Testable scenario for relativity with minimum - length

By G. A. Camelia. 2001

340 citations recorded by the source corpus.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/87406fef2663d0923b699ef75b5f4b45052d5ed6

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Citations in the corpus

κ-Minkowski spacetime and the star product realizations (2007, background): “[32] S. Ghosh, “A Lagrangian for DSR particle and the role of noncommutativity,” Phys.”
Deformed special relativity as an effective flat limit of quantum gravity (2004, background): “More recently, the idea was further studied and developed (see for example [2, 3]) and it was shown that the underlying symmetry of Deformed Special Relativity is a quantum group -the so-called κ-deformed Poincaré group.”
Introduction to doubly special relativity (2004, background): “algebra 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.”
Quantum-Spacetime Phenomenology (2008, methodology): “An alternative, which I advocated a few years ago [58, 55], is the one of a “spacetime quantization” that deforms but does not break some spacetime symmetries.”
2+1 gravity and doubly special relativity (2003, background): “The doubly or deformed special relativity proposal (DSR)(1) is that quantum gravity effects may lead in the limit of weak fields to modifications in the kinematics of elementary particles characterized by [5] – [9]”
Minimal Length Scale Scenarios for Quantum Gravity (2012, background): “One perspective that has been put forward in the literature [14, 193, 15, 212] is that for the Planck mass to be observer independent it should be invariant under Lorentz boosts.”
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].”
Principle of relative locality (2011, background): “Last but not least, momentum spaces of constant curvature find its natural application as a model of Doubly (or deformed) Special Relativity (DSR) [28–30, 32], whose second observer independent scale is naturally associated with the curvature of the momentum space [30]10 (see also [31].”