de Sitter relativity: a natural scenario for an evolving Lambda

TL;DR

This paper derives a scale-invariant dispersion relation in de Sitter special relativity, proposing it as a natural framework for an evolving cosmological constant consistent with current observations and a cyclic universe model.

Contribution

It introduces a simple, scale-invariant dispersion relation in de Sitter relativity applicable at all energy scales, linking it to an evolving Lambda and cyclic universe scenarios.

Findings

Dispersion relation is formally similar to special relativity.

Supports an evolving cosmological constant consistent with observations.

Aligns with conformal cyclic universe models.

Abstract

The dispersion relation of de Sitter special relativity is obtained in a simple and compact form, which is formally similar to the dispersion relation of ordinary special relativity. It is manifestly invariant under change of scale of mass, energy and momentum, and can thus be applied at any energy scale. When applied to the universe as a whole, the de Sitter special relativity is found to provide a natural scenario for the existence of an evolving cosmological term, and agrees in particular with the present-day observed value. It is furthermore consistent with a conformal cyclic view of the universe, in which the transition between two consecutive eras occurs through a conformal invariant spacetime.