De Sitter Relativity and Cosmological Principle

TL;DR

This paper revises De Sitter Relativity to incorporate cosmological expansion, re-examines supernova data, and explores implications for dark matter and fundamental constants within a new formalism.

Contribution

It introduces a revised formalism of De Sitter Relativity that allows for cosmological expansion and analyzes its implications for current cosmological observations.

Findings

Revised supernova data analysis with new formalism

Estimated cosmological parameters within this framework

Identified a new fundamental constant related to acceleration and dark matter

Abstract

The formalism of Fantappie-Arcidiacono Projective General Relativity - also known as De Sitter Relativity - has recently been revised in order to make possible cosmological models with expansion, similarly to ordinary Fridman cosmology formulated within the context of General Relativity. In this article, several consequences of interest in the current cosmological debate are examined and discussed in a semiquantitative manner. Specifically: re-examination of the Supernova Project results using this new formalism, with a new estimate of the cosmological parameters; the ordinary matter to dark matter densities ratio; the existence of a new fundamental constant having the dimensions of an acceleration and its relation with dark matter.