Snyder noncommutative space-time from two-time physics

Abstract

We show that the two-time physics model leads to a mechanical system with Dirac brackets consistent with the Snyder noncommutative space. An Euclidean version of this space is also obtained and it is shown that both spaces have a dual system describing a particle in a curved space-time.

5 pages, RevTeX4. References added

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Cited by in corpus (39)

• Metric Signature Transitions in Optical Metamaterials
• Deformed Special Relativity and Deformed Symmetries in a Canonical Framework
• Classical and quantum mechanics of the nonrelativistic Snyder model
• Topics in Noncommutative Geometry Inspired Physics
• Scalar Field Theory on Non-commutative Snyder Space-Time
• Modification of Heisenberg uncertainty relations in non-commutative Snyder space-time geometry
• Hyperbolic metamaterial interfaces: Hawking radiation from Rindler horizons and the "end of time"
• Deformed Symmetry in Snyder Space and Relativistic Particle Dynamics
• $\kappa$-Minkowski Spacetime Through Exotic "Oscillator"
• Snyder space revisited
• Kappa-deformed Snyder spacetime
• Kappa Snyder deformations of Minkowski spacetime, realizations and Hopf algebra
• Particle Dynamics on Snyder space
• Physics of Deformed Special Relativity
• Snyder dynamics in a Schwarzschild spacetime
• Classical dynamics on curved Snyder space
• Electrodynamics of a Generalized Charged Particle in Doubly Special Relativity Framework
• Worldline Formalism in Snyder Spaces
• The $AdS$ particle
• Noncommutative spaces, the quantum of time and the Lorentz symmetry
• Snyder-de Sitter model from two-time physics
• The Relativistic Particle: Dirac observables and Feynman propagator
• Noncommutative Yang model and its generalizations
• Generalized commutation relations and Non linear momenta theories, a close relationship
• Relative-locality phenomenology on Snyder spacetime
• Lorentz violation, Two times physics and Strings
• Deformed Quantum Phase Spaces, Realizations, Star Products and Twists
• Hamiltonian Noether theorem for gauge systems and two time physics
• Non-Relativistic Anti-Snyder Model and Some Applications
• Relativistic Particles on Quantum Space-time
• Lifshitz field theories, Snyder noncomutative space-time and momentum dependent metric
• 2T Physics, Scale Invariance and Topological Vector Fields
• Very special relativity as particle in a gauge field and two-time physics
• Supersymmetric Extension of the Snyder Algebra
• Spinorial Snyder and Yang Models From Superalgebras And Noncommutative Quantum Superspaces
• Theories on noncommutative spaces and deformed symmetries
• Snyder and their representation with creation and annihilation operators
• Quantization of Neveu-Schwarz-Ramond Superstring Model in 10+2-dimensional Spacetime
• Free Massless Particles, Two Time Physics and Newtonian Gravitodynamics