The cosmological implications of a fundamental length: a DSR inspired de-Sitter spacetime

TL;DR

This paper explores how a fundamental length from Deformed Special Relativity influences de-Sitter spacetime, potentially controlling cosmic acceleration and explaining early universe inflation.

Contribution

It introduces a DSR-inspired de-Sitter model demonstrating the role of a fundamental length in cosmic evolution.

Findings

Fundamental length affects the scale factor behavior.

Deformation can regulate unbounded growth of the universe.

Model accounts for both inflation and current acceleration.

Abstract

We study a de-Sitter model in the framework of a Deformed Special Relativity (DSR) inspired structure. The effects of this framework appear as the existence of a fundamental length which influences the behavior of the scale factor. We show that such a deformation can either be used to control the unbounded growth of the scale factor in the present accelerating phase or account for the inflationary era in the early evolution of the universe.