Hello Tom,

Assuming there will be no more casting about; it is my pleasure to congratulate you as a finalist. I enjoyed your essay greatly, though it took a couple of readings for some ideas to sink in. I think it is especially poignant; the overlooked point that being an observer is inherently centric. Whatever information is being received, it is coming from a distance toward the observer. That's all an observer sees, and never the receding wave.

I made a similar point, once upon a time, though in a more philosophical setting or context. And I had to look through a lot of my old writings to find the references. Generally speaking; a point of view defines a frame of reference, and a sense of proximal and distal space. Toward and away are relative to the point of observation. And always it is that point at infinity which is bringing us information.

So yes; I think you deserve to be in the finals. May the judges treat you kindly.

All the Best,

Jonathan

    Hi Jonathan,

    Thank you so much. You know that I also hold your research in high esteem, and it is the greatest reward for any of us to have like-minded friends "get it."

    I am happy to return the congratulations, and wish you the greatest success in the contest, with your journal, and in all other endeavors.

    All best,

    Tom

    Hi Tom,

    The conversation among you, Michael, and Joy was a very interesting sidebar to the contest. Your finish in the contest was deserved. In other words, you deserve to be bounced around good. :) Just kidding. Congratulations.

    James

      While browsing *The Demon and the Quantum* by Robert Scully and Marlan Scully (good book - recommended)I came across (p. 148)a marvelous quote by George Ellis. Robert Scully relates that at a conference, Ellis was asked: "Do we need quantum mechanics to ensure free will?" Ellis is reported to have answered in a Zen koan-like manner: "On Monday, Wednesday and Friday, I think not. On Tuesday, Thursday and Saturday, I think so."

      Scully used the quote to support his contention that nobody knows " ... is classical chaos enough to provide freedom of choice, i.e., free will?" I think he missed the point of George's reply (which I am going to ask George himself to confirm or deny, in this forum) for the following reason:

      Just a short number of pages prior (pp 130-132), Scully had noted that the quantum eraser proposed by Marlan Scully and Kai Druhl that when published in 1982 'shook the physics community' in the words of Aharonov and Zubairy " ... underscores the statement (that) information is a physical quantity. That is, information is real and the utilization of information is what the quantum eraser is all about."

      In his figure 9.6, p 131, Scully shows the wavelike correlation between erased potential and detected information (which corresponds to figure 2 in my essay).

      That is the single message of classical chaos, Wheeler delayed choice, and the quantum eraser: Information is real. I think that the opportunity Scully missed is in realizing that George's comment could only have come from a physicist so steeped in relativity that no other answer than "yes" is possible. We need the continuous measurement function equally with discrete quantum detection to have complete information -- and objective knowledge -- of the evolving state. What do you think, George?

      Tom

      22 days later

      Tom,

      Isn't the assumption of an observer-created reality at variance with the original notion of reality as something assumed to exist objectively? For instance, a wave can be observed at effectively the same location by different observers moving relative to the medium with different velocities. It is nonetheless just one wave with one velocity re medium.

      What about singularities, see Fig. 3 of my essay.

      Eckard

        5 days later

        Thanks, Joy! I haven't time to do more than scan it right now. I know I'm going to enjoy it, though. Years ago, I tried to follow the periodic newsletter on spinors/twistors that Roger Penrose published (perhaps still does)-- like so much of Sir Roger's work, for me, I found it tough going.

        I have found your approach to classical orientation entanglement, geometry and topology much closer to my own understanding of the subjects.

        Best,

        Tom

        I'm not ignoring you, Eckard. It's just that I don't have LaTex installed on my work computer and I want to use mathematical symbols. Time at my home computer has been very limited lately.

        In the interim:

        Yes, of course, I agree that reality is objective and local. I'll deal with the question of observer-wave correlation in my formal reply later. (Much of the answer is informally addressed in my essay.)

        In re your figure 3: I think one has to see Dedekind's "pebble like" notion of number in the context of Dedekind Cuts. In that, for example, there do exist two numbers that when multiplied together produce sqrt2. We don't know what these numbers are, and we are unlikely to ever know what they are -- but we can know, by explicit construction, that they exist.

        Dedekind's and Weyl's work on the Continuum is some of the deepest in mathematics (and something I have studied extensively), and I can't do justice to it here. I will venture to say, however, that I don't think that there is a *real* distinction between mathematical structures and physical reality, although in experimental science there is a very sharp and practical demarcation. So in this respect, I agree with Max Tegmark in the reality of mathematical continuity with physical phenomena -- though at the same time I am compelled to address all the nonsense written that identifies Tegmark's view as Platonic. True Platonism posits an ideal world independent of our physical reality (consider Plato's allegory of the cave). Tegmark's hypothesis is of a mathematical world identical to our physical reality.

        If we speak simply of mathematical realism and leave Plato out of it -- we get a constructivist philosophy supported by eminent 20th century mathematicians whose work either strongly relates to, or is based in, physics. Not only Dedekind and Weyl, but Brouwer, Weierstrass, Poincare and others. Not a bad club to belong to.

        Tom

        Tom,

        While I agree with you on that reality isn't observer-created, I would like to more elaborate Robert McEachern's view. Concerning the uncertainty relation between time and frequency I gave results of MATLAB simulations in my previous essays.

        You know, my understanding of reality differs from yours. To me the reality is a belief in objective relationships including causality and the possibility to be influenced or to influence in principle. It is not necessarily a belief in something constructed that can be reduced to binary pairs.

        What about your trust in mathematics as basic to anything, please look at my Fig. 4 that illustrates how modern (introduced by Weierstrass, Dedekind, and G. Cantor) mathematics differs from logic.

        Eckard

        "You know, my understanding of reality differs from yours. To me the reality is a belief in objective relationships including causality and the possibility to be influenced or to influence in principle. It is not necessarily a belief in something constructed that can be reduced to binary pairs."

        You're right, Eckard -- objective science doesn't have anything to do with personal belief in my world. The binary relation (bit) is that which constructs, not that which is derived from a construction necessitating the axiom of choice (Zorn's lemma); it's the most fundamental relation, as Wheeler allows, in nature as well as in mathematics. As a general law, I find (as my essay instructs) that the irreducible binary relation is exactly equivalent to the relation between a pair of odd primes of any magnitude. In other words, a pair (P_1, P_2) are inequivalent in any respect except mod 2.

        The whole story follows in the attachment.

        TomAttachment #1: Buridans_Principle_and_the_point_at_infinity.pdf

        Tom,

        I see your arguments presented in a horribly confusing manner and also most likely wrong.

        In your "Buridan's Principle and the point at infinity" you wrote: t goes to infinity. You introduced "(x,y) variables are either fixed or fluctuating values of a continuous range. In other words, the car (x) at time t and the tree (y) at time t..." This is not understandably explained to me.

        You referred to Wheeler: "The binary relation (bit) is that which constructs, not that which is derived from a construction necessitating the axiom of choice (Zorn's lemma); it's the most fundamental relation, as Wheeler allows, in nature as well as in mathematics."

        I consider this idea wrong, no matter whether or not you accepts AC. I see Euclid's abstraction to the notion unity the basis of mathematics and any repetition of this operation already belonging to the level of abstraction in my Fig. 1. Accordingly there is obviously no exact equality in reality, and trichotomy is something artificial that decouples mathematics from logics.

        What about Planck's constant h, I don't see it necessarily related to the uncertainty principle which is also valid for time and frequency. Plank's constant is just a factor of proportionality that relates position to momentum.

        Eckard

        a month later

        Tom,

        "Do you know what you mean by that? I don't. In the conservation of angular momentum in a spinning object, the central point is fixed -- the speed of points equidistant from that point vary evenly from the origin to the extremus. That is, like an ice skater drawing her arms in to spin faster and extending them to slow -- the difference between fast and slow is conserved as a unitary function. It isn't the inertial motion outward that increases local energy (and therefore temperature), but the true centrepital force inward that does so. When I was 12, I had an old Cushman motor scooter to deliver my paper route, which had a centrifugal clutch -- I must have taken that old scooter apart and reassembled it a dozen times in this short carefree part of my life -- the clutch works by expanding its spring-attached pads to the drum lining. When the pads are spinning fast enough -- driven by the energy input from the motor controlled by my hand operating the accelerator -- they contact the lining and transfer part of the force from the heat-generating friction of the lining to the wheel connected to the clutch, and the scooter ... scoots. It should be easy to see that it's not the centrifugal momentum that powers the scooter; it's the energy of the friction lining, stored and then transferred to produce what we call work, with the greater part of the energy content dissipated. Were the lining frictionless, no energy could be directed, no temperature created."

        I did grow up on a farm, I do understand the physical effect.

        The point is what is the spin in relation too? Is it in relation to other points of reference? For one thing, it's not about energy conserved as diameter of the object changes. This would just be a stable system. The energy is in the spin. Say that object is out in normal interstellar space. We can tell it is spinning relative to the other stars, that give us a fixed background. A piece breaks loose and is thrown out in the direction of momentum at the point it breaks free. Is this due to those other stars giving a stable frame, or is there a stable frame anyway? If those stars were not visible, didn't exist, so there would be NO point of OUTSIDE reference to determine the spin, would this affect whether the object is spinning and thus the velocity and direction of the piece that came loose?

          Tom,

          Ok. Let's not call it space, let's call it an unbounded frame of reference. It has no physical markers. You are on a merry-go-round, or rather the spacestation from 2001 A Space Odyssey. Presumably you would be able to tell how fast it is spinning relative to that frame, by the G forces, not by any reference to outside points.

          So what is that frame, if it has virtually no other physical property than what the spin is relative to? What is this frame derived from? Algebra? Geometry? Space?

          John,

          "Let's not call it space, let's call it an unbounded frame of reference."

          I'm afraid that's what space is. Add boundary conditions and you can call it geometry.

          "It has no physical markers. You are on a merry-go-round, or rather the spacestation from 2001 A Space Odyssey. Presumably you would be able to tell how fast it is spinning relative to that frame, by the G forces, not by any reference to outside points."

          No you couldn't. This was the whole point of Einstein's elevator gedanken experiment -- that one cannot determine whether one, colloquially speaking, is being pulled up or pushed down, in the absence of an external reference.

          "So what is that frame, if it has virtually no other physical property than what the spin is relative to? What is this frame derived from? Algebra? Geometry? Space?"

          Pick one, or all three. Or a method yet to be invented. What is clear though, John, is that you are innocent of how classical physics works. I promise that if you study it, you will be rewarded with insights that not only answer your questions, but lead you right to the edge of the cliff overlooking the truly deep questions.

          Tom