A new perspective on Doubly Special Relativity

TL;DR

This paper proposes a new approach to Doubly Special Relativity where deformation affects only particle interactions, avoiding inconsistencies and preserving the standard energy-momentum relation.

Contribution

It introduces a novel perspective that restricts deformation to interactions, resolving previous inconsistencies in Doubly Special Relativity models.

Findings

Deformation affects only particle interactions, not free particles.

The standard energy-momentum relation remains unchanged.

Resolves inconsistencies in previous formulations.

Abstract

Doubly special relativity considers a deformation of the special relativistic kinematics parametrized by a high-energy scale, in such a way that it preserves a relativity principle. When this deformation is assumed to be applied to any interaction between particles one faces some inconsistencies. In order to avoid them, we propose a new perspective where the deformation affects only the interactions between elementary particles. A consequence of this proposal is that the deformation cannot modify the special relativistic energy-momentum relation of a particle.