2011

The principle of relative locality

Amelino-Camelia, Giovanni, Freidel, Laurent, Kowalski-Glikman, Jerzy et al.

Understand

We propose a deepening of the relativity principle according to which the invariant arena for non-quantum 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 momentum space, just as the passage from absolute to relative simultaneity results from deforming the linear addition of velocities.

Built on

A. Einstein, Zur Elektrodynamik bewegter Körper
1905
Earlier work this paper cites.
Max Born, A Suggestion for Unifying Quantum Theory and Relativity
1938
Earlier work this paper cites.
H. S. Snyder, Quantized space-time,
1947
Earlier work this paper cites.
Yu. A. Gol’fand, On the introduction of an “elementary length” in the relativistic theory of elementary particle
1963
Earlier work this paper cites.
E. Witten, (2+1)-Dimensional Gravity as an Exactly Soluble System,
1988
Earlier work this paper cites.
L. H. Thomas, The motion of a spinning electron,
1989
Earlier work this paper cites.
J. Lukierski, H. Ruegg, A. Nowicki et al
1991
Earlier work this paper cites.
S. Majid, H. Ruegg, Bicrossproduct structure of kappa Poincare group and noncommutative geometry,
1994
Earlier work this paper cites.
A. Connes, Non-commutative geometry
1994
Earlier work this paper cites.
H. -J. Matschull, M. Welling, Quantum mechanics of a point particle in (2+1)-dimensional gravity,
1998
Earlier work this paper cites.
F. A. Bais, N. M. Muller, Topological field theory and the quantum double of SU(2),
1998
Earlier work this paper cites.
S. DeDeo and C. Prescod-Weinstein, Energy-Dependent Speeds of Light for Cosmic-Ray Observatories
Original
1999
Earlier work this paper cites.
Kikkawa M., Geometry of homogeneous Lie loops
1999
Earlier work this paper cites.

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Then

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2005
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L. Freidel, Group field theory: An Overview,
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2005
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B. J. Schroers, Lessons from (2+1)-dimensional quantum gravity,
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2007
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J. Kowalski-Glikman and A. Starodubtsev, Effective particle kinematics from Quantum Gravity,
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2008
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John Ellis, N.E. Mavromatos, D.V. Nanopoulos, Probing a Possible Vacuum Refractive Index with Gamma-Ray Telescopes
Original
2009
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G. Amelino-Camelia and L. Smolin, Prospects for constraining quantum gravity dispersion with near term observations,
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A. A. Abdo et al, A limit on the variation of the speed of light arising from quantum gravity effects
2009
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F. Girelli and E. R. Livine, Special Relativity as a non commutative geometry: Lessons for Deformed Special Relativity,
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L. N. Chang, D. Minic, T. Takeuchi, Quantum Gravity, Dynamical Energy-Momentum Space and Vacuum Energy,
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F. Girelli, Snyder Space-Time: K-Loop and Lie Triple System,
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S. Hossenfelder, Bounds on an energy-dependent and observer-independent speed of light from violations of locality,
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G. Amelino-Camelia, M. Matassa, F. Mercati and G. Rosati, Taming nonlocality in theories with deformed Poincare symmetry,
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2010
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