Space-time structure in the microcosm and its relation to the properties of elementary particles

TL;DR

This paper explores the hidden symmetries in a six-dimensional pseudo-Euclidean space and their connection to fundamental quantum properties of elementary particles, revealing new insights into particle characteristics.

Contribution

It establishes a link between hidden symmetries in higher-dimensional space and conserved quantum properties of particles using spinors and hyperbolic complex numbers.

Findings

Identifies hidden symmetry groups related to particle quantum numbers

Predicts the exact number of quark properties such as color and flavor

Connects space-time symmetries with particle characteristics

Abstract

The relations between the hidden symmetries of the six-dimensional pseudo-Euclidean space with signature (+++ -- ) and the conserved quantum characteristics of elementary particles is established. The hidden symmetries are brought out by the various forms of representation of the pseudo-Euclidean space metric with the aid of spinors and hyperbolic complex numbers. Using the emerging hidden symmetry groups one can disclose such conserved quantum characteristics as spin, isospin, electric and baryon charges, hypercharge, color and flavor. One can also predict the exact number of such conserved quantum characteristics of quarks as color and flavor.