Some comments on the universal constant in DSR

TL;DR

This paper discusses the role of universal constants in Deformed Special Relativity, proposing a shift from the Planck mass to the Newton constant G to address foundational issues.

Contribution

It introduces a novel perspective by suggesting the Newton constant G as the universal constant in DSR, challenging the conventional focus on the Planck mass.

Findings

Proposes G as the universal constant in DSR

Addresses fundamental problems like the soccer ball problem

Suggests a shift in the conceptual framework of DSR

Abstract

Deformed Special Relativity is usually presented as a deformation of Special Relativity accommodating a new universal constant, the Planck mass, while respecting the relativity principle. In order to avoid some fundamental problems (e.g. soccer ball problem), we argue that we should switch point of view and consider instead the Newton constant $G$ as the universal constant.