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Hydrogen bonding carries information about solutes and surfaces over significant distances in liquid water. The effect is synergistic, directive and extensive. Thus, in the diagram opposite, strong hydrogen-bonding in molecule (1), caused by solutes or surfaces, will be transmitted to molecules 2 and 3, then to 5 and 6 and then as combined power to 8. The effect is reinforced by additional polarization effects and the resonant intermolecular transfer of O-H vibrational energy, mediated by dipole-dipole interactions and the hydrogen bonds . Reorientation of one molecule induces corresponding motions in the neighbors. Thus solute molecules can 'sense' (for example, affect each other's solubility) each other at distances of several nanometers and surfaces may have effects extending to tens of nanometers. This long range correlation of molecular orientation has recently been confirmed using hyper-Rayleigh light scattering  and is a reason for the high dielectric constant of water and the consequential reduction in this dielectric constant as the temperature is raised and the number of hydrogen bonds is reduced .
(water) molecules can 'sense' ... each other at distances of several nanometers and surfaces may have effects extending to tens of nanometers
One variable that is overlooked in the brain is the impact of water.
"I believe consciousness is a type of trans-Turing computation (hypercomputation)"
I believe quite the contrary: the qualia (the aware percept itself, or that which is 'mental' in/about our mind) is of a completely different nature from a computation or from what we currently call 'physical' .I find it hard to believe quantum mechanics is not directly involved in consciousness.
I propose quantum brain dynamics are required for consciousness to exist as a "hypercomputation" - a coherent energy transfer inside neurons during synaptic exocytosis.
And how mental qualities, i.e. the redness of red, the subjective character of the experience, that 'is-ness' character of an aware percept, arises from a computation or from a quantum energy transfer?
From a computation to a qualia (or a mental quality) I see a fundamental disconnect as if they are of a fundamental different essence. Hyper or not hyper a computation can be understood in terms of mechanical steps using a recursion Then why aren't we machines without minds or zombies?
As far as I know a quantum computation is simply a Turing computation on a massively parallel scale. There is nothing in principle different in a quantum computer from a classical one except that a quantum computer can be thought as containing very many classical computers working in parallel ; that is all, no extra miracle here; there is no magic in quantum computations.Let's say one can solve an exponential problem in polynomial time with a quantum algorithm. How this generate an aware percept, the redness of red, the qualia?
I think quantum coherence induce synaptic exocytosis: Coherent quantum vibrations in microtubulesgenerates consciousness inside neurons.
The non-locality of conscious experience generates neuronal entropy.
A hypercomputation or trans-Turing computation can process non-computable conscious experience at the quantum level: In essence, the brain hypercomputation capacity is beyond artificial intelligence!
But the original question remain untouched: How something like a subjective experience arises from an objectively observable physical process. Changing the scale won't help; the hard question stubbornly persists. You are using concepts like "quanum cohenece, quantum vibrations, etc'. These physical processes do not explain consciousness any more or any less than the classical processes of neuronal network working. Actually in the classical working of NN we can have an understanding of a circuitry and something mechanistic to work with, but in "statement like quantum coherence explain consciousness" there is NOTHING explanatory how that actually happen.
What do you mean by 'non-locality'. Such statements at best hide the original problem with unclear wording.For your information: Science used to work quite the opposite: it starts from crystal clear and unambiguous operational definition of the concepts.
QuoteA hypercomputation or trans-Turing computation can process non-computable conscious experience at the quantum level: In essence, the brain hypercomputation capacity is beyond artificial intelligence! Nonsense. I can only ask myself: Is an understanding of statements like above even possible?===To me a more honest answer, is that QM may be involved in the working of the brain in 2 ways: i) efficient energy transport and ii) quantum computations, none of which explain how mental side arises and none of which was proven experimentally. HOWEVER, currently there is no scientific understanding how QM (or any other physical process) could possible generate the inner experience (or mental-like qualities).
It is unclear to me if there is any reason whatsoever to use the word 'non-locality' in the context of a rational discussion about consciousness....
While QM may appear to address some of the issues of "free will" which are not easily explained by purely classical mechanics, I don't see how it explains "experience"
The brain isn't a computer; it's a *feeling* machine. The likelihood of a neutron firing has more to do with the ambient chemo-electric field than a particular tunnelling event, i would suggest.
Biological systems are beyond classical hypercomputation:
Why assert the ground of biological hyper-computation before you've considered the possibility of meaningful communication by prophetic vision?