Physics of Quantum Relativity through a Linear Realization
arXiv:gr-qc/0603114 · doi:10.1103/PhysRevD.73.124029
Abstract
The idea of quantum relativity as a generalized, or rather deformed, version of Einstein (special) relativity has been taking shape in recent years. Following the perspective of deformations, while staying within the framework of Lie algebra, we implement explicitly a simple linear realization of the relativity symmetry, and explore systematically the resulting physical interpretations. Some suggestions we make may sound radical, but are arguably natural within the context of our formulation. Our work may provide a new perspective on the subject matter, complementary to the previous approach(es), and may lead to a better understanding of the physics.
27 pages in Revtex, no figure; proof-edited version to appear in Phys.Rev.D
References in corpus (11)
- Lorentz invariance with an invariant energy scale
- Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
- Testable scenario for Relativity with minimum-length
- Generalized Lorentz invariance with an invariant energy scale
- Introduction to Doubly Special Relativity
- Non-commutative space-time of Doubly Special Relativity theories
- Doubly Special Relativity and de Sitter space
- Triply Special Relativity
- On Special Relativity with Cosmological Constant
- Generalized Quantum Relativistic Kinematics: a Stability Point of View
- Linear Form of 3-scale Relativity Algebra and the Relevance of Stability
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- Doubly-Special Relativity: Facts, Myths and Some Key Open Issues
- Noncommutative Yang model and its generalizations
- The First Physics Picture of Contractions from a Fundamental Quantum Relativity Symmetry Including all Known Relativity Symmetries, Classical and Quantum
- Electroweak symmetries from the topology of deformed spacetime with minimal length scale
- Yang model revisited
- Five dimensional formulation of a DSR