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In this short review of Doubly Special Relativity I describe first the relations between DSR and (quantum) gravity. Then I show how, in the case of a field theory with curved momentum space, the Hopf algebra of symmetries naturally emerges.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jerzy Kowalski-Glikman

I give a brief review on motivations, basic postulates, and recent developments in Doubly Special Relativity Theory.

High Energy Physics - Theory · Physics 2007-05-23 J. Kowalski-Glikman

In these notes, based on the lectures given at 40th Winter School on Theoretical Physics, I review some aspects of Doubly Special Relativity (DSR). In particular, I discuss relation between DSR and quantum gravity, the formal structure of…

High Energy Physics - Theory · Physics 2009-11-10 Jerzy Kowalski-Glikman

Guided primarily by versions of a theoretical framework called Doubly Special Relativity, or DSR, that are supposed to entail speeds of light that vary with energy while preserving the relativity of inertial frames, quantum-gravity…

General Physics · Physics 2010-09-21 Kenneth M. Sasaki

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

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

The idea of a role for DSR (doubly-special relativity) in quantum gravity finds some encouragement in a few scenarios, but in order to explore some key conceptual issues it is necessary to find a well-understood toy-quantum-gravity model…

General Relativity and Quantum Cosmology · Physics 2016-11-09 Giovanni Amelino-Camelia

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

Firstly we discuss different versions of noncommutative space-time and corresponding appearance of quantum space-time groups. Further we consider the relation between quantum deformations of relativistic symmetries and so-called doubly…

High Energy Physics - Theory · Physics 2017-08-23 J. Lukierski

It is shown that gravity in 2+1 dimensions coupled to point particles provides a nontrivial example of Doubly Special Relativity (DSR). This result is obtained by interpretation of previous results in the field and by exhibiting an explicit…

High Energy Physics - Theory · Physics 2009-11-10 Laurent Freidel , Jerzy Kowalski-Glikman , Lee Smolin

We discuss the recent proposal of implementing Doubly Special Relativity in configuration space by means of Finsler geometry. Although this formalism leads to a consistent description of the dynamics of a particle, it does not seem to give…

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

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) is usually regarded as a low-energy limit of a quantum gravity theory with testable predictions. On the other hand, non-local quantum field theories have been presented as a solution to the inconsistencies…

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

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

We show that Doubly Special Relativity (DSR) can be viewed as a theory with energy-momentum space being the four dimensional de Sitter space. Different formulations (bases) of the DSR theory considered so far can be therefore understood as…

High Energy Physics - Theory · Physics 2009-11-07 Jerzy Kowalski-Glikman

I report, emphasizing some key open issues and some aspects that are particularly relevant for phenomenology, on the status of the development of "doubly-special" relativistic ("DSR") theories with both an observer-independent high-velocity…

General Relativity and Quantum Cosmology · Physics 2016-12-21 Giovanni Amelino-Camelia

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

I describe two phenomenological windows on quantum gravity that seem promising to me. I argue that we already have important empirical inputs that should orient research in quantum gravity.

General Relativity and Quantum Cosmology · Physics 2021-11-16 Carlo Rovelli

A underlying dynamical structure for both relativity and quantum theory-``superrelativity'' has been proposed in order to overcome the well known incompatibility between these theories. The relationship between curvature of spacetime…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Peter Leifer

This is an informal review of the formulation of canonical general relativity and of its implications for quantum gravity; the various versions are compared, both in the continuum and in a discretized approximation suggested by Regge…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Giorgio Immirzi
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