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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

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

A deformation of special relativity based on a dispersion relation with an energy independent speed of light and a symmetry between positive and negative energy states is proposed. The deformed Lorentz transformations, generators and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Clemens Heuson

This paper shows the need of the emergence of a universal minimum speed in the space-time by means of a more thorough investigation of Dirac's large number hypothesis (LNH). We will realize that there should be a minimum speed $V$ with the…

General Relativity and Quantum Cosmology · Physics 2022-03-31 Cláudio Nassif Cruz

We consider deformed special relativity (DSR) theories on commutative space-time, perhaps as an first approximation to a noncommutative space-time formulation. The corresponding field theories in general possess derivatives of all orders.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Clemens Heuson

In this article we elaborate on a recently proposed interpretation of DSR as an effective measurement theory in the presence of non-negligible (albeit small) quantum gravitational fluctuations. We provide several heuristic arguments to…

General Relativity and Quantum Cosmology · Physics 2009-11-11 R. Aloisio , A. Galante , A. Grillo , S. Liberati , E. Luzio , F. Mendez

Doubly special relativity (DSR) introduces an observer-independent energy scale while preserving a deformed relativistic notion of covariance. In many realizations, this leads to an energy-dependent speed of light (light-speed variation,…

High Energy Physics - Phenomenology · Physics 2026-05-07 Hao Li , Jie Zhu

Deformed Special Relativity (DSR) is a generalization of Special Relativity based on a deformed Minkowski space, i.e. a four-dimensional space-time with metric coefficients depending on the energy. We show that, in the DSR framework, it is…

High Energy Physics - Theory · Physics 2007-05-23 Fabio Cardone , Alessio Marrani , Roberto Mignani

Deformed Special Relativity is usually presented as a deformation of Special Relativity accommodating a new universal constant, the Planck mass, while respecting the relativity principle. In order to avoid some fundamental problems (e.g.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Florian Girelli , Etera R. Livine

Lorentz symmetry violation (LSV) is often discussed using models of the $TH\epsilon \mu $ type which involve, basically, energy independent parameters. However, if LSV is generated at the Planck scale or at some other fundamental length…

High Energy Physics - Phenomenology · Physics 2007-05-23 Luis Gonzalez-Mestres

Lorentz symmetry violation (LSV) can be generated at the Planck scale, or at some other fundamental length scale, and naturally preserve Lorentz symmetry as a low-energy limit (deformed Lorentz symmetry, DLS). DLS can have important…

High Energy Physics - Theory · Physics 2007-05-23 Luis Gonzalez-Mestres

In this article we develop a physical interpretation for the deformed (doubly) special relativity theories (DSRs), based on a modification of the theory of measurement in special relativity. We suggest that it is useful to regard the DSRs…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Stefano Liberati , Sebastiano Sonego , Matt Visser

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

Doubly Special Relativity (DSR) theories consider (quantum-gravity motivated) deformations of the symmetries of special relativity compatible with a relativity principle. The existence of time delays for massless particles, one of their…

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

Doubly Special Relativity (DSR) augments special relativity by introducing, alongside the invariant speed of light $c$, a second observer-independent scale typically associated with the Planck regime. At the level of effective wave…

High Energy Physics - Theory · Physics 2026-02-27 Abdelmalek Boumali , Nosratollah Jafari

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

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

Lorentz symmetry violation (LSV) can be generated at the Planck scale, or at some other fundamental length scale, and naturally preserve Lorentz symmetry as a low-energy limit (deformed Lorentz symmetry, DLS). DLS can have important…

High Energy Physics - Theory · Physics 2007-05-23 Luis Gonzalez-Mestres

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

In this note we discuss the possibility to define a space-time with a DSR based approach. We show that the strategy of defining a non linear realization of the Lorentz symmetry with a consistent vector composition law cannot be reconciled…

General Relativity and Quantum Cosmology · Physics 2009-11-11 R. Aloisio , A. Galante , A. F. Grillo , E. Luzio , F. Mendez
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