Doubly Special Relativity: A New Relativity or Not?

TL;DR

Double Special Relativity theories, which incorporate the Planck length alongside light speed, are shown to be re-descriptions of Einstein's special relativity rather than fundamentally new theories.

Contribution

The paper demonstrates that Double Special Relativity theories do not introduce new physics but are equivalent to Einstein's special relativity in different coordinate systems.

Findings

Double Special Relativity is not a new theory but a coordinate re-description.

These theories do not alter the core principles of special relativity.

They are characterized by two observer-independent scales, but are mathematically equivalent to Einstein's relativity.

Abstract

Double Special Relativity theories are the relativistic theories in which the transformations between inertial observers are characterized by two observer-independent scales of the light speed and the Planck length. We study two main examples of these theories and want to show that these theories are not the new theories of relativity, but only are re-descriptions of Einstein's special relativity in the non-conventional coordinates.