2021/08/12 by Seyed Mohammad Fattahi Khaki, Khaki, Seyed Mohammad Fattahi
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Numerical methods for differential equations #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2108.05981
openalex publication_date 2021/08/12 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
As a small step toward understanding the nature of the Higgs field, a curious\nobservation is reported that calculates the mass of the Higgs boson with a 99.7\n% agreement to its experimentally measured value. Particularly, motivated by\nthe desire to avoid infinities, a complex scalar finite field that aims to\ndescribe the Higgs field is proposed as the underlying field of an extremely\nhuge finite group of Lie type. Then, the occurrence of a critical point of the\nphase transition in that finite field is explained, and the mass of its bosons\nis computed employing the Klein-Gordon equation. Next, in a backward analysis,\nto curiously estimate magnificence of that finite group of Lie type, the mass\nof Higgs boson is inputted to the obtained mass relation, and a huge order\nclose to the order of the Monster group is outputted. Supported by such a clue\nas well as the fact that the Monster group is critical among the sporadic\ngroups, it is therefore assumed that the critical order of the corresponding\nsymmetry group (of Lie type), at which its underlying finite field reaches the\ncritical point of a phase transition, is the order of the Monster group. Based\non this assumption, the main observation is reported as MH/MP = D\nm_(q^*)/m2, where MH, MP, m_(q^*), m2, and D, are respectively, the mass of\nHiggs boson, the reduced Planck mass, the mass of bosons of the finite field,\nthe mass of field with two elements, and the number of spatial dimensions which\nperfectly match the central charge (i.e., number of degrees of freedom) in the\nMonster conformal field theory.\n