# Doubly-Special Relativity

@article{AmelinoCamelia2002DoublySpecialR, title={Doubly-Special Relativity}, author={Giovanni Amelino-Camelia}, journal={International Journal of Modern Physics D}, year={2002} }

I give a short non-technical review of the results obtained in recent work on "Doubly Special Relativity", the relativistic theories in which the rotation/boost transformations between inertial observers are characterized by two observer-independent scales (the familiar velocity scale, $c$, and a new observer-independent length/momentum scale, naturally identified with the Planck length/momentum). I emphasize the aspects relevant for the search of a solution to the cosmic-ray paradox.

## 226 Citations

DOUBLY-SPECIAL RELATIVITY: FIRST RESULTS AND KEY OPEN PROBLEMS

- Physics
- 2002

I examine the results obtained so far in exploring the recent proposal of theories of the relativistic transformations between inertial observers that involve both an observer-independent velocity…

Large-scale nonlocality in “doubly special relativity” with an energy-dependent speed of light

- Physics
- 2003

There are two major alternatives for violating the (usual) Lorentz invariance at large (Planckian) energies or momenta—either not all inertial frames (in the Planck regime) are equivalent (e.g.,…

Five-Dimensional Mechanics as the Starting Point for the Magueijo-Smolin Doubly Special Relativity

- Physics
- 2011

The Box-Problem in Deformed Special Relativity

- Physics
- 2009

We examine the transformation of particle trajectories in models with deformations of Special Relativity that have an energy-dependent and observer-independent speed of light. These transformations…

DOUBLE SPECIAL RELATIVITY WITH A MINIMUM SPEED AND THE UNCERTAINTY PRINCIPLE

- Physics
- 2012

The present work aims to search for an implementation of a new symmetry in the spacetime by introducing the idea of an invariant minimum speed scale (V). Such a lowest limit V, being unattainable by…

Relativistic thermodynamics with an invariant energy scale

- Physics
- 2009

A particular framework for quantum gravity is the doubly special relativity (DSR) formalism that introduces a new observer independent scale, the Planck energy. Our aim in this paper is to study the…

Deformed special relativity as an effective theory of measurements on quantum gravitational backgrounds

- Physics
- 2006

In this article we elaborate on a recently proposed interpretation of deformed special relativity (DSR) as an effective measurement theory in the presence of non-negligible (albeit small) quantum…

Scale-invariant cosmology in de Sitter gauge theory

- Physics
- 2021

The Planck mass and the cosmological constant determine the minimum and the maximum distances in the physical universe. A relativistic theory that takes into account a fundamental distance limit l on…

Granular universe: statistical origin of special and doubly special relativity

- Physics
- 2013

We present a new theoretical evidence that a relativistically invariant quantum dynamics at large enough space-time scales can be derived from two inter-correlated genuinely non-relativistic…

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