About revolutionizing Physics

The FQXi contests provide some topics to discuss which I always find interesting, and I like to engage in exchanges about the main theme. Every time the contest is announced, a warning like the following is made "While this topic is broad, successful essays will not use this breadth as an excuse to shoehorn in the author's pet topic, but will rather keep as their central focus the theme of the contest." But one of the central attractions of this contest are everyone's foundational views, particularly those pet theories. And I agree that the rule is not to avoid them, but to focus on the theme, so if your pet topic is relevant to addressing the questions of the contest, then of course it should be there. I do this, in my essays I talk about my work, as long as it is relevant to the topic. Otherwise I prefer the standard platforms, which are publishing peer reviewed articles, and attending conferences.

There are some recurrent such "pet topics" though, which usually don't find their way in good peer reviewed journals and conferences. They usually deal with disproofs of the theory of relativity, or of essential aspects of quantum mechanics. These theories are considered well-verified and solid by most physicists, so this is why they don't spend time indefinitely discussing them. It is not that they are brainwashed, it is just that they spend much more time with these theories, they know how well are tested, they did countless times the mathematics, and they know how well they explain the world from a small number of basic assumptions.

I am a strong supporter of the idea that we should come back from time to time to question each of the basic assumptions of our theories, but at the same time we can't discuss the same arguments over and over, we also need to advance. To be more specific, I confess that as a kid, when I first read about relativity and quantum mechanics, I was very shocked, and I tried to find a more acceptable explanation for both of them. I turned them upside down in many ways, trying to figure out how I can get the same experimental results out of less shocking or less counterintuitive principles. I'm not ashamed of it, in fact I recommend it to be done by every future researcher. I consider that one should question everything. Of course, this is not feasible nowadays, because there's so much to learn, and if you want to do research, you need to progress very quickly with your understanding. But I still think it is necessary to start by questioning everything, and you should never stop.

Now here is a trap though, because sometimes you get caught in a loop in this process. You may end out spending your entire life trying to disprove "mainstream" physics, motivated by a wrong vision. To get out of this circle, you need to question not only the standard assumptions, but also your own. But it is tempting not to do this, because what could be more gratifying than disproving Einstein or at least quantum mechanics? People endowed with brilliant minds, with great critical thinking when dealing with other areas where they didn't bet as much, can get caught in this trap. I won't say they should do something better, because I consider as fundamental ethical principle that everyone should be allowed to have their best experiences, and working at really important things is one of them.

I had my share of such discussions of the foundations, where I was in the position to play the role of the "defender of the status-quo". Actually I didn't see myself like this, I was under the impression that we discuss honestly about some ideas, no matter how well-established they are considered. So I tried to explain why relativity works, why quantum mechanics is as it is and is not classical. Let me make a parallel: imagine you invented a mechanical device that would give you energy for free, by spinning forever. You know you can't discuss this with physicists, because they would say that the energy is conserved, period. And they are right. But I also know that by trying to explain why various perpetual motion devices didn't work, sometimes in the history we arrived at better understanding of physics. They still didn't work, but at least there was a gain. So I used to allow myself to engage in such discussions, in the idea that I can help a person escape this prison, and learn something in the process. But it was pointless, there was never a gain. And when people try to refute Bell's theorem the things are even clearer. While we can still imagine the possibility that energy is violated, considering that our theories are an approximation of the true physics, with Bell's theorem the things are different. Because Bell's theorem is a theorem. Trying to refute it is like trying to find in Euclidean geometry a right triangle which violates Pythagoras's theorem. It is simply impossible. Now, I'm not quantum police to try to show everyone's how illegal is to violate a theorem, but I just no longer want to be part of such discussions, because I have limited time. And I saw tons of disproofs of special relativity and Bell's theorem. A recurrent disproof is to take a very special setup, where Alice and Bob measure the spin along the same axis, and to assume that the two entangled particles have some definite opposite spin directions, not perpendicular to the direction along which Alice and Bob measure, and that instead of Born's rule each spin simply projects to the axis in 3D. To anyone who studied EPR and Bell's theorem is obvious that in this case you get the same result as in classical physics, because it is exactly classical. The real problem, usually not mentioned, is the general case. So limiting to this case doesn't solve the problem, no matter how fancy graphics one makes using a modification of a script I wrote in 2011.

Bell's theorem has a hypothesis, consisting of two assumptions, and a conclusion. The conclusion is an inequality, which is satisfied in classical physics, but not in quantum mechanics. Since our universe is quantum, it means that one of the two assumptions is wrong. The two assumptions are (1) all interactions are local, and (2) the initial conditions of the systems in this game are statistically independent. It is a widespread opinion that condition (1) is violated by nature, but it is also possible that (2) or both are actually violated. So while there are still many quantum theorists who claim it makes no sense to discuss what happens with a particle between measurements, some of us want to know. And if you want to know, you have to choose what to sacrifice, (1) or (2), but it is not possible to save both. Just like it is impossible to have in Euclidean geometry a triangle which violates Pythagoras's theorem, and to maintain that the triangle has a right angle.

The guy with the perpetual motion device may insist that it works, and when proven it doesn't, he may think that he can change this or that and still make it work. Many discussions I've had so far about relativity and quantum mechanics were just like this, as being caught in a loop. This is why I decided years ago to no longer engage in such discussions, with the risk of missing the opportunity to witness the birth of a new revolution in physics. I'd rather spend my time with my own pet theories :) In the foundations of quantum mechanics, I prefer to keep (1) as true, and sacrifice (2) (1, 2, 3, 4, 5).

As for the contest, I see that some essays feature such ideas, and I think it is a good place to discuss them, but I prefer to focus on the part related to the current topic in my feedback, and to evaluate them solely by this.

Success to everyone in this contest, and may we all have enlightening exchanges of ideas!

Cristi

Dear Cristi,

Once again, you wrote a remarkable, original and entertaining Essay. Congrats!

Here are some comments:

1) I did not know the game called number scrabble. It is the clever version of a game that we call "Tris" here in Italy. I will try to play it with my son (who is developing a mathematical mind) in next future.

2) I see that you referred to the arXiv version of your paper "The Standard Model Algebra"(which is the basis of your proposal of holomorphic unification). I downloaded it and I have seen that it is a strong work. Are you planning to publish it in some journal?

3) Concerning the open questions of your model, in general, I do not like the idea of extra dimensions. Instead, it will be intriguing if the complex 6-dimensional vector space really arises from from the geometry of space-time. In that case, I feel that he could really be connected with a geometric unification of the Standard Model with gravity and with gravity quantization.

4) Finally, I find the metaphor of Indra's net very elegant, as well as your whole Essay.

Congrats again and good luck in the Contest.

Cheers, Ch.

    Dear Christian,

    Thank you very much for your very kind comments, and for the really relevant questions. I loved very much your essay as well. About your questions:

    (2) Currently is under evaluation at AACA, which is specialized in Clifford algebras. I submitted previously at some of the top particle physics journals, but it was rejected without review, because "it is too mathematical for our profile" or simply "it doesn't fit our target audience". I've got only one review, which was positive (but the editor rejected it anyway), and the reviewer suggested that my manuscript will be better understood if I submit it to AACA, and if I can present it at a conference they had last summer. I was lucky to get accepted even though the deadline was a few weeks before. I've got positive feedback at some good conferences including the AACA one, some from experts working at GUT or with Clifford algebras.

    (3) I absolutely agree with you, and this is part of the "future plans" I mention in the last section of the paper. I don't assume extra spacetime dimensions, but indeed the Clifford algebra corresponds to a larger complex 6-dimensional space, and this algebra contains the required degrees of freedom for one generation plus gauge fields. So one of the long-term objectives is indeed to derive it from the geometry of spacetime, and I actually made some progress here, obtaining this from geometry. I didn't write a paper about this because at this point I actually found more possibilities, and I try to see which is the most natural, based on as few assumptions as possible. I will be satisfied with the one which will give the Einstein equation with the stress-energy of the SM Lagrangian. Other criteria include, of course, to have not only one generation, but three, and if possible SM parameters like the mixing matrices. And I agree with you about the quantization, for which I have some plans too. I am very motivated by "Herr Doktor"'s dream to obtain everything from geometry :) (and topology).

    (4) Thanks again!

    Best wishes,

    Cristi

    Dear Cristi,

    Thanks for your kind replies.

    Yes, I think that "Herr Doktor"'s dream to obtain everything from geometry is the most fascinating thing of Science. I wish you good luck also for the AACA submission.

    Cheers, Ch.

    Dear Christian,

    Thank you very much, I wish you success with your research too!

    Cheers,

    Cristi

    Dear Fellow Essayists

    This will be my final plea for fair treatment.,

    Reliable evidence exists that proves that the surface of the earth was formed millions of years before man and his utterly complex finite informational systems ever appeared on that surface. It logically follows that Nature must have permanently devised the only single physical construct of earth allowable.

    All objects, be they solid, liquid, or vaporous have always had a visible surface. This is because the real Universe must consist only of one single unified VISIBLE infinite surface occurring eternally in one single infinite dimension that am always illuminated mostly by finite non-surface light.

    Only the truth can set you free.

    Joe Fisher, Realist

    Christi,

    Great conversation on my string, & thanks for your good advice. To reply to your comment above.

    Yes Richard Feynman said he also 'gave up' the search as it was so difficult. But I look at it not as 'making QM classical' but as falsifying John Bell's view that "the founding fathers were wrong on that point.." that it IS classical & he, and we just hadn't found the flaw which would "take a leap of imagination" - and that we "should not stop looking" for it.

    The flaw emerges as the assumption of 'no assumption' about particle pair form or dynamics. They must then assume 'superposed states' which 'can't be rotation'. Testing other models; If they're simply given Maxwell's orthogonal 'curl' as well as (left hand rule thumb) linear momenta, then anti-parallel polar axes, the mist is lifted on the classical explanation (using all 3 degrees of freedom, electron field interaction momentum exchange and known non-linear momentum distributions with field angle.

    I hope anyone else reading this will take a look (also at Declan Trail's code & plot) as we'd like all to rigorously test the model pending publication.

    Back to yours, as my firt post (stolen by the ghosts in the machine) - original, of interest and well written despite the misplaced comment on my string. Well done.

    Best of luck

    Peter

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    Dear Christi,

    very interesting - quite a detailed scenario for unification with many novel ideas. I must admit though there are many things I don't fully understand yet. For example, how is the unification approach via non-Lie-algebras related to the general theme of holographic fundamentalness? I find both ideas intriguing, but so far I can't grasp the relation. Can you help me?

    In any case I'm even more convinced we should get together soon again.

    Best! Heinrich

      Dear Heinrich,

      Thank you for reading my essay and for the kind comments. And also for the excellent question. I hope as well that we will meet again soon and discuss more, maybe at the next DICE conference.

      "how is the unification approach via non-Lie-algebras related to the general theme of holographic fundamentalness?"

      The Clifford algebras are generalizations of the complex number algebra, and the Cauchy-Riemann operator generalizes to the Dirac operator. The Dirac operator is present not only in the spin 1/2 particle equations, but also the Maxwell and Yang-Mills can be formulated using it. But just having all the equations written using the Dirac operator is not enough to guarantee the solution to be holomorphic. For example, the Dirac and Maxwell equations have nonholomorphic solutions. In fact, I didn't define yet what "holomorphic" means in this context, but I have an idea which involves gravity. If the resulting equation which contains the SM and gravity will be as I expect, then it will also guarantee that the solutions are holomorphic. But it's early to say that indeed this will be the case.

      I wish you success with your excellent essay!

      Best wishes,

      Cristi

      Hi Dear Christi

      Your article is written in very attractive style - as every time!

      I have a huge respect to Bohm's approach (despite for me a little bit more valuable De Broglie-Bohm theory!)

      //Holomorphic fundamentalness may be a mathematically consistent basis for holism and the holographic principle, but until we will have the unified theory of physics, it remains an exercise of imagination.// - Your idea seems to me as very reasonable. I believe it may be realized in any of time!

      Meantime I am dared to say that something has gone very wrong in our physics at the far-early beginning (that hardly anybody wish to listen!)

      So, I highly welcome your new work and I wish you succeeding in this contest!

      Best Regards!

        Dear George,

        Thank you very much for your kind comments and for your wishes. I wish you success with the essay (which I am looking forward to read) in this contest!

        Best wishes,

        Cristi

        It is a pleasure for me to see your essay coming on top few. Your mind generates ideas that simplify the geometry of growth of Physics, specially at the fundamental level of Particle Physics. On the other hand we have Cosmology where measurements are difficult , errors are large. How to construct the latter from the former at the fundamental level appears a task the human mind needs to tackle. I am amazed that fundamental particles and their connection to Higg's Boson isproving to be an enigma. Can you throw some light on why we should worry about the mass of the fundamental particles to be explained using Higg's Boson as the source? Fundamental to me means ultimate reality. It can never be approached as things tend to become difficult whenever we tend to get closer to the final solution. Many a times i feel our existing knowledge of Physics retards us to to reach a final end. If it is simple the approach should have freshness , rather than on the historical develoment of the way Physics got developed. That is , Methodology of doing sciences need to be freshened! My query is free of your expertise in Maths as i am deep down with experimental Physics. Maths can assist only in giving precision to present Physics formulations but can not go beyond the experimental facts already known firmly.

          Dear Narendra,

          Thank you! You said:

          > "I am amazed that fundamental particles and their connection to Higg's Boson isproving to be an enigma. Can you throw some light on why we should worry about the mass of the fundamental particles to be explained using Higg's Boson as the source?"

          I consider the masses of particles one of the greatest mysteries. Historically, to get rid of some problems of the weak interaction, such as it being not renormalizable, the electroweak unification was considered and a model was built. This was very nice mathematically, but it didn't explan why the electroweak symmetry was broken into electromagnetic and weak, and why the electron and the weak force bosons had masses. So the idea was of course to add some terms into the Lagrangian. And it turned out that including a scalar field which carries some weak force into the Lagrangian gives the desired symmetry breaking and couples with the particles to give them masses. The field itself has mass, and by coupling for example with the electron, it makes Dirac's equation have a mass term. Metaphorically, it is as if the electron doesn't have mass, but carries with it a part of the Higgs field having mass, to which is coupled by weak interaction. The idea works well, as proven by the discovery of the Higgs boson in 2012. But I believe there is a deeper explanation, which is geometric. If there was no Higgs boson, the Standard Model equations would have been invariant to conformal transformations, that is, changes the unit of length differently at each point. This amounts to multiplying the metric tensor in General Relativity with a function which varies from point to point. If we change the metric like this, the Maxwell equations, but also Dirac's and Yang-Mills, remain the same and their solutions remain the same. But if they have masses, this conformal symmetry doesn't work. So some physicists believe that the Higgs mechanism is in fact due to choosing a unit length at each point of spacetime, breaking thus the conformal symmetry, and there are some results showing that indeed this gives the same result as the Higgs symmetry breaking.

          Best regards,

          Cristi

          Dear Narendra,

          I borrowed the metaphor "Indra's net" to illustrate how the mathematical notion of holomorphic functions have this property that the whole is present in each of its points. Indra's net was mentioned in various Buddhist texts like the Avatamsaka Sutra, and was described in Cook(1977), chapter 1, page 2, in the following way (I mention this in my endnote 7, pages 11-12):

          "We may begin with an image which has always been the favorite Hua-yen method of exemplifying the manner in which things exist. Far away in the heavenly abode of the great god Indra, there is a wonderful net which has been hung by some cunning artificier in such a manner that stretches out infinitely in all directions. Inaccordance with the extravagant tastes of deities, the artificier has hung a single glittering jewel in each "eye" of the net, and since the net itself is infinite in dimension, the jewels are infinite in number. There hang the jewels, glittering like stars of the first magnitude, a wonderful sight to behold. If we now arbitrarily select one of these jewels for inspection and look closely at it, we will discover that in its polished surface there are reflected all the other jewels in the net, infinite in number. Not only that, but each of the jewels reflected in this one jewel is also reflecting all the other jewels, so that there is an infinite reflecting process occurring. The Hua-yen school has been fond of this image, mentioned many times in its literature, because it symbolizes a cosmos in which there is an infinitely repeated interrelationship among all the members of the cosmos. This relationship is said to be one of simultaneous mutual identity and mutual intercausality"

          Best regards,

          Cristi

          What a beautiful explanation to my enquiry? Your ingenuity of detailed analysis is remarkable. Your essay has reached the top three and i wish you reach the top. Geometry and then algebra are the off shoots of Mathematics. You are using these tools efectively in your expositions!

          Hi Cristinel

          Like usual you always write good essays, relevant and direct to the issue. I have pleaded with you in the past to look very closely at mine, but it seems the time is always wrong somehow.

          The reason that I like to look at mine is because it implements your program however it looks unconventional. In my idea every point in space which is as emergent as all other aspects of the fundamental structure caries all information about all other points (which represents the particles and their interaction), and that comes naturally. I have not plotted the points between the particles (not to overcrowd the results) but the information can be captured just like the point in the particles. Thank you.

          https://fqxi.org/community/forum/topic/3127

            Hi Cristi,

            The picture you draw with Indra's net is beautiful and a wonderful exercise for the imagination.

            My essay imagines in a way the contrary. As condition for successfully define or measure a physical property, I assume the system must be separated from the environment (in order to be unitary). I would glad, if you could find the time to read and comment on my essay.

            Best regards,

            Luca