2007/07/31 by Gianluca Mandanici
Mathematics · Physics and Astronomy · #Additive function #Black Holes and Theoretical Physics #Classical mechanics #Conservation law #Conservation of energy #Covariant transformation #Doubly special relativity #Energy (signal processing) #Energy conservation #Four-force #General relativity #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum Mechanics and Applications #Quantum mechanics #Second law of thermodynamics #Special relativity #Statistical physics #Theoretical physics #Theory of relativity #Thermodynamics #gr-qc
paper · pdf · doi:10.1142/s0217732309030424
5 pages; A comparison with a previous analysis has been added
arxiv created 2008/11/11 · openalex publication_date 2009/03/28 · arxiv updated 2015/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
All the Doubly Special Relativity (DSR) models studied in literature so far involve a deformation of the energy conservation rule that forces us to release the hypothesis of the additivity of the energy for composite systems. In view of the importance of the issue for a consistent formulation of a DSR statistical mechanics and a DSR thermodynamics, we show that DSR models preserving the usual (i.e. additive) energy conservation rule can be found. These models allow the construction of a DSR-covariant extensive energy. The implications of the analysis for the dynamics of DSR-covariant multiparticle systems are also briefly discussed.