Phase spaces of doubly special relativity
TLDR
In this article, it was shown that depending on the direction of deformation of κ -Poincare algebra (time-like, space-like or light-like), the associated phase spaces of a single particle in Doubly Special Relativity theories have the energy-momentum spaces of the form of de Sitter, anti-de Sitter and flat space, respectively.About:
This article is published in Physics Letters B.The article was published on 2004-02-26 and is currently open access. It has received 26 citations till now. The article focuses on the topics: de Sitter invariant special relativity & Doubly special relativity.read more
Citations
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Journal ArticleDOI
Quantum-Spacetime Phenomenology
TL;DR: This work reviews the current status of phenomenological programs inspired by quantum-spacetime research and stresses the significance of results establishing that certain data analyses provide sensitivity to effects introduced genuinely at the Planck scale.
Journal ArticleDOI
Minimal Length Scale Scenarios for Quantum Gravity
TL;DR: The question of whether the fundamental laws of nature limit the ability to probe arbitrarily short distances is reviewed, and what insights can be gained from thought experiments for probes of shortest distances are examined.
Book ChapterDOI
Introduction to doubly special relativity
TL;DR: In this paper, the relation between Doubly Special Relativity and quantum gravity, the formal structure of DSR proposal based on Poincar\'e algebra and non-commutative Minkowski space-time, as well us some results and puzzles related to DSR phenomenology.
Journal ArticleDOI
Minimal Length Scale Scenarios for Quantum Gravity
TL;DR: In this paper, the fundamental laws of nature limit our ability to probe arbitrarily short distances, and the authors discuss some models that have been developed to implement a minimal length scale in quantum mechanics and quantum field theory.
Book ChapterDOI
Introduction to Doubly Special Relativity
TL;DR: In this paper, the relation between Doubly Special Relativity and quantum gravity, the formal structure of DSR proposal based on Poincar\'e algebra and non-commutative Minkowski space-time, as well us some results and puzzles related to DSR phenomenology.
References
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Journal ArticleDOI
Relativity in space-times with short distance structure governed by an observer independent (Planckian) length scale
TL;DR: In this paper, it was shown that it is possible to formulate the Relativity postulates in a way that does not lead to inconsistencies in the case of spacetimes whose short-distance structure is governed by an observer-independent length scale.
Journal ArticleDOI
Lorentz invariance with an invariant energy scale.
TL;DR: A modification of special relativity in which a physical energy, which may be the Planck energy, joins the speed of light as an invariant, in spite of a complete relativity of inertial frames and agreement with Einstein's theory at low energies is proposed.
Journal ArticleDOI
Q deformation of Poincare algebra
TL;DR: In this paper, the standard q-deformation of the Cartan-Weyl basis for o(3,2) ⋍ sp (4| R ) (real form of C2) is calculated.
Journal ArticleDOI
Bicrossproduct structure of κ-Poincare group and non-commutative geometry
Shahn Majid,Henri Ruegg +1 more
TL;DR: In this paper, the authors show that the κ-deformed Poincare quantum algebra proposed for particle physics has the structure of a Hopf algebra bicrossproduct U(so (1, 3)) T.
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Testable scenario for relativity with minimum length
TL;DR: In this paper, a general class of spacetimes whose structure is governed by observer-independent scales of both velocity (c ) and length (Planck length) was proposed, and it was shown that these spacetomes can naturally host a modification of the FitzGerald-Lorentz contraction such that lengths which in their inertial rest frame are bigger than a “minimum length” are also bigger than the minimum length in all other inertial frames.
Related Papers (5)
Bicrossproduct structure of κ-Poincare group and non-commutative geometry
Shahn Majid,Henri Ruegg +1 more