2012/12/19 by Martin Bojowald, George M. Paily · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Doubly special relativity #Four-force #General relativity #Linearized gravity #Loop quantum gravity #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Problem of time #Quantization (signal processing) #Quantum #Quantum gravity #Quantum mechanics #Quantum nonlocality #Special relativity #Theoretical physics #Theory of relativity #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.87.044044
published as Phys. Rev. D 87 (2013) 044044 · 14 pages
arxiv created 2012/12/19 · openalex publication_date 2013/02/21 · arxiv updated 2013/08/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Deformed special relativity is embedded in deformed general relativity using the methods of canonical relativity and loop quantum gravity. Phase-space dependent deformations of symmetry algebras then appear, which in some regimes can be rewritten as nonlinear Poincar'e algebras with momentum-dependent deformations of commutators between boosts and time translations. In contrast to deformed special relativity, the deformations are derived for generators with an unambiguous physical role, following from the relationship between canonical constraints of gravity with stress-energy components. The original deformation does not appear in momentum space and does not give rise to nonlocality issues or problems with macroscopic objects. Contact with deformed special relativity may help to test loop quantum gravity or restrict its quantization ambiguities.