Modified Klein-Gordon-Fock equations based on one-dimensional chaotic dynamics and groups with broken symmetry

TL;DR

This paper derives modified Klein-Gordon-Fock equations from one-dimensional chaotic dynamics, introduces new concepts like m-exponential maps and groups with broken symmetry, and explores a system of bitrial orthogonal functions.

Contribution

It presents a novel derivation of modified equations based on chaotic dynamics and introduces new mathematical concepts such as m-exponential maps and groups with broken symmetry.

Findings

Derived modified Klein-Gordon-Fock equations from chaotic dynamics

Introduced the concept of m-exponential map and groups with broken symmetry

Analyzed a system of bitrial orthogonal functions

Abstract

Modified Klein-Gordon-Fock equations were obtained on the basis of one-dimensional chaotic dynamics. The original Lagrangians were found. The concepts of \textit{m}-exponential map and groups with broken symmetry are introduced. A system of bitrial orthogonal functions is considered.