UNDEFORMED (ADDITIVE) ENERGY CONSERVATION LAW IN DOUBLY SPECIAL RELATIVITY

被引:6
作者
Mandanici, Gianluca [1 ]
机构
[1] Univ Roma La Sapienza, Dipart Fis, P Le Moro 2, I-00185 Rome, Italy
关键词
Special relativity; quantum gravity; conservation laws; VELOCITY; QUANTUM;
D O I
10.1142/S0217732309030424
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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.
引用
收藏
页码:739 / 745
页数:7
相关论文
共 24 条
[1]   Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles [J].
Amelino-Camelia, G ;
Arzano, M ;
Ling, Y ;
Mandanici, G .
CLASSICAL AND QUANTUM GRAVITY, 2006, 23 (07) :2585-2606
[2]   Group velocity in noncommutative spacetime [J].
Amelino-Camelia, G ;
D'Andrea, F ;
Mandanici, G .
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2003, (09) :51-59
[3]   Phenomenology of doubly special relativity [J].
Amelino-Camelia, G ;
Mandanici, G ;
Procaccini, A .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2005, 20 (26) :6007-6037
[4]  
Amelino-Camelia G, 2002, INT J MOD PHYS D, V11, P35, DOI [10.1142/S0218271802001330, 10.1142/S021827180200302X]
[5]   Testable scenario for relativity with minimum length [J].
Amelino-Camelia, G .
PHYSICS LETTERS B, 2001, 510 (1-4) :255-263
[6]  
[Anonymous], ARXIVHEPTH0104093
[7]   Deformed boost transformations that saturate at the Planck scale [J].
Bruno, NR ;
Amelino-Camelia, G ;
Kowalski-Glikman, J .
PHYSICS LETTERS B, 2001, 522 (1-2) :133-138
[8]   Velocity of particles in Doubly Special Relativity [J].
Daszkiewicz, M ;
Imilkowska, K ;
Kowalski-Glikman, J .
PHYSICS LETTERS A, 2004, 323 (5-6) :345-350
[9]   Position space versions of the Magueijo-Smolin doubly special relativity proposal and the problem of total momentum [J].
Deriglazov, AA ;
Rizzuti, BF .
PHYSICAL REVIEW D, 2005, 71 (12)
[10]   Observing the temperature of the big bang through large scale structure [J].
Ferreira, Pedro G. ;
Magueijo, Joao .
PHYSICAL REVIEW D, 2008, 78 (06)