Quantum reference frames and deformed symmetries

Details Quantum reference frames and deformed symmetries Quantum reference frames and deformed symmetries

2007-10-24

arxiv.org/abs/0710.4393v1

Phys.Rev.D77:104012,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, revtex. Comments are welcome

Scientific paper

10.1103/PhysRevD.77.104012

In the context of constrained quantum mechanics, reference systems are used to construct relational observables that are invariant under the action of the symmetry group. Upon measurement of a relational observable, the reference system undergoes an unavoidable measurement "back-action" that modifies its properties. In a quantum-gravitational setting, it has been argued that such a back-action may produce effects that are described at an effective level as a form of deformed (or doubly) special relativity. We examine this possibility using a simple constrained system that has been extensively studied in the context of quantum information. While our conclusions support the idea of a symmetry deformation, they also reveal a host of other effects that may be relevant to the context of quantum gravity, and could potentially conceal the symmetry deformation.

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