Doubly-Special Relativity

  title={Doubly-Special Relativity},
  author={Giovanni Amelino-Camelia},
  journal={International Journal of Modern Physics D},
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. 
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
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.,
The Box-Problem in Deformed Special Relativity
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
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
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
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
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
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


Relativity in space-times with short distance structure governed by an observer independent (Planckian) length scale
I show that it is possible to formulate the Relativity postulates in a way that does not lead to inconsistencies in the case of spacetimes whose short-distance structure is governed by an
Lorentz invariance with an invariant energy scale.
We propose a modification of special relativity in which a physical energy, which may be the Planck energy, joins the speed of light as an invariant, in spite of a complete relativity of inertial
Extending the commutator algebra of quantum κ-Poincare symmetry to the whole of the phase space, and assuming that this algebra is to be covariant under action of deformed Lorentz generators, we
Quantum Gravity: a Progress Report
The problem of reconciling general relativity and quantum theory has fascinated and bedeviled physicists for more than 70?years. Despite recent progress in string theory and loop quantum gravity, a
Tests of quantum gravity from observations of γ-ray bursts
The recent confirmation that at least some γ-ray bursts originate at cosmological distances suggests that the radiation from them could be used to probe some of the fundamental laws of physics. Here
Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo
The recent confirmation that at least some gamma-ray bursters (GRBs) are indeed at cosmological distances raises the possibility that observations of these could provide interesting constraints on
Detection of a Cosmic Ray with Measured Energy Well beyond the Expected Spectral Cutoff due to Cosmic Microwave Radiation
We report the detection of a 51-joule (320 +/- 90 EeV) cosmic ray by the Fly's Eye air shower detector in Utah. This is substantially greater than the energy of any previously reported cosmic ray. A
- int
  • Medicine
  • 2004
The cooperation with leading scientists from all fields of research and higher education and ministers for research in Germany and the experience of giving expert advice to the federal and the state governments in Germany were very interesting experiences.
  • Rev. Lett. 88
  • 2002