2016/09/05 by J. M. Carmona, J. L. Cortés, J. L. Cortes +1 · 22 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Energy (signal processing) #Energy–momentum relation #Epistemology #Four-force #Lorentz transformation #Mathematics #Meaning (existential) #Noncommutative and Quantum Gravity Theories #Order (exchange) #Philosophy #Physics #Principle of relativity #Quantum mechanics #Scale (ratio) #Special relativity #Statistics #Test theories of special relativity #Theoretical physics #Theory of relativity #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.94.084008
published in Physical review. D/Physical review. D. 94(8) (American Physical Society) · 19 pages
arxiv created 2016/09/05 · openalex publication_date 2016/10/05 · arxiv updated 2016/10/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The study of generic, nonlinear, deformations of special relativity parametrized by a high-energy scale M, which was carried out at first order in 1/M in J. M. Carmona, J. L. Cort'es, and F. Mercati, Phys. Rev. D 86, 084032 (2012), is extended to second order. This can be done systematically through a (``generalized'') change of variables from momentum variables that transform linearly. We discuss the different perspectives on the meaning of the change of variables, obtain the coefficients of modified composition laws and Lorentz transformations at second order, and work out how \ensuremathκ-Poincar'e, the most commonly used example in the literature, is reproduced as a particular case of the generic framework exposed here.