Deformed special relativity from asymptotically safe gravity

2010/08/31 by Xavier Calmet, Sabine Hossenfelder, Roberto Percacci · 18 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Cosmology and Gravitation Theories #Doubly special relativity #Four-force #General relativity #Interpretation (philosophy) #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Scale (ratio) #Theoretical physics #Theory of relativity #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.82.124024

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 82(12) (American Physical Society) · replaced with published version

openalex publication_date 2010/12/10 · arxiv created 2010/12/20 · arxiv updated 2010/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

By studying the notion of a fundamentally minimal length scale in asymptotically safe gravity we find that a specific version of deformed special relativity (DSR) naturally arises in this approach. We then consider two thought experiments to examine the interpretation of the scenario and discuss similarities and differences to other approaches to DSR.

Citations

• Conservation laws in “doubly special relativity”
• Fixed Points of Quantum Gravity
• Modified dispersion relations from the renormalization group of gravity
• Classical and Quantum Mechanics of Free κ-Relativistic Systems
• Asymptotic safety in higher-derivative gravity
• Some comments on the universal constant in DSR
• Bounds on an Energy-Dependent and Observer-Independent Speed of Light from Violations of Locality
• Testable scenario for relativity with minimum length
• QUANTUM GRAVITY AND MINIMUM LENGTH
• Fock space, quantum fields, andκ-Poincaré symmetries
• Observer-independent quantum of mass
• Gravity's rainbow
• Relativity: Special treatment