Relativity in space-times with short distance structure governed by an observer independent (Planckian) length scale

By Giovanni Amelino-Camelia. 2000

1,101 citations recorded by the source corpus.

I show 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. The consistency of these postulates proves incorrect the expectation that modifications of the rules of kinematics involving the Planck length would necessarily require the introduction of a preferred class of inertial observers. In particular, it is possible for every inertial observer to agree on physical laws supporting deformed dispersion relations of the type E2-c2 p2-c4m2 + f(E, p, m; Lp) =0, at least for certain types of f.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3c5c9c3cf20e888d30673b8b73cbedf9dc0906db

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In Astronomy and Astrophysics

In Atomic and Molecular Physics, and Optics

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Citations in the corpus

Modern Tests of Lorentz Invariance (2005, background): “[Online Article]: cited [<date>], http://www.livingreviews.org/lrr-2005-5 The date given as <date> then uniquely identifies the version of the article you are referring to.”
Lorentz violation at high energy: Concepts, phenomena, and astrophysical constraints (2005, background): “Both true LV as well as “deformed” Lorentz symmetry (in the context of so-called “doubly special relativity”[38]) have been pursued.”
Hawking radiation as tunneling through the quantum horizon (2005, background): “These type of modified dispersion relations have, in fact, been proposed as low-energy Quantum Gravity effects, which deform [35, 36] or break [37, 38] Lorentz symmetry (see also [39]).”
Introduction to doubly special relativity (2004, background): “Soon after pioneering papers of Amelino-Camelia [1], [2] it was realized in [3] and [4] that the κ-Poincaré algebra [10], [11], [12] is a perfect mathematical setting to describe one particle kinematics in DSR.”
Generalized Uncertainty Principle: Approaches and Applications (2014, background): “Corresponding to the choice of f and g [36, 37, 109], the Lorentz transformations of the energy-momentum of a particle in different inertial frames should differ from the transformations, which recover a non-linear realization of the Lorentz transformation, when l E ≪ 1 and l(2) p(2) ≪ 1”
Tests of Lorentz invariance: a 2013 update (2013, background): “Also to overcome some of these conceptual problems was recently advanced what we might call a ‘spin-off’ of DSR named relative locality.”
Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory (2015, background): “Generalized κ-Minkowski space carries the action of the κ-Poincaré group [56, 57], with structures that appear in what is known as doubly special relativity [58, 59] as discussed in [60].”