Doubly Special Relativity with a minimum speed and the search for a quantum gravity at low energies

TL;DR

This paper proposes a modified relativity theory incorporating a universal minimum speed, breaking Lorentz symmetry, to explore quantum gravity effects at low energies through a new space-time symmetry principle.

Contribution

It introduces a novel symmetry principle with a minimum speed, leading to a modified relativistic dynamics that connects to quantum gravity at low energies.

Findings

A minimum speed related to the Planck length is proposed.

Lorentz symmetry is broken by a preferred frame.

Implications for quantum gravity at accessible energies are discussed.

Abstract

This research aims to consider a new principle of symmetry in the space-time by means of the elimination of the classical idea of rest including a universal minimum limit of speed in the subatomic world. Such a limit, unattainable by the particles, represents a preferred inertial reference frame associated with a cosmological background field that breaks Lorentz symmetry. So there emerges a modified relativistic dynamics with a minimum speed related to the Planck length of the early universe, which leads us to search for a quantum gravity at low energies.