scholarly journals Introduction to Doubly Special Relativity

2005 ◽  
pp. 131-159 ◽  
Author(s):  
J. Kowalski-Glikman
Keyword(s):  
Special Relativity ◽  
Doubly Special Relativity

scholarly journals Berry phase effects in the dynamics of Dirac electrons in doubly special relativity framework

2008 ◽  
Vol 660 (3) ◽  
pp. 267-274 ◽  
Author(s):  
Pierre Gosselin ◽  
Alain Bérard ◽  
Hervé Mohrbach ◽  
Subir Ghosh
Keyword(s):  
Special Relativity ◽  
Berry Phase ◽  
Doubly Special Relativity

STATISTICAL ORIGIN OF SPECIAL AND DOUBLY SPECIAL RELATIVITY

2013 ◽  
Vol 23 ◽  
pp. 373-378
Author(s):  
PETR JIZBA ◽  
FABIO SCARDIGLI
Keyword(s):  
Brownian Motion ◽  
Special Relativity ◽  
Coarse Graining ◽  
Relativistic Motion ◽  
Relativistic Dynamics ◽  
Compton Wavelength ◽  
Primitive Concept ◽  
Short Scale ◽  
Doubly Special Relativity ◽  
First Time

We show how a Brownian motion on a short scale can originate a relativistic motion on scales larger than particle's Compton wavelength. Special relativity appears to be not a primitive concept, but rather it statistically emerges when a coarse graining average over distances of order, or longer than the Compton wavelength is taken. Our scheme accommodates easily also the doubly special relativistic dynamics. A previously unsuspected, common statistical origin of the two frameworks is brought to light for the first time.

scholarly journals Black hole thermodynamics under the generalized uncertainty principle and doubly special relativity

2019 ◽  
Vol 2019 (8) ◽  
Author(s):  
E Maghsoodi ◽  
H Hassanabadi ◽  
Won Sang Chung
Keyword(s):  
Black Hole ◽  
Thermodynamic Properties ◽  
Special Relativity ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Black Hole Thermodynamics ◽  
De Sitter ◽  
Doubly Special Relativity ◽  
Heuristic Analysis ◽  
Horizon Case

Abstract We investigate the effect of the generalized uncertainty principle on the thermodynamic properties of the topological charged black hole in anti-de Sitter space within the framework of doubly special relativity. Our study is based on a heuristic analysis of a particle which is captured by the black hole. We obtain some thermodynamic properties of the black hole including temperature, entropy, and heat capacity in the spherical horizon case.

scholarly journals Doubly-Special Relativity: Facts, Myths and Some Key Open Issues

Symmetry ◽  
2010 ◽  
Vol 2 (1) ◽  
pp. 230-271 ◽  
Author(s):  
Giovanni Amelino-Camelia
Keyword(s):  
Special Relativity ◽  
Doubly Special Relativity ◽  
Open Issues

scholarly journals BLACK HOLE THERMODYNAMICS AND MODIFIED GUP CONSISTENT WITH DOUBLY SPECIAL RELATIVITY

2012 ◽  
Vol 27 (39) ◽  
pp. 1250227 ◽  
Author(s):  
K. ZEYNALI ◽  
F. DARABI ◽  
H. MOTAVALLI
Keyword(s):  
Heat Capacity ◽  
Black Hole ◽  
Special Relativity ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Black Hole Thermodynamics ◽  
Schwarzschild Black Hole ◽  
Commutation Relations ◽  
Doubly Special Relativity ◽  
Correction Terms

We study the black hole thermodynamics and obtain the correction terms for temperature, entropy, and heat capacity of the Schwarzschild black hole, resulting from the commutation relations in the framework of Modified Generalized Uncertainty Principle suggested by Doubly Special Relativity.

scholarly journals DSR-GUP Black Hole based on COW experiment and Einstein–Bohr’s photon box

2020 ◽  
Vol 80 (8) ◽  
Author(s):  
Nasrin Farahani ◽  
Hassan Hassanabadi ◽  
Jan Kříž ◽  
Won Sang Chung ◽  
Saber Zarrinkamar
Keyword(s):  
Black Hole ◽  
Phase Shift ◽  
Special Relativity ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Hawking Temperature ◽  
Doubly Special Relativity

Abstract In this paper, by studying the COW experiment and the Einstein Bohr’s photon box, we investigate the associated modified phase shift and Hawking temperature. Next, we comment on the effective Newton constant suggested by the doubly special relativity based on the generalized uncertainty principle.

scholarly journals CONFORMAL GENERATORS AND DOUBLY SPECIAL RELATIVITY THEORIES

2005 ◽  
Vol 20 (11) ◽  
pp. 861-867 ◽  
Author(s):  
CARLOS LEIVA
Keyword(s):  
Special Relativity ◽  
Linear Combination ◽  
Dimensional Reduction ◽  
Light Cone ◽  
Massless Particle ◽  
Conformal Group ◽  
Cone Structure ◽  
Doubly Special Relativity

In this paper, the relation between the modified Lorenz boosts, proposed in the doubly relativity theories and a linear combination of Conformal Group generators in R1,d-1 is investigated. The introduction of a new generator is proposed in order to deform the Conformal Group to achieve the connection conjectured. The new generator is obtained through a formal dimensional reduction from a free massless particle living in a R2,d space. Due to this treatment it is possible to say that even DSR theories modify light-cone structure in R1,d-1, it could remains, in some cases, untouched in R2,d.

SUPERSTATISTICS APPROACH TO DOUBLY SPECIAL RELATIVITY

2012 ◽  
Vol 26 (12) ◽  
pp. 1241003 ◽  
Author(s):  
PETR JIZBA ◽  
FABIO SCARDIGLI
Keyword(s):  
Special Relativity ◽  
Spatial Scale ◽  
Wiener Process ◽  
Path Integral ◽  
Coarse Graining ◽  
Relativistic Motion ◽  
Relativistic Dynamics ◽  
Compton Wavelength ◽  
Primitive Concept ◽  
Doubly Special Relativity

Using the concept known as a superstatistics path integral we show that a Wiener process on a short spatial scale can originate a relativistic motion on scales that are larger than particle's Compton wavelength. Viewed in this way, special relativity is not a primitive concept, but rather it statistically emerges when a coarse graining average over distances of order, or longer than the Compton wavelength is taken. Here we place a special emphasis on the modifications that are necessary to accommodate in our scheme the doubly special relativistic dynamics. In this way, a previously unsuspected, common statistical origin of the two frameworks is revealed. Salient issues such as generalized commutation relations and a connection with Feynman chessboard model are also discussed.

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