A note on DSR

TL;DR

This paper explores the physical interpretation of Deformed Special Relativity (DSR), proposing that it has relevance in large-distance limits and can be derived from gravitational effects on particles, linking it to the Girelli-Livine formalism.

Contribution

It provides a physical derivation and interpretation of DSR based on gravitational effects, connecting it to the Girelli-Livine formalism and 5D spacetime.

Findings

DSR can be physically relevant at large distances.

Gravitational slowing down of time influences particle dynamics.

The Girelli-Livine DSR formalism has a concrete physical basis.

Abstract

I study the physical meaning of Deformed, or Doubly, Special Relativity (DSR). I argue that DSR could be physically relevant in a certain large-distance limit. I consider a concrete physical effect: the gravitational slowing down of time due to the gravitational potential well of a massive-particle, and its effect on the dynamics of the particle itself. I argue that this physical effect can survive in a limit in which gravitation and quantum mechanics can be disregarded, and that taking it into account leads directy to the Girelli-Livine DSR formalism. This provides a physical interpretation to the corresponding 5d spacetime, and a concrete physical derivation of DSR.