Physics of Deformed Special Relativity

Abstract

In many different ways, Deformed Special Relativity (DSR) has been argued to provide an effective limit of quantum gravity in almost-flat regime. Unfortunately DSR is up to now plagued by many conceptual problems (in particular how it describes macroscopic objects) which forbids a definitive physical interpretation and clear predictions. Here we propose a consistent framework to interpret DSR. We extend the principle of relativity: the same way that Special Relativity showed us that the definition of a reference frame requires to specify its speed, we show that DSR implies that we must also take into account its mass. We further advocate a 5-dimensional point of view on DSR physics and the extension of the kinematical symmetry from the Poincare group to the Poincare-de Sitter group (ISO(4,1)). This leads us to introduce the concept of a pentamomentum and to take into account the renormalization of the DSR deformation parameter kappa. This allows the resolution of the "soccer ball problem" (definition of many-particle-states) and provides a physical interpretation of the non-commutativity and non-associativity of the addition the relativistic quadrimomentum.

8 pages, short version of gr-qc/0412004, Proceedings of the Second International Workshop DICE2004 (Castello di Piombino, Tuscany) "From Decoherence and Emergent Classicality to Emergent Quantum Mechanics"

References in corpus (4)

• Deformed Special Relativity as an effective flat limit of quantum gravity
• Snyder noncommutative space-time from two-time physics
• Interpreting doubly special relativity as a modified theory of measurement
• Physics of Deformed Special Relativity

Cited by in corpus (26)

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• The principle of relative locality
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• Composite system in noncommutative space and the equivalence principle
• Classical basis for kappa-Poincare algebra and doubly special relativity theories
• The Free Particle in Deformed Special Relativity
• Relative locality and the soccer ball problem
• On the fate of Lorentz symmetry in relative-locality momentum spaces
• Deformed Special Relativity as an effective theory of measurements on quantum gravitational backgrounds
• $\kappa$-Minkowski Spacetimes and DSR Algebras: Fresh Look and Old Problems
• Physics of Deformed Special Relativity
• Dual redshift on Planck-scale-curved momentum spaces
• Study of Lorentz violation in INTEGRAL Gamma-Ray Bursts
• $\kappa -$Minkowski spacetime and a uniformly accelerating observer
• Causality and momentum conservation from relative locality
• Blackbody radiation in κ-Minkowski spacetime
• Density fluctuations in $\kappa$-deformed inflationary universe
• Bibliography of Publications related to Classical Self-dual variables and Loop Quantum Gravity
• Snyder Space-Time: K-Loop and Lie Triple System
• Some comments on the universal constant in DSR
• Non-Commutativity of Effective Space-Time Coordinates and the Minimal Length
• Equilibrium properties of blackbody radiation with an ultraviolet energy cut-off
• A Field Theory Model With a New Lorentz-Invariant Energy Scale
• Total momentum and other Noether charges for particles interacting in a quantum spacetime
• Rainbow's Gravity Corrections to the Black Hole Global Casimir Effect
• Five dimensional formulation of a DSR