The Fundamental Equations of Point, Fluid and Wave Dynamics in the De Sitter-Fantappie-Arcidiacono Projective Relativity Theory

TL;DR

This paper reviews and simplifies the fundamental equations governing point particles, fluids, and waves within the De Sitter-Fantappie-Arcidiacono projective relativity framework, enhancing understanding of their physical implications.

Contribution

It provides a clearer and more in-depth analysis of the fundamental equations in De Sitter relativity, improving upon previous formulations.

Findings

Simplified derivations of key equations

Deeper analysis of physical meanings

Enhanced clarity in the theoretical framework

Abstract

A review is presented of the fundamental equations of point, perfect incompressible fluid and wave dynamics in the Fantappie-Arcidiacono theory of projective relativity, also known as De Sitter relativity. Compared to the original works, some deductions have been simplified and the physical meaning of the equations has been analyzed in greater depth.