Abstract
Following the results of our publications, in the first part of this letter, we explain that quantum theory based on finite mathematics (FQT) is more general (fundamental) than standard quantum theory based on Poincaré invariance. Standard concept of particle-antiparticle is not universal because it arises as a result of symmetry breaking from FQT to standard quantum theory based on Poincaré or standard anti-de Sitter symmetries. In FQT one irreducible representation of the symmetry algebra describes a particle and its antiparticle simultaneously, and there are no conservation laws of electric charge and baryon quantum number. Poincaré and standard anti-de Sitter symmetry are good approximations at the present stage of the universe but in the early stages they cannot take place. Therefore, the statement that in such stages the numbers of baryons and antibaryons were the same, does not have a physical meaning, and the problem of baryon asymmetry of the universe does not arise. Analogously, the numbers of positive and negative electric charges at the present stage of the universe should not be the same, i.e., the total electric charge of the universe should not be zero.
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ACKNOWLEDGMENTS
The idea to write this paper has arisen as a result of my numerous discussions with Vladimir Karmanov and his constructive criticism. He also has pointed out to me that one of the possibilities for explaining the BAU problem is to involve the Poisson distribution. I am also grateful to anonymous referees for important remarks. They helped me understand how the article can be perceived by physicists.
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Felix Lev The Concept of Particle-Antiparticle and the Baryon Asymmetry of the Universe. Phys. Part. Nuclei Lett. 18, 729–737 (2021). https://doi.org/10.1134/S1547477121070104
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DOI: https://doi.org/10.1134/S1547477121070104