The Principle of Relativity, Kinematics and Algebraic Relations

TL;DR

This paper explores the framework of kinematics derived from the principle of relativity and invariant constants, revealing their interrelations and implications for cosmic-scale physics.

Contribution

It introduces a unified approach to all possible kinematics using Umov-Weyl-Fock transformations and relates them to de Sitter kinematics.

Findings

All kinematics can be derived from invariant constants and transformations.

Symmetries are interconnected, linking various kinematic models.

Implications for understanding cosmic-scale physics.

Abstract

Based on the principle of relativity and the postulate on universal invariant constants (c,l), all possible kinematics can be set up with sub-symmetries of the Umov-Weyl-Fock transformations for the inertial motions. Further, in the combinatory approach, all these symmetries are intrinsically related to each other, e.g. to the very important dS kinematics for the cosmic scale physics.