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Ultra-high-energy physics is about to enter a new era thanks to the impressive results of experiments such as the "Large High Altitude Air Shower Observatory" (LHAASO), detecting photons of up to $1.4\times 10^{15}$ eV (PeV scale). These…

High Energy Physics - Phenomenology · Physics 2026-01-22 J. M. Carmona , J. L. Cortés , J. J. Relancio , M. A. Reyes , A. Vincueria

I study the physical meaning of Deformed, or Doubly, Special Relativity (DSR). I argue that DSR could be physically relevant in a certain large-distance limit. I consider a concrete physical effect: the gravitational slowing down of time…

General Relativity and Quantum Cosmology · Physics 2008-08-29 Carlo Rovelli

Doubly Special Relativity (DSR) is a theory with two observer-independent scales, of velocity and mass, which is expected to replace Special Relativity at ultra-high energies. In these notes we first discuss the postulates of DSR, and then…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Katarzyna Imilkowska , Jerzy Kowalski-Glikman

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…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Gianluca Mandanici

In doubly special relativity (DSR) theories the speed of the light usually depends on the frequency. Thus, we expect that light from very distant stars and gamma ray bursts have additional time delays with respect to special relativity. In…

General Relativity and Quantum Cosmology · Physics 2024-06-04 Nosratollah Jafari

We propose a new interpretation of doubly special relativity (DSR) based on the distinction between the momentum and the translation generators in its phase space realization. We also argue that the implementation of DSR theories does not…

General Relativity and Quantum Cosmology · Physics 2009-02-12 S. Mignemi

Deformed Special Relativity (DSR) is obtained by imposing a maximal energy to Special Relativity and deforming the Lorentz symmetry (more exactly the Poincar\'e symmetry) to accommodate this requirement. One can apply the same procedure…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Florian Girelli , Etera R. Livine

In Very Special Relativity (VSR) a gauge invariant photon mass is allowed. We explore some consequences of keeping this parameter not zero. VSR-Maxwell equations are presented. In addition, we show modifications to the Feynman rules keeping…

High Energy Physics - Theory · Physics 2019-09-25 Jorge Alfaro , Alex Soto

Recently a great deal of interest in field theories formulated in a Lorentz violating framework has been developed. Here the Very Special Relativity (VSR) is considered. The main aspect in the VSR proposal is that laws of physics are…

High Energy Physics - Theory · Physics 2021-07-07 A. F. Santos , Faqir C. Khanna

Doubly special relativity considers a deformation of the special relativistic kinematics parametrized by a high-energy scale, in such a way that it preserves a relativity principle. When this deformation is assumed to be applied to any…

General Relativity and Quantum Cosmology · Physics 2026-01-22 J. M. Carmona , J. L. Cortés , J. J. Relancio , M. A. Reyes

The modification of the quantum mechanical commutators in a relativistic theory with an invariant length scale (DSR) is identified. Two examples are discussed where a classical behavior is approached in one case when the energy approaches…

High Energy Physics - Theory · Physics 2009-11-10 J. L. Cortes , J. Gamboa

In this paper we recall the construction of Doubly Special Relativity (DSR) as a theory with energy-momentum space being the four dimensional de Sitter space. Then the bases of the DSR theory can be understood as different coordinate…

High Energy Physics - Theory · Physics 2008-11-26 Jerzy Kowalski-Glikman , Sebastian Nowak

Theoretical arguments in favor of energy dependent photon time delays from a modification of special relativity (SR) have met with recent gamma ray observations that put severe constraints on the scale of such deviations. We review the case…

High Energy Physics - Theory · Physics 2018-01-19 J. M. Carmona , J. L. Cortes , J. J. Relancio

In many different ways, Deformed Special Relativity (DSR) has been argued to provide an effective limit of quantum gravity in almost-flat regime. Some experiments will soon be able to test some low energy effects of quantum gravity, and DSR…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Florian Girelli , Etera R. Livine

We propose version of doubly special relativity theory starting from position space. The version is based on deformation of ordinary Lorentz transformations due to the special conformal transformation. There is unique deformation which does…

High Energy Physics - Theory · Physics 2009-11-10 A. A. Deriglazov

In this paper we have consider the thermodynamics of a photon gas subject to the presence of a minimal measurable length following from a covariant extension of the original generalized uncertainty principle (GUP). After establishing…

High Energy Physics - Theory · Physics 2016-11-02 R. Bufalo

We find finite-boost transformations DSR theories in first order of the Planck length $l_p$, by solving differential equations for the modified generators. We obtain corresponding dispersion relations for these transformations, which help…

General Relativity and Quantum Cosmology · Physics 2020-09-23 Nosratollah Jafari , Michael R. R. Good

In this paper, we investigate effect of the generalized uncertainty principle (GUP) under the doubly special relativity (DSR) on the thermodynamics properties of the topological charged black hole in Anti-de Sitter (AdS) space only in the…

General Physics · Physics 2019-01-30 E. Maghsoodi , H. Hassanabadi , Won Sang Chungb

This work comprises a study of the thermodynamic behavior of modified $f(\bar{R},\bar{T})$ gravity, which had been developed based on a non-canonical theory known as K-essence theory. In this development, we use the Dirac-Born-Infeld (DBI)…

General Relativity and Quantum Cosmology · Physics 2024-10-14 Arijit Panda , Goutam Manna , Saibal Ray , Maxim Khlopov , Praveen Kumar Dhankar

Deformed special relativity (DSR) is one of the possible realizations of a varying speed of light (VSL). It deforms the usual quadratic dispersion relations so that the speed of light becomes energy dependent, with preferred frames avoided…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Joao Magueijo