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Principle of relative locality

Giovanni Amelino-Camelia1, Laurent Freidel3, Jerzy Kowalski-Glikman2, and Lee Smolin3,*

  • 1Dipartimento di Fisica, Università “La Sapienza”, and Sez. Roma1 INFN, P. le A. Moro 2, 00185 Roma Italy
  • 2Institute for Theoretical Physics, University of Wroclaw, Pl. Maxa Borna 9, 50-204 Wroclaw, Poland
  • 3Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, Ontario N2J 2Y5, Canada

  • *lsmolin@perimeterinstitute.ca
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Phys. Rev. D 84, 084010 – Published 5 October, 2011

DOI: https://doi.org/10.1103/PhysRevD.84.084010

Abstract

We propose a deepening of the relativity principle according to which the invariant arena for nonquantum physics is a phase space rather than spacetime. Descriptions of particles propagating and interacting in spacetimes are constructed by observers, but different observers, separated from each other by translations, construct different spacetime projections from the invariant phase space. Nonetheless, all observers agree that interactions are local in the spacetime coordinates constructed by observers local to them. This framework, in which absolute locality is replaced by relative locality, results from deforming energy-momentum space, just as the passage from absolute to relative simultaneity results from deforming the linear addition of velocities. Different aspects of energy-momentum space geometry, such as its curvature, torsion and nonmetricity, are reflected in different kinds of deformations of the energy-momentum conservation laws. These are in principle all measurable by appropriate experiments. We also discuss a natural set of physical hypotheses which singles out the cases of energy-momentum space with a metric compatible connection and constant curvature.

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Outline

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Phys. Rev. D 84, 084010– Published 5 October, 2011
  • Received 1 February 2011

© 2011 American Physical Society

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