General Mathematics

    

Finite Mathematics as the Most General (Fundamental) Mathematics

Authors: Felix M. Lev

The purpose of this paper is to explain at the simplest possible level why finite mathematics based on a finite ring of characteristic $p$ is more general (fundamental) than standard mathematics. The belief of most mathematicians and physicists that standard mathematics is the most fundamental arose for historical reasons. However, simple {it mathematical} arguments show that standard mathematics (involving the concept of infinities) is a degenerate case of finite mathematics in the formal limit $ptoinfty$: standard mathematics arises from finite mathematics in the degenerate case when operations modulo a number are discarded. Quantum theory based on a finite ring of characteristic $p$ is more general thanstandard quantum theory because the latter is a degenerate case of the former in the formal limit $ptoinfty$.

Comments: 22 Pages. published in Symmetry vol. 16(10) paper 1340 (2024).

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[v1] 2024-10-11 16:45:09

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