Dear Jonathan,

Studying the question of connection of entropy and gravitation, I found Lorentz-invariant formula for entropy in the book: Fizika i filosofiia podobiia ot preonov do metagalaktik. Perm, 1999, 544 pages. ISBN 5-8131-0012-1. In short the question is described in the book: The physical theories and infinite nesting of matter. Perm, 2009-2012, 858 pages. ISBN 978-5-9901951-1-0 in such way: Using the stress-energy tensors for the substance and the gravitational and electromagnetic fields allows us to write the equations of thermodynamics explicitly in the Lorentz-invariant form. As a result the entropy, the amount of heat, the chemical potential, the work and thermodynamic potentials can be represented as tensor functions of microscopic quantities, including the electric and gravitational field strengths, the pressure and the compression function. This allows us in § 21 to find out the meaning of the entropy as the function of the system state - it is proportional to the ratio, taken with the negative sign, of the absolute value of the ordered energy in the system to the heat energy, which is chaotic by nature. The ordered energy means the energy of directed motion of the substance, the compression energy from pressure and the potential energy of the substance in the gravitational and electromagnetic fields. When the system achieves equilibrium, part of the orderly energy inevitably is converted into thermal form and the entropy obtains a positive increment. I hope it may be interesting for you.

Sergey Fedosin

Jonathan

I agree with your comment above on topology, and extend that to the need for a physical boundary topology for inertial frames, which I offer.

Do let me know if you've read my essay yet as promised, I do look forward to your comments as I'm deluded enough to really believe I've uncovered an astonishing new insight, which I think you amongst not too many will grasps the kinetics of quite quickly. You may also enjoy the superficial touch of theatre.

I also think your own essay deserves to be very much higher and it's slipped in at the top of my score list. Glad you're back in action. Personally I'm nearly essayed to death!

Best wishes

Peter

    Dear Jonathan I enjoyed our discussions on this and my page.

    ---

    Hello. This is group message to you and the writers of some 80 contest essays that I have already read, rated and probably commented on.

    This year I feel proud that the following old and new online friends have accepted my suggestion that they submit their ideas to this contest. Please feel free to read, comment on and rate these essays (including mine) if you have not already done so, thanks:

    Why We Still Don't Have Quantum Nucleodynamics by Norman D. Cook a summary of his Springer book on the subject.

    A Challenge to Quantized Absorption by Experiment and Theory by Eric Stanley Reiter Very important experiments based on Planck's loading theory, proving that Einstein's idea that the photon is a particle is wrong.

    An Artist's Modest Proposal by Kenneth Snelson The world-famous inventor of Tensegrity applies his ideas of structure to de Broglie's atom.

    Notes on Relativity by Edward Hoerdt Questioning how the Michelson-Morely experiment is analyzed in the context of Special Relativity

    Vladimir Tamari's essay Fix Physics! Is Physics like a badly-designed building? A humorous illustrate take. Plus: Seven foundational questions suggest a new beginning.

    Thank you and good luck.

    Vladimir

      After studying about 250 essays in this contest, I realize now, how can I assess the level of each submitted work. Accordingly, I rated some essays, including yours.

      Cood luck.

      Sergey Fedosin

        Hi Jonathan,

        I liked the easygoing flow (play) of your essay that gives a 3D view of what is happening in flatland.

        It is also good to be with you in another essay contest.

        Best of Luck,

        Don L.

          Thanks Don,

          It is my pleasure to be in this contest with you, as well. I am glad you enjoyed my essay, and got that I was playing tour guide about our journey through dimensional space. I hope to read your essay soon, and I wish you great luck too.

          All the Best,

          Jonathan

          Thank you Sergey,

          I appreciate the time taken to read and your input, and I hope to give you the same courtesy soon.

          Regards,

          Jonathan

          Thank You Peter,

          I appreciate your kind remarks. I have started reading your essay several times, and gotten distracted. What I have read looks very interesting. I shall make a special attempt to finish up and comment soon, before the cut off, as you were one of the first to visit my essay and forum page.

          All the Best,

          Jonathan

          A tall order Vladimir!

          Thank you for your kind remarks, regardless.

          I will see how many from your list I can get to in time. The ones I did read were quite interesting. But I have quite a few essays already in my queue. We shall see how quick the time goes.

          Regards,

          Jonathan

          Thank you Hoang Cao Hai,

          As your query is a generic message that relates to your essay content (rather than mine), I shall attempt to address your concerns on your essay's forum - instead of here - assuming I can get to reading it in a timely manner.

          all the best,

          Jonathan

          OK Ben,

          On 1.) the lack of knowledge about what constitutes the dark sector is something several speakers touched on at FFP11. We don't know exactly what dark matter or dark energy is, so cosmologists are taking a lot on faith IMO. And as you note; the scale dependence of dimensionality is important to consider, and suggests a fractal character to spacetime.

          On 4.) yes Twistors are very cool. They address some of the issues you mentioned were raised about points by Grothendieck - on Ian's forum page. They replace points with Rays, as the most fundamental level of structure. I imagine that relates to the concept of causal structure quite explicitly.

          On 7.) a holistic approach is essential to complete understanding, and it offers insight that is complementary to those obtained through reductionist means. And as for the sum over histories; you need to learn more about Feynman's forgotten gem - Hamiltonian Phase Space Path Integrals.

          Basically you are then looking at dynamism straight on, as a Hamiltonian in phase space, rather than working in the kinematic space of the conventional Lagrangian formulation. The cool thing is that this incorporates quantum uncertainty at the outset, but often resolves into a simpler functional integral along the way. I'll look up a paper by Steven Kenneth Kauffmann you should have.

          All the Best,

          Jonathan

          • [deleted]

          Thank you for the post in my essay: I am weak in bibliographic search (I apply the Poincaré method)

          I am reading the article that you suggest, that is true for a simple (oscillator) system, but have the property to maintain the Plank constant (the weak point in my demonstration) in the Hamiltonization.

          I understand that this is a starting point of a possible complete theory, but I share all my ideas because I think that the puzzles are solved combining small pieces of the solution: I shall try to develop more carefully my theory, but it is important that others had, and develop, the same ideas.

          Saluti

          Domenico

            Thank you so much Domenico!

            I think you will find Steven Kauffmann's work excellent. He is obviously brilliant, yet I once helped him to get a paper published, breaking a blockade. There is another paper of his, that focuses on the Hamiltonization procedure. I think he cites that work in the paper I forwarded though.

            I am glad I could help you out, and I wish you the best of luck.

            Regards,

            Jonathan

            Hello All,

            My essay 'Cherished Assumptions and the Progress of Physics' shows how a playful approach to making assumptions yields swifter research progress, which is essential in times where the available knowledge is growing very fast - like the present day. The time lag in the general public, for the adoption of new knowledge from Physics, is apparently about a century.

            But for those on the forefront of scientific research; knowledge is doubling every ten years or less. Obviously, scientists must be more agile in their thinking strategies than the average individual. A conceptual approach is what is needed sometimes, but the fact there is more and more information to be learned means that there is a lot of memorization. It's important to also learn how to think and how to learn.

            Scientific progress is about learning how to learn about the universe better. This is different from trying to learn all the details perfectly. It is all about trying out possible answers and getting the universe to tell you its secrets. Physics is really about how we learn about the universe.

            That's all for now,

            Jonathan

              If you do not understand why your rating dropped down. As I found ratings in the contest are calculated in the next way. Suppose your rating is [math]R_1 [/math] and [math]N_1 [/math] was the quantity of people which gave you ratings. Then you have [math]S_1=R_1 N_1 [/math] of points. After it anyone give you [math]dS [/math] of points so you have [math]S_2=S_1+ dS [/math] of points and [math]N_2=N_1+1 [/math] is the common quantity of the people which gave you ratings. At the same time you will have [math]S_2=R_2 N_2 [/math] of points. From here, if you want to be R2 > R1 there must be: [math]S_2/ N_2>S_1/ N_1 [/math] or [math] (S_1+ dS) / (N_1+1) >S_1/ N_1 [/math] or [math] dS >S_1/ N_1 =R_1[/math] In other words if you want to increase rating of anyone you must give him more points [math]dS [/math] then the participant`s rating [math]R_1 [/math] was at the moment you rated him. From here it is seen that in the contest are special rules for ratings. And from here there are misunderstanding of some participants what is happened with their ratings. Moreover since community ratings are hided some participants do not sure how increase ratings of others and gives them maximum 10 points. But in the case the scale from 1 to 10 of points do not work, and some essays are overestimated and some essays are drop down. In my opinion it is a bad problem with this Contest rating process. I hope the FQXI community will change the rating process.

              Sergey Fedosin

              Dear Jonathan,

              You are right that there is too much to know in science. Yet, your managed to write a well-documented and interesting essay. I appreciate the playful style. I also agree that from time to time at least it is important to try to conceptualize more what we do.

              Good luck,

              Cristi Stoica

              Jonathen

              I hope you may still read, absorb and comment on my essay. I did enjoy yours, and think it deserved a higher place, but this years competition runs deep. None the less a high score from me.

              Best wishes

              Peter

              • [deleted]

              Thank you Peter,

              Your thoughtfulness is appreciated. So that I may finish reading and rating papers all the papers I can, before the cutoff, detailed comments will have to wait. Be assured yours was included in those I read.

              All the Best,

              Jonathan