11 research outputs found
Noncommutative Black Holes and the Singularity Problem
A phase-space noncommutativity in the context of a Kantowski-Sachs
cosmological model is considered to study the interior of a Schwarzschild black
hole. Due to the divergence of the probability of finding the black hole at the
singularity from a canonical noncommutativity, one considers a non-canonical
noncommutativity. It is shown that this more involved type of noncommutativity
removes the problem of the singularity in a Schwarzschild black hole.Comment: Based on a talk by CB at ERE2010, Granada, Spain, 6th-10th September
201
Entropic Gravity, Phase-Space Noncommutativity and the Equivalence Principle
We generalize E. Verlinde's entropic gravity reasoning to a phase-space
noncommutativity set-up. This allow us to impose a bound on the product of the
noncommutative parameters based on the Equivalence Principle. The key feature
of our analysis is an effective Planck's constant that naturally arises when
accounting for the noncommutative features of the phase-space.Comment: 12 pages. Version to appear at the Classical and Quantum Gravit
Deformation quantization of noncommutative quantum mechanics and dissipation
We review the main features of the Weyl-Wigner formulation of noncommutative
quantum mechanics. In particular, we present a -product and a Moyal
bracket suitable for this theory as well as the concept of noncommutative
Wigner function. The properties of these quasi-distributions are discussed as
well as their relation to the sets of ordinary Wigner functions and positive
Liouville probability densities. Based on these notions we propose criteria for
assessing whether a commutative regime has emerged in the realm of
noncommutative quantum mechanics. To induce this noncommutative-commutative
transition, we couple a particle to an external bath of oscillators. The master
equation for the Brownian particle is deduced.Comment: 7 pages, Latex file, Based on a talk presented by Joao Prata at
D.I.C.E. 2006, Piombino, Ital
Noncommutative Black Holes
One considers phase-space noncommutativity in the context of a
Kantowski-Sachs cosmological model to study the interior of a Schwarzschild
black hole. It is shown that the potential function of the corresponding
quantum cosmology problem has a local minimum. One deduces the thermodynamics
and show that the Hawking temperature and entropy exhibit an explicit
dependence on the momentum noncommutativity regime and it is shown that the
wave function vanishes in this limit.Comment: Based on a talk presented by CB at 1st Mediterranean Conference on
Classical and Quantum Gravity 2009, Kolymbari, Crete, 14th-18th September
2009, Greec