W., Smolin, John A. and Thapliyal, Ashish V. Entanglement-Assisted Classical Capacity of Noisy Quantum Channels, Phys. Rev. Lett. 83, 3081–3084 (1999). [23]
Conte, Elio, Todarello, Orlando, Federici, Antonio, Vitiello, Francesco, Lopane, Michele, Khrennikov, Andrei and Joseph P. Zbilut: Some remarks on an experiment suggesting quantum-like behavior of cognitive entities and formulation of an abstract quantum mechanical formalism to describe cognitive entity and its dynamics. Chaos, Solitons and Fractals 31 (2007) 1076-1088 [24]
Conte Elio, Khrennikov Yuri Andrei, Todarello Orlando,Federici Antonio, Zbilut Joseph P.: Mental States Follow Quantum Mechanics during Perception and Cognition of Ambiguous Figures. Open Systems & Information Dynamics, (2009),Vol.16, No.1,1-17; available on line PhilPapers,[25].
Conte Elio, Khrennikov Yuri, Todarello Orlando, Federici Antonio, Zbilut Joseph P: On the Existence of Quantum Wave Function and Quantum Interference Effects in Mental States: An Experimental Confirmation during Perception and Cognition in Humans. NeuroQuantology, (2009), First issue 2009 - available on line.[26]
Conte Elio: Exploration of Biological Function by Quantum Mechanics. Proceedings 10th International Congress on Cybernetics, 1983;16-23, Namur-Belgique.
Conte Elio: Testing Quantum Consciousness. NeuroQuantology (2008); 6 (2): 126-139.[27]
Conte Elio, Khrennikov Yuri Andrei, Todarello Orlando, Federici Antonio, Zbilut Joseph P.: A Preliminary Experimental Verification On the Possibility of Bell Inequality Violation in Mental States. NeuroQuantology, (2008); 6 (3): 214-221.[28]
Khrennikov Yuri Andrei: Quantum-like brain: Interference of minds. BioSystems 84, 225-241 (2006). [29]
Khrennikov Yuri Andrei: Information Dynamics in Cognitive, Psychological and Anomalous Phenomena. ser. Fundamental Theories of Physics, Kluwer Academic, 2004.
Conte Elio, Todarello Orlando, Federici Antonio, Zbilut Joseph P.: Mind States follow Quantum Mechanics during Perception and Cognition of Ambiguous Figures: a Final Experimental Confirmation. arXiv:0802.1835 [30]
Flanagan, Brian. Are Perceptual Fields Quantum Fields? [31]
Hodgson, David. The Mind Matters. Oxford University Press, 1993.
Koch, C. and Hepp, K., Quantum mechanics in the brain, Nature 440, 611 (30 March 2006)
Litt et al., Is the Brain a Quantum Computer?, Cognitive Science (2006) [32]
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McFadden, Johnjoe (2000) Quantum Evolution HarperCollins. ISBN 0-00-255948-X; ISBN 0-00-655128-9 . Final chapter on the quantum mind.
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