Seeking for the observational manifestation of de Sitter Relativity

TL;DR

This paper explores potential observational effects of de Sitter special relativity, which extends Einstein's theory by incorporating a cosmological constant, but concludes current constraints make such effects undetectable.

Contribution

It investigates the possible observational manifestations of de Sitter relativity and assesses their detectability given current cosmological constraints.

Findings

De Sitter relativity predicts deviations from Lorentz invariance due to spacetime curvature.

Cosmological constant constraints limit the detectability of de Sitter relativity effects.

Current measurements of fine structure constant variations exclude observable impacts of de Sitter relativity.

Abstract

The de Sitter invariant special relativity is a natural extension of the usual Einstein special relativity. Within this framework a generalization of special relativity (SR) for the de Sitter space-time introduces a new length scale $R$, serving an origin of geometrical cosmological constant $\Lambda=3/R^2$. De Sitter relativity predicts the departure from the Lorentz invariance due to spacetime curvature, related to the geometrical cosmological constant. In this paper the possible impact of de Sitter special relativity effects on threshold particle processes and equivalence principle violation is considered. The main conclusion is that constraints, coming from cosmological fine structure constant variations render this effects nowadays undetectable. A brief outlook is given thereafter.