Популярно о конечной математике и ее интересных применениях в квантовой теории

Dear Professor Saleur,

You rejected my paper with the motivation that it falls outside the scope of NPB. This motivation is not clear to me. You are the editor responsible for QFT and mathematical physics. The main result of the paper (obtained for the first time) is fundamental even for quantum theory itself i.e. even regardless of applications. It is fundamental not only for cosmology but even for particle physics, and the paper can be also treated as a mathematical physics paper. As noted even in the abstract, physicists usually understand that physics cannot (and should not) derive the values of c and ћ but they usually believe that physics should derive the value of Λ. Physicists often believe that “fundamental” Λ is zero and so QFT can start from Poincare symmetry. They also believe that even if Λ is not zero then it is so small that de Sitter symmetry is not important in particle physics.

As shown in the paper, Λ is meaningful only in semiclassical approximation while on quantum level one should work with the parameter of contraction from dS or AdS algebras to the Poincare algebra R. The main result of the paper is that R is fundamental to the same extent as c and ћ. Therefore de Sitter symmetry is not emergent but is more fundamental than Poincare symmetry. This has several fundamental consequences. I tried to make the paper as short as possible and for this reason I discussed mainly consequences for the dark energy problem because this problem attracts a lot of attention and has been discussed in particular in NPB (for example in A.M. Polyakov. B 834, 316 (2010)). At the same time, as shown, for example in [8], irreducible representations (IRs) of the dS algebra considerably differ from IRs of the Poincare algebra. In particular, in dS IRs a particle and its antiparticle belong to the same IR. Therefore the very notion of particle and its antiparticle is only approximate and even electric charge is not strongly conserved. One IR of the dS algebra splits into IRs of the Poincare algebra for a particle and its antiparticle in the limit R→∞.

For me it is rather strange that famous Dyson's paper "Missed Opportunities" appeared in 1972 but physicists still believe that fundamental theories should be based on Poincare symmetry. I hope that my paper can change this situation.

I could agree that maybe it was desirable to discuss applications to QFT in greater extents but I believe that it is obvious that the main result is fundamental even for QFT and particle theory. Also, NPB publishes many mathematical physics papers. Of course if the paper is sent for review I will take into account referee recommendations. I hope that in view of the above remarks your decision may be reconsidered. Another possibility is that I revise the paper such that it contains the same main result but applications are discussed in greater extent. May I hope that in that case the paper will be sent for review? Is it possible that NPB will invite me to submit such a paper? Let me note that the paper is in arXiv: https://arxiv.org/abs/1905.02788

Thank you.

Sincerely, Felix Lev.