Walter, thank you very much for your kind comments. Julian Barbour is one of the key influencers in my work.

We appear to agree strongly. I argued that Minkowski spacetime was superfluous at best and harmful at worst because it implies change can occur along the time axis independently of change on the spatial axes. Instead, I identified "subtime" with information transfer as a photon traverses the one-dimensional path from one atom to another, and is reversed in all ontological respects when the photon traverses back to the originating atom (can be generalized to any fermion/boson interaction).

Quantum particles are deaf dumb and blind. They are "surprised" in a Shannon sense when new energy/information arrives (or particles bump into each other in the night). This corresponds to Bohr's intuition of quantum jumps: they appear instantaneous (like sudden change between flashes of a stroboscope). The classical time that we see (measure) is the vector sum of subtime in an entangled system (which grows to any size).

It is important to realize (and this is a simplistic description) that there can still be "motion" in the sense of atoms moving around in space (the void?). They can still bump into each other, but there is no manifestation coordinates, in space or time that we can see or measure. It is only when we interact with something (via photons) that our quantum states mix and we "share" information with what we are measuring. Information accumulates only when the scaffolding of entanglement binds matter together. The accumulation of this information up the scales from the microscopic to the macroscopic leads to what we as humans perceive as time.

I concur that space-time is an abstract mathematical fiction. The recent paper by Fromholz, Poisson and Will [1] (provided to me by Christian Corda) essentially argues your case for a background-free concept of space-time in their recognition that a Schwarzschild geometry can be described in infinitely many coordinate systems.

Please send me the references to the two recent papers you referred to regarding momentum entanglement, I would be delighted to read them and continue our conversation.

As I mentioned in an earlier post, the reason this essay is completely devoid of mathematical formalism is because I wanted to begin with a describable phenomenon, and not with an argument over deficiencies in current formalisms. I plan to follow up this paper with a fully mathematical description, but I wanted people to read and understand this description first in order to pave the way to a new understanding.

The mathematics to describe subtime is very straightforward, almost any college graduate who understands the Euler equation and vector algebra can derive it as a homework exercise. How it evolves up the chain to the macroscopic world however, is a more challenging mathematical task, which might require a different form of mathematics [2].

In my view, before adding further "weight" to the mathematical frame we view nature through, it would be better to step back and explore the unexamined beliefs in the hidden assumptions behind current mathematical formalisms, and our inadequate interpretations of their meaning that is hindering our understanding of nature.

Kind regards, Paul

[1] Fromholz, Pierre, Eric Poisson, and Clifford M. Will. The Schwarzschild Metric: It's the Coordinates, Stupid! ArXiv e-print, August 1, 2013. http://arxiv.org/abs/1308.0394.

[2] P. Borrill, L. Tesfatsion. "Agent-Based Modeling: The Right Mathematics for the Social Sciences?" http://www.econ.iastate.edu/research/working-papers/p11674

Kevin - thank you for your kind remarks.

I focused on photons and atoms only to get the idea across. The principle (a reversible vector of combined time/information) should be generalizable to any boson/fermion interaction. Since photons are the fastest things we know of in the universe, they set the maximum rate of evolution that we see in our classical world.

I'm not at all sure how gravity comes into the picture. Gravitons (and gravity waves) are predicted by Einstein's General Theory, but they have not yet been observed. It might be more suitable to call it something like "influence" until we have a better handle on it. There are many others on this site who are far more qualified than I am to discuss this.

What it means for "someone to be looking" was a paraphrase of Einstein's remark to Abraham Pais when Einstein asked him whether he really believed that the moon exists only when he looked at it. Each photon reversal is a reversal of time also (remember this is the unique subtime between bipartite systems, there is no universal background of time).

Let me know if you have any further questions after you have had a closer look at the paper.

Kind regards, Paul

Michael - thank you for your comment. I have reviewed and rated all 180 essays on this contest. I did not have time to leave detailed comments on all of them.

Kind regards, Paul

Brian - thank you for your kind comments. After working in the dark depths of concurrency issues in computer science for most of my life, it seemed obvious to me that nature could just as easily "multiplex" its multiple universes on the same physical "hardware" of entangled matter in one universe.

Thank you for your hopes for a good review. I plan to publish the essay formally.

Kind regards, Paul

Dear Angel Garces Doz - thank you for your comments. You clearly understand the implications of my subtime postulate: "The photon is the carrier of time, and the Universe is a network automaton".

I found your essay interesting, and set it on the special pile to be read again in depth. Although I did have a hard time wrapping my head around "imaginary mass states" and "vibrations in the fabric of space-time, at speeds exceeding that of light".

I do not subscribe to the idea of "information content independent of the observer". I prefer the view that observers are part of the same network, as described in the excellent essay by Kevin Knuth in this contest.

My view is that causality is symmetric. There is no privileged role or direction for the observer-observee relationship. For every action there is an equal and opposite reaction. Just as effects must have causes for them to exist, causes must also have effects for them to exist. Measurements of information will thus be different (and opposite in sign) for each observer from their vantage point.

Kind regards, Paul

Georg - thank you for your comment. I have reviewed and rated all 180 essays in this contest.

Kind regards, Paul

Jim - you are welcome. I reviewed and rated all 180+ essays in this contest.

Yes this idea is out of the box; this is why I described it as absurd. I spent years trying to find a hole in my argument, and decided it would be easier to publish it and get shot down in flames if I am wrong.

Subtime is the vector of energy/information that travels with the photon. I describe entanglement as the constant passing back and forth of this energy/information, resulting in no net change for an even number of traversals, and a net change of 1 being indiscernible from n+1 traversals.

This is "dark" because this photon energy/information is "trapped" until something else (a 3rd party) breaks entanglement by making a measurement on one of the atoms taking energy out of the system.

All photons travel at the speed of light, whether or not they are entangled. The difficulty lies in our ability to measure time intervals against a background of time, because such a background does not exist, and therefore cannot be measured. As far as results of measurements are concerned, the following paragraph from my essay pretty much sums up why we appear to see evidence of superluminal propagation in the experimental record:

Since time does not move forward until the arrival of a photon, entanglement can occur over arbitrarily large distances. There is no limit. The only constraint is in our imagination: it is difficult for us to imagine that as humans at the macroscopic scale, that we are living like the flashes of the quantum stroboscope are smoothly joined together. They are not. there are brief flashes of reality during decoherence events with long periods of darkness in between.

Kind regards, Paul

Janko - thank you for your comment.

Occam's razor is the most important principle I live by. It seems to me that subtime is far simpler than any other interpretation so far, so I don't understand your comment. Maybe you mean "for Occam" instead of "against" ?

If anything, subtime is too simple, simplistic even. However, I wanted to get the basic idea on the table for debate first before discussing "optimizations".

Time is indeed symmetric inside coherent (bipartite) entanglements.

Thank you for the complimentary comment on my editing. I am not at a University, I do not get any form of compensation for this work. I have only myself as an editor, although my assistant has been know to find mistakes in my spelling and grammar.

I look forward to more comments when you have read it again.

Kind regards, Paul

Jim - thank you for your message. I followed the instructions on the help page. However, after a fair number of attempts, I was unable to create a link that worked properly when I clicked on it. This why I revered to text url's in my postings.

I didn't have time to go into this any further, so I reported the problem to the fqxi administrators. I am waiting for them to get back to me and point out what I was doing wrong.

Kind regards, Paul

Ralph - thank you for your comment. I tried to write the paper in a style that could be accessible to those who are not professional physicists. I am interested in comments from everyone. You don't have to be a specialist in the field in order to have interesting questions.

Kind regards, Paul

Jonathan - you are welcome. Thank you.

Kind regards, Paul

Amos - thank you for your kind comments. I'm glad you found the idea divinely intriguing.

There are deep issues in the fundamentals of physics regarding what a clock really is. Even Einstein's photon clock considered time only within the boundaries of the clock. The concept of subtime exists only along the photon path between the atoms, not in the empty space beyond both ends. The rate of the ticks is arbitrary, depending only on the distance we choose between the atoms. Of course, nature may choose its own minimum distances according to the Pauli principle, which is what makes an atomic clock such an interesting device.

To answer your question: the amount of subtime (ts) oscillates in sympathy with the bouncing back and forth of photons. Classical time (Tc) appears the same (frozen) to an outside observer. This is indistinguishable from being "dark", i.e., not observable. In this interpretation of entanglement, photons do interact with the screen, but instead of being absorbed (detected) they are reflected back to the source an arbitrary number of times.

I also have a suspicion that this is what Einstein was thinking. However, he was waylaid by Minkowski who insisted that time is built into the fabric of space in his famous 4D-spacetime interpretation of SR. I think this was a huge error.

Kind regards, Paul

Best of luck in the finals Paul.

I'm not sure if my rating was counted, so near the final bell, but you made it into the finals either way.

Have Fun!

Jonathan

Jim - thank you for your kind comments and wishes for good luck. I read Cramer's original 1986 paper a long time ago. The overview you provided in the above link is a great. Thank you.

Cramer's Transactional Interpretation (TI) uses both a retarded and an advanced wave together as an outgoing "offer wave", and then another (180 phase shifted) retarded plus advanced wave as a "confirmation wave". Cramer's concept of an interaction is a "transaction" a one-off completion of a "contract" between an emitter and absorber which localizes only one of a "pair" of conjugate variables from the offer wave. The offer wave and confirmation wave are sequentially ordered on a classic background of time (Tc). Cramer talks about past and future and issues of "retrocausality": committing essentially the same "background of time" fallacy discussed above with respect to Feynman and Penrose.

Cramer stresses the point that the interpretation of a mathematical formalism cannot be tested experimentally and must be judged on other grounds. TI does not therefore have any experimentally verifiable distinctions to other interpretations. Subtime, on the other hand, does have distinctions that can be tested experimentally.

The subtime interpretation (SI) identifies forward and backward photons (not waves) as "time incrementing" and "time decrementing" tokens of information depending on the perspective of the sender or receiver. Unlike Cramer's interpretation, there is no external background of time on which to express these events in sequential order. Retrocausality is a non-issue for SI because it fully incorporates the reversal of time in bipartite interactions. This is why we can account for violations in Bell inequalities (in the "time averaged" experimental record) without sacrificing locality.

In SI the wave nature of a photon is expressed through the helicity of its traversal (clockwise when viewed from the sender, anticlockwise when viewed from the receiver). These helicities are reversed as the roles of sender and receiver are perpetually reversed in the hot potato of entanglement.

In a nutshell: the photon travels one way, then travels back, removing all evidence that it ever traveled there in the first place. The wave nature is expressed in the helical path of the photon (Poynting's rotating shaft) without having to assume a "wave function" that pervades all of space.

Subtime entanglement conserves energy and information in a perpetually alternating "hot potato" protocol. This manifests as an indefinitely "frozen moment" in classical time (Tc). The reality that we assume and perceive in Tc is really a quantum stroboscope: brief flashes of reality with long periods of darkness in between.

Kind regards, Paul

Jonathan - thank you. I would still love to hear your comments after reviewing the paper.

Kind regards, Paul

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Dear Paul

Thank you for visiting my page. I enjoyed reading your well-thought-out, written, and illustrated paper on the it-bit conundrum. That the photon is the carrier of information per se goes to the heart of the question. I see you teetering on accepting that the Universe can be represented as of one State that goes one tick at a time - i.e that there is no time dimension, but then you draw back and create an ingenious system to have your cake and eat it too: as Einstein conceived it, and as latter-day Mach might have it - all the elements of the Universe interacting simultaneously (if I understood your network concept).

I could not say I completely followed the logic of your Tc and ts completely and am baffled by the infinitely ricocheting photon between two atoms. What happens in a vacuum where no atoms exist? Anyway From the degree of confidence in your essay I feel that you have found yet another ingenious way to formulate what happens in Reality, and wish you all the luck in proving it and finding acceptance for it.

My approach however, is very different and seeks simplicity. Perhaps you can cast a look on my 2005 Beautiful Universe Theory also found here in which the Universe is a timeless lattice of ordered nodes transmitting angular momentum locally, causally and linearly. I have demonstrated how probability emerges from that exquisite order. I do not accept Einstein's point photon concept and was very happy when I discovered that Eric Reiter has independently proven that experimentally. Eric Reiter's website is unquntum.net . I think that is a very imortant finding that deserves much more discussion than it is garnering.

With all best wishes

Vladimir

    Hoang - thank you for your comment.

    Kind regards, Paul

    In response to your post; sorry for the delay, a bit busy.

    I am glad that you read my essay, and I am even more happy that you rated it low.

    I read, and rated, all the essays some weeks ago, and If I remember well I rated high (not 10) your essay: I can say now, because there is not problem now.

    I am thinking, like you and other authors, that the information is transmitted by photons, that transport the information of a system: for me, the information is a measure using photons (or other gauge bosons).

    I am thinking that is right, that the decoherence is obtained from interaction between entangled bosons and other entangled bosons (or gravitational ripples, as I read somewhere).

    It is interesting the use of the single photon to measure entropy change, but I have problem with macroscopic object: if I use a source of photons to read the macroscopic state of a system (for example an image of a picture), then have the system of optics and picture a constant entropy? If I understand well, there are entangled photons for each optics system, that are decoherenced instantly.

    My old idea is that the time change because of the radioactive decay (irreversible process), or spontaneous emission (but my mind is devoid of prejudice).

    I am thinking, like you, that the time does not exist without curvature (in the past or future), or equivalently if there are not bosons, or there are not motions.

    A good essay.

      Dear Paul,

      Congratulations mainly for the splendid essay. I am sorry I did not manage to rate it in time. You may have a look to: http://vixra.org/pdf/1306.0226v2.pdf

      Good luck to expert's rating as well,

      IH