The Area Quantum and Snyder Space
arXiv:0802.1250 · doi:10.1016/j.physletb.2008.02.001
Abstract
We show that in the Snyder space the area of the disc and of the sphere can be quantized. It is also shown that the area spectrum of the sphere can be related to the Bekenstein conjecture for the area spectrum of a black hole horizon.
7 pages, in Press, Physics Letters B
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- Classical and quantum mechanics of the nonrelativistic Snyder model
- Snyder space revisited
- Snyder dynamics in a Schwarzschild spacetime
- Classical dynamics on curved Snyder space
- Macroscopic body in Snyder space and minimal length estimation
- 1-D Harmonic Oscillator in Snyder Space, the Classic and the Quantum
- Deformed Quantum Phase Spaces, Realizations, Star Products and Twists
- Generalized relativistic kinematics in Poincaré-invariant models
- Non-Relativistic Anti-Snyder Model and Some Applications
- Lifshitz field theories, Snyder noncomutative space-time and momentum dependent metric
- Kinetic energy properties and weak equivalence principle in a space with GUP
- Statistical physics on Euclidean Snyder space: connections with the GUP and cosmological implications
- Snyder and their representation with creation and annihilation operators
- Spectra of disc operator for twisted acceleration-enlarged Newton-Hooke space-times
- On the area of the sphere in a Snyder geometry