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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

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

Doubly Special Relativity (DSR) theory is a theory with two observer-independent scales, of velocity and mass (or length). Such a theory has been proposed by Amelino--Camelia as a kinematic structure which may underline quantum theory of…

High Energy Physics - Theory · Physics 2015-06-26 J. Kowalski-Glikman , S. Nowak

Based on the principle of relativity and the postulate of invariant speed and length, we propose the theory of special relativity with cosmological constant ${\cal SR}_{c,R}$ if the invariant length whose square is the inverse of the…

High Energy Physics - Theory · Physics 2009-11-10 Han-Ying Guo , Chao-Guang Huang , Zhan Xu , Bin Zhou

In this work, we explore the quantum theories of the free massive scalar, the massive fermionic, and the electromagnetic fields, in a doubly special relativity scenario. This construction is based on a geometrical interpretation of the…

High Energy Physics - Theory · Physics 2025-02-24 J. J. Relancio , L. Santamaría-Sanz

We discuss the generalization of Doubly Special Relativity to a curved de Sitter background. The model has three observer-independent scales, the velocity of light $c$, the radius of curvature of the geometry $\alpha$, and the Planck energy…

General Relativity and Quantum Cosmology · Physics 2010-11-29 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

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

This paper presents an approach to the creation of a variant of Extended Special Relativity that takes into consideration the existence of limiting relativistically invariant quantities (Planck parameters). It shows the possibility of…

High Energy Physics - Theory · Physics 2007-05-23 V. V. Korukhov , O. V. Sharypov

We investigate a model of two-dimensional gravity with arbitrary scalar potential obtained by gauging a deformation of de Sitter or more general algebras, which accounts for the existence of an invariant energy scale. We obtain explicit…

High Energy Physics - Theory · Physics 2009-11-07 S. Mignemi

Scale invariant theories which contain maximal rank gauge field strengths (of $D$ indices in $D$ dimensions) are studied. The integration of the equations of motion of these gauge fields leads to the s.s.b. of scale invariance. The cases in…

High Energy Physics - Theory · Physics 2009-11-10 E. I. Guendelman

We investigate how deformations of special relativity in momentum space can be extended to position space in a consistent way, such that the dimensionless contraction between wave-vector and coordinate-vector remains invariant. By using a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Hossenfelder

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

The present acceleration of the Universe strongly indicated by recent observational data can be modeled in the scope of a scalar-tensor theory of gravity. We show that it is possible to determine the structure of this theory (the scalar…

General Relativity and Quantum Cosmology · Physics 2009-10-31 B. Boisseau , G. Esposito-Farese , D. Polarski , A. A. Starobinsky

Quantum gravity is studied in a semiclassical approximation and it is found that to first order in the Planck length the effect of quantum gravity is to make the low energy effective spacetime metric energy dependent. The diffeomorphism…

High Energy Physics - Theory · Physics 2009-11-11 Lee Smolin

I suggest wave equations for the scalar, pseudoscalar, vector, and pseudovector fields with different masses for spin zero and one states. Tensor, matrix, and quaternion formulations of fields with two mass and spin states are considered.…

High Energy Physics - Theory · Physics 2023-12-27 S. I. Kruglov

A conformal coupling of the metric in the Jordan frame to the energy-momentum tensor, screens the scalar field gravitational coupling strength $G$ in modified gravity (MOG). The scalar field acquires a mass which depends on the local matter…

General Relativity and Quantum Cosmology · Physics 2014-10-14 J. W. Moffat

We present a Master equation for description of fermions and bosons for special relativities with two invariant scales, SR2, (c and lambda_P). We introduce canonically-conjugate variables (chi^0, chi) to (epsilon, pi) of Judes-Visser.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 D. V. Ahluwalia-Khalilova

We investigate some interesting solutions in the DSR theories. These solutions have important features in optics and mechanics. We use these similarities for a better understanding of these theories. We know that, the vacuum in the DSR has…

General Relativity and Quantum Cosmology · Physics 2024-08-14 Nosratollah Jafari

I examine the results obtained so far in exploring the recent proposal of theories of the relativistic transformations between inertial observers that involve both an observer-independent velocity scale and an observer-independent…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Giovanni Amelino-Camelia