Peter - thank you for your kind comments. If such a thing is possible, then it puts a whole new light (no pun intended) on some of the most vexing issues in physics today and a number of profound consequence follow.

I started reading your papers from Academia.edu, and yes, I do believe you have proper and co-ordinate time well defined ;-) In fact, I was really quite impressed, you have done some outstanding work here. I am surprised I have not come across your work before.

Would love to stay in touch.

In the meantime, good luck in the contest.

Kind regards, Paul

Michel - I hope that by now you have forgiven me for not using the concept of entanglement in an appropriate way ;-)

I intended to be provocative: if the concept of subtime and the mutual hot potato photon does indeed predict identical results in Bell experiments and yet it has explanatory power beyond the statistical-only Hilbert formalism, then we can begin a new conversation on the nature of entanglement and perhaps even the measurement problem itself.

I looked at your paper on phase locked loops. This is an impressive piece of work. It reminds me of my first career in my teens and 20's as an electronics and telecommunications engineer and the old familiar PLL concepts came flooding back. Very enjoyable, thank you.

The biggest distinction I see is that I have introduced a truly reversible local-only conceptualization of time. The principal argument is that subtime starts and stops with the emission and absorption of a photon, and is reversed in all ontological respects as the photon is returned in the hot-potato protocol. This is how I divorce myself from a background assumption of time, which is not (as far as I can tell) the situation in your otherwise excellent PLL paper.

One possible further thought - to begin to unify the multiplicative Fourier transform approach applied to the tensorial products in your paper is to consider the path traced out by the photon, not as "terminating" on the atoms, but as a continuous path through each atom, a half orbit (Pi) change of direction at each end. This provides both a mathematical "pole" in the imaginary plane as well as a potentially appealing visualizable ontology which can be explored in its compatibility with Maxwells equations and Euler's identity.

I would love to stay in touch.

Kind regards, Paul

Paul at Borrill dot com

Michel - I hope that by now you have forgiven me for not using the concept of entanglement in an appropriate way ;-)

I intended to be provocative: if the concept of subtime and the mutual hot potato photon does indeed predict identical results in Bell experiments and yet it has explanatory power beyond the statistical-only Hilbert formalism, then we can begin a new conversation on the nature of entanglement, and perhaps even the measurement problem itself.

I looked at your paper on phase locked loops. This is an impressive piece of work. It reminds me of my first career in my teens and 20's as an electronics and telecommunications engineer and the old familiar PLL concepts came flooding back. Very enjoyable, thank you.

The biggest distinction I see is that I have introduced a truly reversible local conceptualization of time. The principal argument is that subtime starts and stops with the emission and absorption of a photon, and is reversed in all ontological respects as the photon is returned in the hot-potato protocol. This is how I divorce myself from a background assumption of time, which is not (as far as I can tell) the situation in your otherwise excellent PLL paper.

One possible further thought - to begin to unify the multiplicative Fourier transform approach applied to the tensorial products in your paper is to consider the path traced out by the photon, not as "terminating" on the atoms, but as a continuous path through each atom, a half orbit (Pi) change of direction at each end. This provides both a mathematical "pole" in the imaginary plane as well as a potentially appealing physical ontology which can be explored in its compatibility with Maxwells equations and Euler's identity.

I would love to stay in touch.

Kind regards, Paul

Paul at Borrill dot com

Tom - thank you for your kind comments. I wasn't looking at my rating until you mentioned it. I figured its going to be what its going to be.

My essay does not discuss exceeding the speed of light, it only questions our ability to accurately measure "time intervals" in spatially separated systems. By recognizing that our irreversible and monotonic assumptions regarding classical time (Tc) may be an illusion, and that what may be going on is the vector sum of subtime traversals in an entangled system, we can no longer think simplistically about past and future or a fixed ordering of events in the experimental record. Both Lev Vaidman and Lorenzo Maccone (referenced in the essay) appear to have a similar instincts; I have merely given it the simplest ontological explanation I can think of which is consistent will known results in physics today.

When I read the "faster than light neutrino's" kerfuffle, I realized this might be a manifestation of exactly what I am describing here, not perhaps in the neutrinos reversing their path, but in the "quantum stroboscope" mistake we may have about how we sample reality. Remember, like Bell tests, these experiments were really two experiments in different places reconciled in a "record" at some third location. These measurements are (like all time of flight tests) done as averages. No one has yet been able to convincingly produce an emitter of single photons (or neutrinos) or for that matter, convincingly demonstrate a reliable absorption of a single photon (or neutrino). In the case of truly single-flight events, there is no common background of time, and anything that can happen, can unhappen, leaving traces of information in the Tc record that give the illusion of superluminal flight.

Remember: the quantum stroboscope: "brief flashes of reality with long periods of darkness in between".

I will take a look at your ICCS 2006/7 work on random, self avoiding walk as soon as the contest is over.

Kind regards, Paul

Dear Paul,

Thank you so much for your essay. Your essay has the different viewpoint to my essay http://fqxi.org/community/forum/topic/1836 . However, my question is how to connect thermodynamics, statistical mechanics, and the Shannon theory? Your theory seems to be based on this answer.

Best wishes,

Yutaka

    Dear Paul,

    We are at the end of this essay contest.

    In conclusion, at the question to know if Information is more fundamental than Matter, there is a good reason to answer that Matter is made of an amazing mixture of eInfo and eEnergy, at the same time.

    Matter is thus eInfo made with eEnergy rather than answer it is made with eEnergy and eInfo ; because eInfo is eEnergy, and the one does not go without the other one.

    eEnergy and eInfo are the two basic Principles of the eUniverse. Nothing can exist if it is not eEnergy, and any object is eInfo, and therefore eEnergy.

    And consequently our eReality is eInfo made with eEnergy. And the final verdict is : eReality is virtual, and virtuality is our fundamental eReality.

    Good luck to the winners,

    And see you soon, with good news on this topic, and the Theory of Everything.

    Amazigh H.

    I rated your essay.

    Please visit My essay.

      Late-in-the-Day Thoughts about the Essays I've Read

      I am sending to you the following thoughts because I found your essay particularly well stated, insightful, and helpful, even though in certain respects we may significantly diverge in our viewpoints. Thank you! Lumping and sorting is a dangerous adventure; let me apologize in advance if I have significantly misread or misrepresented your essay in what follows.

      Of the nearly two hundred essays submitted to the competition, there seems to be a preponderance of sentiment for the 'Bit-from-It" standpoint, though many excellent essays argue against this stance or advocate for a wider perspective on the whole issue. Joseph Brenner provided an excellent analysis of the various positions that might be taken with the topic, which he subsumes under the categories of 'It-from-Bit', 'Bit-from-It', and 'It-and-Bit'.

      Brenner himself supports the 'Bit-from-It' position of Julian Barbour as stated in his 2011 essay that gave impetus to the present competition. Others such as James Beichler, Sundance Bilson-Thompson, Agung Budiyono, and Olaf Dreyer have presented well-stated arguments that generally align with a 'Bit-from-It' position.

      Various renderings of the contrary position, 'It-from-Bit', have received well-reasoned support from Stephen Anastasi, Paul Borrill, Luigi Foschini, Akinbo Ojo, and Jochen Szangolies. An allied category that was not included in Brenner's analysis is 'It-from-Qubit', and valuable explorations of this general position were undertaken by Giacomo D'Ariano, Philip Gibbs, Michel Planat and Armin Shirazi.

      The category of 'It-and-Bit' displays a great diversity of approaches which can be seen in the works of Mikalai Birukou, Kevin Knuth, Willard Mittelman, Georgina Parry, and Cristinel Stoica,.

      It seems useful to discriminate among the various approaches to 'It-and-Bit' a subcategory that perhaps could be identified as 'meaning circuits', in a sense loosely associated with the phrase by J.A. Wheeler. Essays that reveal aspects of 'meaning circuits' are those of Howard Barnum, Hugh Matlock, Georgina Parry, Armin Shirazi, and in especially that of Alexei Grinbaum.

      Proceeding from a phenomenological stance as developed by Husserl, Grinbaum asserts that the choice to be made of either 'It from Bit' or 'Bit from It' can be supplemented by considering 'It from Bit' and 'Bit from It'. To do this, he presents an 'epistemic loop' by which physics and information are cyclically connected, essentially the same 'loop' as that which Wheeler represented with his 'meaning circuit'. Depending on where one 'cuts' the loop, antecedent and precedent conditions are obtained which support an 'It from Bit' interpretation, or a 'Bit from It' interpretation, or, though not mentioned by Grinbaum, even an 'It from Qubit' interpretation. I'll also point out that depending on where the cut is made, it can be seen as a 'Cartesian cut' between res extensa and res cogitans or as a 'Heisenberg cut' between the quantum system and the observer. The implications of this perspective are enormous for the present It/Bit debate! To quote Grinbaum: "The key to understanding the opposition between IT and BIT is in choosing a vantage point from which OR looks as good as AND. Then this opposition becomes unnecessary: the loop view simply dissolves it." Grinbaum then goes on to point out that this epistemologically circular structure "...is not a logical disaster, rather it is a well-documented property of all foundational studies."

      However, Grinbaum maintains that it is mandatory to cut the loop; he claims that it is "...a logical necessity: it is logically impossible to describe the loop as a whole within one theory." I will argue that in fact it is vital to preserve the loop as a whole and to revise our expectations of what we wish to accomplish by making the cut. In fact, the ongoing It/Bit debate has been sustained for decades by our inability to recognize the consequences that result from making such a cut. As a result, we have been unable to take up the task of studying the properties inherent in the circularity of the loop. Helpful in this regard would be an examination of the role of relations between various elements and aspects of the loop. To a certain extent the importance of the role of relations has already been well stated in the essays of Kevin Knuth, Carlo Rovelli, Cristinel Stoica, and Jochen Szangolies although without application to aspects that clearly arise from 'circularity'. Gary Miller's discussion of the role of patterns, drawn from various historical precedents in mathematics, philosophy, and psychology, provides the clearest hints of all competition submissions on how the holistic analysis of this essential circular structure might be able to proceed.

      In my paper, I outlined Susan Carey's assertion that a 'conceptual leap' is often required in the construction of a new scientific theory. Perhaps moving from a 'linearized' perspective of the structure of a scientific theory to one that is 'circularized' is just one further example of this kind of conceptual change.

        Yutaka - thank you for your comment. I will now take a look at your paper.

        Kind regards, Paul

        Edwin - thank you for your comment. I'm glad you liked my essay. Of course, any serious scientist should be downright skeptical at reading such an absurd idea! But there again, I wouldn't have published it if I could find something wrong with it. After more than a decade of having this in my head, and 5 years of intense Gedankens, I haven't been able to refute it, so I let it loose for people like you to find holes in it.

        I'm pleased you raised the issue about a distant star emitting a photon. Such an idea was suggested, for instance, by Tetrode (1922) and also by Lewis (1926):

        "An atom never emits light except to another atom, and. . . it is as absurd to think of light emitted by one atom regardless of the existence of a receiving atom as it would be to think of an atom absorbing light without the existence of light to be absorbed. I propose to eliminate the idea of mere emission of light and substitute the idea of transmission, or a process of exchange of energy between two definite atoms or molecules. (Lewis, 1926, p. 24)"

        This was a central theme of the Wheeler and Feynman Absorber paper quoted in my essay.

        The point is, free photons seek out "entanglement" with other atoms. Some find targets nearby, which is why we have condensed matter and the double slit experiment. Intermediate ones create rare reflections in planetary or stellar distances (don't forget entanglement swapping). Yet others fly off in the universe and go forever, perhaps exerting pressure on some distant galaxy to accelerate away from us. Where the boundary is is definitely a future mathematical exploration. Which is exactly what I would be doing if I were not running a company right now ...

        I will definitely take a look at your essay.

        
Good luck in the contest.

        Kind regards, Paul

        LC - thank you very much for your thought provoking comment. I had hoped to gain the attention of those interested in quantum gravity (string or LQG). The lesson I would hope the string theorists would get is that a background assumption of time is a crutch they can do away with. The LQG folks already know this.

        The idea I have proposed is very simple, simplistic even. My thoughts have gone beyond photon entanglement to considering its applicability to any bosonic particle. However, the resulting "massive asynchrony" under the hood is of the order of an Angstrom's worth of time interval for atoms, and many Angstroms for molecules. For the Nucleus, the answer would be a Fermi's worth of time interval ... It gets really interesting for gravitons.

        If this first step is true, there is a lot more of this theory to be explored. I'm hoping someone will find a hole in my argument so I can get this out of my head and go back to my day job.

        Good luck in the contest, I will be sure to read your paper.

        Kind regards, Paul

        Please see my response to this in the posting above. I have nothing further to add.

        Kind regards, Paul

        Amazigh - thank you for your comment. I have your essay printed and will be sure to rate it before the end of the contest.

        Kind regards, Paul

        John - thank you so much for the outstanding summary your posted here. You epitomized my views on many of the excellent essays on this site.

        However, you may be mistaken in one aspect: I am not (currently) in the "It from Bit" camp. My current position is it is either "Bit from It" or they are both sides of the same coin, neither being more fundamental in their ontology than the other.

        Good luck in the contest, and thank you again for leaving a comment on my page.

        Kind regards, Paul

        John - thank you for your comment.

        Kind regards, Paul

        Dear Paul,

        Thank you for posting in my essay where I characterize "information" as the substance of fields, and consequently as a substantial element of nature.

        I went through your essay and I rated it according to my first impressions: much appreciation for your interesting ideas and for the way you express them. I need more time to re-read it and will later formulate my in-depth comments.

        Kind regards,

        Antoine.

          Paul,

          While we differ on how we view entanglement somewhat, I found your paper excellently argued and thoughtful. Your concept of "subtime" has great appeal, and I will be pondering this for some time;l I believe you are onto something deep. Cheers and best of luck in this contest! I greatly appreciate your comments on my paper.

          Jennifer

            Antoine - you are welcome. I enjoyed reading your essay, and thank you for your comments. I will look forward to hearing more of your impressions when you have had chance to go through the paper in depth. Please make sure you download the corrected version (attached below).

            Kind regards, PaulAttachment #1: Borrill-TimeOne-V1.1a.pdf

            Jennifer - thank you for your kind words. Make sure you read my follow-on reply to your earlier comments (above) discussing Penrose's quanglement.

            I will look forward to further conversations after the contest closes.

            Kind regards, Paul

            Thank you, Paul.

            I said it badly -- what I meant to suggest, re the neutrino test, was that an average speed (velocity) of test particles if measured in one direction only tells us nothing about the instantaneous speed of a single body. As a classical analogy, Kepler's orbitals that sweep equal areas in equal times demand an acceleration curve that could not be measured as conservation of orbital angular momentum if the orbit were circular instead of elliptical -- a circular path of constant angle in curvilinear acceleration gives up no information on time conservation, because every point equidistant from the radius is in a state identical to every other, as if lying on a straight line.

            The attempt to linearly measure the speed of any particle without a 2-part average ("coming" and "going") therefore not only fails to conserve time, it fails the test of rational science. Suppose we measure an arbitrary number of neutrinos going and measure less than that number coming back -- (this is a thought experiment, of course, not possible to do) -- can we conclude that A minus B number of neutrinos broke the time barrier? Impossible. For if some neutrinos accelerated past others and out of "the orbit" of our speed-limited world, we couldn't have had any information of how fast the neutrinos were traveling when we first measured the speed.

            While this is a less technical explanation of the time = information argument than I (or you) am capable of giving, I think it adequately makes the point. One has about as much chance of falsifying special relativity, as falsifying the second law of thermodynamics.

            All best,

            Tom

            Dear Paul,

            I enjoyed reading your essay, which has some intriguing ideas, in particular that of subtime ("Subtime is what happens when we are not looking."). Quantum mechanics seems to have a self-protection mechanism, which forbids us to see how quantum things happen, when looking at them. This makes so many distinct interpretations to be undistinguishable, from experimental viewpoint. It is good when a new interpretation comes with the possibility of being falsified.

            Best regards,

            Cristi Stoica