Recent content by arivero

  1. arivero

    Graduate α as angular rigidity of the electron: references?

    I think you could benefit of reading "§ 1. Die Keplersche Ellipse in der Relativitatatheorie." as a initiation to alpha, and then the discussions about how lucky was Sommerfeld having the atom right even when ignoring Spin; it is said that somehow two algebraic issues cancelled out.
  2. arivero

    Graduate What is new with Koide sum rules?

    Linking the question of Pavani with mine, the point is that here there is a fine thread for Mathematics that somehow is not fully exposed in online forums: to characterise the solutions of permutation invariant equations Q(x_1,x_2,...x_n)=0. Markov's x^2 + y^2 + z^2 - K x y z = 0 have been...
  3. arivero

    Graduate What is new with Koide sum rules?

    they are a lot of elegant results that are just generic of the theory of quadrics. Basically it is possible, except for the integrality, to repreoduce all the symmetries of https://en.wikipedia.org/wiki/Markov_number Markow trees of tuples, find the critical coefficient where the atractor of the...
  4. arivero

    Graduate The wrong turn of string theory: our world is SUSY at low energies

    Reviewin the old ideas I think that https://arxiv.org/abs/hep-ph/0606171, the point where Hans' work is enhanced to include the higgs and the electroweak vacuum, should really go here as low energy string theory. Had you thought about this in the last 20 years?
  5. arivero

    Graduate What is new with Koide sum rules?

    Actually three :oldbiggrin: Mine was removed because just resending now causes an autodelete, even if the resend includes doi and journal. It is a sort of peak surely caused by the AI leverage, but still funny.
  6. arivero

    Graduate What is new with Koide sum rules?

    Time ago the hard printed edition of the pdf had a last page with an illustration of how the measures had evolved across editions. Remembering that, I have setup a similar evolution for the Koide tuples https://arivero.github.io/pdghist/predictions.html
  7. arivero

    Graduate What is new with Koide sum rules?

    It could be interesting to invite them to the thread. I do not see traces of a larger field theory program, here the most advanced thing is still imo the series of suggestions by Mitchell on the sBootstrap thread. Shulga idea is intriguing but im not sure if it is not a trick settting h=\hbar...
  8. arivero

    Graduate What is new with Koide sum rules?

    funny mine was removed without notice two hours later, but good that at least other two preprints passed the moderation. And now I feel bad about admonishing other author via email against trying to derive the 2/9 beyond phenomenological fitting.
  9. arivero

    Graduate What is new with Koide sum rules?

    Ah at least @CarlB scores a new citation :-) Now that the letter is finally out into an issue, let me do some extra comments. It was purposely short in order to avoid referral headaches; actually the referral process was very helpful. Besides the RG run in the paper, I did some others...
  10. arivero

    Graduate What is new with Koide sum rules?

    well, it is the inverse of a mass matrix. One could rewrite \frac{m_s m_b + m_d m_b + m_d m_s}{\left(\sqrt{m_s m_b} + \sqrt{m_d m_b} + \sqrt{m_d m_s}\right) ^2 } = \frac 23 and the terms here are sometimes called the eigenvalues of "Adj M", where the so-called "adjunctor" is basically the...
  11. arivero

    Graduate What is new with Koide sum rules?

    Ok it has PLB doi now, https://doi.org/10.1016/j.physletb.2026.140510 so here it is, the inverse koide tuple It was due to the insistence of Mitchell in the other thread, about using Seiberg duality. Asking that to Claude it as usual skipped the hard math and instead "reinterpreted" the...
  12. arivero

    Graduate New symmetry principles and anomalies

    I am reading again the paper on Reading again the papers, yes, it is amusing how much space Choi–Lam–Shao use for U(1) ABJ compared to pion decay. Also, as they only use one generation, there is no eta, so they can not discuss the coincidence between eta -> gamma gamma and pi0 -> gamma gamma...
  13. arivero

    Graduate The wrong turn of string theory: our world is SUSY at low energies

    @ChrisF I think the idea of "because 3 dimensions" is the older in the board, and still one needs to explain how. I did the attempt via quantisation ambiguity in two, not, three, arxiv notes and the last one was, reasonably, moved out of hep-th (https://arxiv.org/pdf/hep-th/9804169...
  14. arivero

    Graduate Seiberg Duality (or dualities)

    the old website has a lost link, fortunately on archive https://web.archive.org/web/20141014035926/http://www.physics.uc.edu/~argyres/661/susy1996.pdf I think weinstein should has been more active in internet forums and that would help his memory. I can not accurately remember 2005 anymore...
  15. arivero

    Graduate The wrong turn of string theory: our world is SUSY at low energies

    Looking at the references in Sannino's, it seems a lot of people has attempted a dual standard model.