2014/12/19 by J. M. Carmona, J. L. Cortés, J. L. Cortes +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Doubly special relativity #Energy–momentum relation #Four-force #Invariant (physics) #Kinematics #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Power law #Quantum mechanics #Relativistic mechanics #Relativistic particle #Relativistic quantum chemistry #Relativistic speed #Theoretical physics #Theory of relativity #gr-qc #hep-ph
paper · pdf · doi:10.1103/physrevd.91.085036
published as Phys. Rev. D 91, 085036 (2015) · 13 pages, no figures
arxiv created 2014/12/19 · openalex publication_date 2015/04/24 · arxiv updated 2015/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a systematic derivation of the constraints that the relativity principle imposes between coefficients of a deformed (but rotational invariant) momentum composition law, dispersion relation, and momentum transformation laws, at first order in a power expansion of an ultraviolet energy scale. This work generalizes previous results of universal relativistic kinematics to the case of particle-dependent relativistic kinematics, which can have interesting phenomenological applications that we explore in the second part of the manuscript.