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Essay Abstract

A deep-quantum model of time is described. It begins with a stratified state-vector space without space-time and gauge fields. These emerge from contact exchange interactions and vacuum condensation. The model is an imbedding of the existing singular theories of gravity and GUT within a simple (Clifford) algebra with strata used to represent those of physics. This results in a model that is regular as well as simple. Its phenomenological vacuum is a finite quantum cellular shell truss one cell thick and cosmologically-many cells long, whose struts are quantum trits (three-state elements). Each cell has 10 dimensions transverse to the shell, giving rise to the GUT fermions, and 4 along the shell, giving rise to spin on one stratum and space-time on another. The great anisotropy of the shell results in the great differences between internal and external variables, and between GUT and gravity. For each frame, the longitudinal shell dimension of negative signature is time.

Author Bio

David Ritz Finkelstein is professor emer. of physics at Georgia Tech, where he does research and teaches. He was educated at City College of New York and Massachusetts Institute of Technology, and did early work on quantum logic, black holes, gravitational skyrmeons, the electroweak unification, and quantum-computer models of space-time. He suspects that the universe is a kind of quantum cellular neural network, and has been hunting the chronon, the quantum of time, since college. His book Quantum Relativity described this work up to 1996.

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Prof. Finkelstein, I've been following your work since I read your "Space-time code" papers in Phys.Rev. years ago. Unfortunately I soon got lost somewhere down the mathematical/logical rabbit hole you led us, no doubt due to my own shortcomings... Glad to see the rabbit hole is getting deeper still...

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David,

"Emerge. Simplify. Stratify. Localize."

What a marvelous way to organize a theory of time in which quantum events drive local observation.

Sea Time and Queue Time appear to be a true unification of relativistic time--where time is a simple continuous and reversible parameter--and quantum momenta, which appear as real-valued outcomes, positive, negative and zero. I love the metaphor of Sea time as a continuous knob and Queue time as many single pole, triple-throw switches. One imagines that the continuous and infinitely orientable "knob" outputs values at every chronon increment that correspond to one of the triple posiitions. Maybe the answer, somewhere in time, really is 42. :-) The model answers Einstein's challenge to discrete physical functions (The Meaning of Relativity), in that although one can give good reasons why reality cannot be represented in a continuous field theory, if quantum theory is correct, one should have a theory that completely describes the world in quantum numbers.

On a personal note, the "truss shell model" spoke to me on an issue I have struggled over in my own research. To arrive at a 10-dimension limit of 4-dimension spacetime, I summed the cardinal points of discrete spatial dimensions up to non-redundant points of the Riemann tensor metric. Though I found the sum useful, I could never identify any good physical reason to do it. Your model ("...the spacetime process itself ...") is exactly what I had in mind and was never so bold to express. The cardinal totality of points in the tensor field (16) with 6 redundant points, results, as you say, in 10 dimensions transverse to each cell. In my model, as in your cold graphene macro-molecule, emergent waves carry away energy. I have generalized to the result:

The 4-dimension horizon is identical to the 10-dimension boundary.

As in your model, this obviates a compactification problem in my model as well. I do hope you can make time to read my FQXI essay, "Time counts."

David Finkelstein, may your tribe increase.

Tom

a month later
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Dear Prof. Finkelstein

Reading your article on FQXi I would like to inform you I have solution for your idea on:

Time does not give birth to such a vacuum but emerges from it.

Vacuum, we can say cosmic space is atemporal. Time emerges from it when we measure duration of material change runing in vacuum-space.

see

-Sorli A. (2008) The Theory of Atemporality

http://www.fqxi.org/data/forum-attachments/THE_THEORY_OF_ATEMOPORALITY.pdf

- Sorli A. (2008) The Concept of Atemporality into The Theory of Relativity

http://www.fqxi.org/data/forum-attachments/1_The_Concept_of_Atemporality_into_The_Theory_of_Relativity__amrit_2008.pdf

yours amrit

8 years later

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