The spin degree of freedom from observer’s mathematics point of view

Boris Khots; Dmitriy Khots

doi:10.1117/12.2567105

20 August 2020 The spin degree of freedom from observer’s mathematics point of view

Boris Khots, Dmitriy Khots

Proceedings Volume 11470, Spintronics XIII; 114703W (2020) https://doi.org/10.1117/12.2567105
Event: SPIE Nanoscience + Engineering, 2020, Online Only

Abstract

This paper considers spin - j representation of the Lie group SU(2) and its applications to contemporary physics from Observer's Mathematics point of view (see www.mathrelativity.com). This mathematics was introduced by authors based on denial of infinity idea. We proved here the following. Theorem. In Observers Mathematics the probability of spin - j transformation is a homomorphism (representation) of SU(2) to the set of matrix transformations of a linear space of polynomial functions is less than 1. Theorem. The probability of elementary fermions have half-integer spin in Observer's Mathematics is less than 1. The probability of elementary bosons have integer spin in Observer's Mathematics is less than 1.

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Boris Khots and Dmitriy Khots "The spin degree of freedom from observer’s mathematics point of view", Proc. SPIE 11470, Spintronics XIII, 114703W (20 August 2020); https://doi.org/10.1117/12.2567105

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