Scale-invariant cosmology in de Sitter gauge theory

TL;DR

This paper introduces a de Sitter gauge theory of gravity that incorporates a fundamental distance scale, leading to a scale-invariant cosmological model that extends traditional cosmology without singularities.

Contribution

It develops a new de Sitter gauge theory of gravity that enforces a fundamental distance limit and aligns with Dirac's scale-invariant gravity, offering a non-singular cosmological framework.

Findings

Proposes a de Sitter gauge theory compatible with a fundamental length scale.

Shows local equivalence to Dirac's scale-invariant general relativity.

Suggests a non-singular extension to standard cosmology.

Abstract

The Planck mass and the cosmological constant determine the minimum and the maximum distances in the physical universe. A relativistic theory that takes into account a fundamental distance limit $\ell$ on par with the fundamental speed limit $c$, is based on the de Sitter extension of the Lorentz symmetry. This article proposes a new de Sitter gauge theory of gravity which allows the consistent cosmological evolution of the $\ell$. The theory is locally equivalent to Dirac's scale-invariant version of general relativity, and suggests a novel non-singular extension of cosmology.