Deformed special relativity as an effective flat limit of quantum gravity

By Florian Girelli, Etera R. Livine, D. Oriti. 2004

134 citations recorded by the source corpus.

Abstract We argue that a (slightly) curved space–time probed with a finite resolution, equivalently a finite minimal length, is effectively described by a flat non-commutative space–time. More precisely, a small cosmological constant (so a constant curvature) leads the κ -deformed Poincare flat space–time of deformed special relativity (DSR) theories. This point of view eventually helps understanding some puzzling features of DSR. It also explains how DSR can be considered as an effective flat (low energy) limit of a (true) quantum gravity theory. This point of view leads us to consider a possible generalization of DSR to arbitrary curvature in momentum space and to speculate about a possible formulation of an effective quantum gravity model in these terms. It also leads us to suggest a doubly deformed special relativity framework for describing particle kinematics in an effective low energy description of quantum gravity.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/64a2d5e713db49587cbbe18cfc4e2acdf384923d

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In Astronomy and Astrophysics

  1. Giovanni Amelino-Camelia
  2. Jerzy Kowalski-Glikman
  3. Stefano Liberati
  4. S. Nowak
  5. D. Mattingly
  6. Lee Smolin

In Nuclear and High Energy Physics

  1. Giovanni Amelino-Camelia
  2. Jerzy Kowalski-Glikman

In Statistical and Nonlinear Physics

  1. Giovanni Amelino-Camelia
  2. Jerzy Kowalski-Glikman
  3. Stefano Liberati
  4. S. Nowak
  5. D. Mattingly
  6. Lee Smolin

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