symmetry action manifold
field
field
Who sees variety and not the Unity,
wanders from death to death. (Upanishads)

vision light spectra

't Hooft, Saunders, Dyson, Maxwell, Pribram, Umezawa, Chalmers, Feynman, Green, Bohm, Hume, EPR

 
't Hooft



Saunders





Salam








Dyson

Maxwell






























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Green



Bohm


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James

Brentano








A field is simply a quantity defined at every point throughout some region of space and time.
't Hooft    

Our basic ontology is that all systems, macroscopic structures included, are quantum fields [...]
Saunders

[All] chemical binding is electromagnetic in origin, and so are all phenomena of nerve impulses.

Salam


nerve impulses

When a state is formed by the superposition of two other states, it will have properties that are in some vague way intermediate between those of the original states and that approach more or less closely to those of either of them according to the greater or less 'weight' attached to this state in the superposition process. The new state is completely defined by the two original states when their relative weights in the superposition process are known, together with a certain phase difference, the exact meaning of weights and phases being provided in the general case by the mathematical theory.

Dirac

NN superposition


Among the many biological objects a particularly interesting one is the brain. For any theory to be able to claim itself as a brain theory, it should be able to explain the origin of such fascinating properties as the mechanism for creation and recollection of memories and consciousness.

For many years it was believed that brain function is controlled solely by the classical neuron system which provides the pathway for neural impulses. This is frequently called the neuron doctrine. The most essential one among many facts is the nonlocality of memory function discovered by 
Pribram [...]

There have been many models based on quantum theories, but many of them are rather philosoph- ically oriented. The article by Burns [...] provides a detailed list of papers on the subject of consciousness, including quantum models. The incorrect perception that the quantum system has only microscopic manifestations considerably confused this subject. As we have seen in preceding sections, manifestation of ordered states is of quantum origin. When we recall that almost all of the macroscopic ordered states are the result of quantum field theory, it seems natural to assume that macroscopic ordered states in biological systems are also created by a similar mechanism.

Umezawa   


Well, obviously the extra dimensions have to be different somehow because otherwise we would notice them.
Green     

Now it may be asked why these hidden variables should have so long remained undetected.

Bohm  

"hidden" variable


The fundamental principle of that philosophy is the opinion concerning colours, sounds, tastes, smells, heat and cold; which it asserts to be nothing but impressions in the mind, deriv'd from the operation of external objects, and without any resemblance to the qualities of the objects.

§

This principle being once admitted, all other doctrines of that philosophy seem to follow by an easy consequence. For upon the removal of sounds, colours, heat, cold, and other sensible qualities, from the rank of continu'd independent existences, we are reduced merely to what are called primary qualities,as the only real ones,
of which we have any adequate notion.
These primary qualities are extension and solidity, with their different mixtures and modifications; figure, motion, gravity and cohesion. The genera- tion, encrease, decay and corruption of animals and vegetables, are nothing but changes of figure and motion; as also the operations of all bodies on each other; of fire, of light, water, air, earth, and of all the elements and powers of nature [...]

Thus there is a direct and total opposition betwixt our reason and senses [...] When we reason from cause and effect, we conclude, that neither colour, sound, taste, nor smell have a continued and independent existence. When we exclude these sensible qualities there remains nothing in the universe, which has such an existence.

Hume
 

Where do the colors come in?


The ultimate of ultimate problems, of course, in the study of the relations of thought and brain, is to understand why and how such disparate things are connected at all […] We must find the minimal mental fact whose being reposes directly on a brain-fact; and we must similarly find the minimal brain event which will have a mental counterpart at all. 

William James


In attempting to judge the success of a physical theory, we may ask ourselves two questions: (1) “Is the theory correct?” and (2) “Is the description given by the theory complete?” It is only in the case in which positive answers may be given to both of these questions, that the concepts of the theory may be said to be satisfactory. The correctness of the theory is judged by the degree of agreement between the conclusions of the theory and human experience [...] Whatever the meaning assigned to the term complete, the following requirement for a complete theory seems to be a necessary one: every element of the physical reality must have a counterpart in the physical theory.
EPR

elements of reality




























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G field

gravity = curvature

Physicists talk about two kinds of fields: classical fields and quantum fields. Actually, we believe that all fields in nature are quantum fields. A classical field is just a special large-scale manifestation of a quantum field.

But since classical fields were discovered first and are easier to understand, it is necessary to say what we mean by a classical field first, and go on to talk about quantum fields later.

A classical field is a kind of tension or stress which can exist in empty space in the absence of matter. It reveals itself by producing forces, which act on any material objects which happen to lie in the space the field occupies. 

§

In order to describe completely the state of the fields in a given region of space, it is necessary to specify the strength and the direction of both the electric and the magnetic fields at every point of the region separately. This is the characteristic mathematical property of a classical field: it is an undefined something which exists throughout a volume of space and which is described by sets of numbers, each set denoting the field strength and direction at a single point in the space.

Dyson

galaxy

There is nothing else except these fields: the whole of the material universe is built of them. (Dyson)

The text of this volume claims that the mathematical formulations that have been developed for quantum mechanics and quantum field theory can go a long way toward describing neural processes due to the functional organization of the cerebral cortex.
Pribram

   
matrix

A projection matrix P is an nxn square matrix that gives a vector space projection from R^n to a subspace W. The columns of P are the projections of the standard basis vectors, and W is the image of P.


Gr & gauge theory


We also
find that the role the gauge potentials play in fiber-bundle space in gauge theory is exactly same as the role the affine connection plays in curved space-time in general relativity.

Cao    

metamer

We can also find information embodied in conscious experience. The pattern of color patches in a visual field, for example, can be seen as analogous to that of pixels covering a display screen. Intriguingly, it turns out that we find the same information states embodied in conscious experience and in underlying physical processes in the brain.The three- dimensional encoding of color spaces, for example, suggests that the information state in a color experience corresponds directly to an information state in the brain. We might even regard the two states as distinct aspects of a single information state, which is simultaneously embodied in both physical processing and conscious experience.

Chalmers  


Repeated time and again with unimaginably more sophisticated and sensitive apparatus than Young's, the double-slit experiment encapsulates, said the physicist Richard Feynman, the "heart of quantum mechanics," its "only mystery."

The question now is, how does it really work? What machinery is actually producing this thing? Nobody knows any machinery. Nobody can give you a deeper explanation of this phenomenon than I have given [...]

Feynman   

extra dimension


It is increasingly clear that the symmetry group of nature is the deepest thing that we understand about nature today.

Weinberg   

Einstein and Bohr had a debate.


All other psychological phenomena are derived from the combinations of these ultimate psychological elements, as the totality of words may be derived from the totality of letters. Completion of this task would provide the basis for a Characteristica universalis of the sort that had been conceived by Leibniz, and before him, by Descartes.

Brentano

Characteristica universalis















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