GUP-BASED AND SNYDER NONCOMMUTATIVE ALGEBRAS, RELATIVISTIC PARTICLE MODELS, DEFORMED SYMMETRIES AND INTERACTION: A UNIFIED APPROACH
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Publication:2865968
DOI10.1142/S0217751X13501315zbMath1277.83067arXiv1301.4042MaRDI QIDQ2865968
Publication date: 12 December 2013
Published in: International Journal of Modern Physics A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1301.4042
Unified quantum theories (81V22) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Methods of noncommutative geometry in general relativity (83C65) Operator algebra methods applied to problems in quantum theory (81R15)
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Cites Work
- \(\kappa \)-Minkowski spacetime through exotic ``oscillator
- The AdS particle
- Space-time noncommutativity from particle mechanics
- Non-commutative spacetime in very special relativity
- DSR relativistic particle in a Lagrangian formulation and non-commutative spacetime: a gauge independent analysis
- Very Special Relativity
- Non-pointlike particles in harmonic oscillators
- RELATIVITY IN SPACETIMES WITH SHORT-DISTANCE STRUCTURE GOVERNED BY AN OBSERVER-INDEPENDENT (PLANCKIAN) LENGTH SCALE
- Foundations of Quantum Mechanics
- Testable scenario for relativity with minimum length
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