Principle of relative locality
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 energymomentum space, just as the passage from absolute to relative simultaneity results from deforming the linear addition of velocities. Different aspects of energymomentum space geometry, such as its curvature, torsion and nonmetricity, are reflected in different kinds of deformations of the energymomentum 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 energymomentum space with a metric compatible connection and constant curvature.
 Publication:

Physical Review D
 Pub Date:
 October 2011
 DOI:
 10.1103/PhysRevD.84.084010
 arXiv:
 arXiv:1101.0931
 Bibcode:
 2011PhRvD..84h4010A
 Keywords:

 04.60.m;
 04.60.Bc;
 Quantum gravity;
 Phenomenology of quantum gravity;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 12 pages, 3 figures