2007/10/24 by Florian Girelli, David Poulin
Mathematics · Medicine · Physics and Astronomy · #Action (physics) #Biofield Effects and Biophysics #Classical mechanics #Context (archaeology) #Geometry #Gravitation #Homogeneous space #Invariant (physics) #Mathematics #Noncommutative and Quantum Gravity Theories #Observable #Physics #Quantum #Quantum Mechanics and Applications #Quantum gravity #Quantum mechanics #Symmetry (geometry) #Theoretical physics #gr-qc #quant-ph
paper · pdf · doi:10.1103/physrevd.77.104012
published as Phys.Rev.D77:104012,2008 · 11 pages, revtex. Comments are welcome
arxiv created 2007/10/24 · openalex publication_date 2008/05/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.