Bound of Noncommutativity Parameter Based on Black Hole Entropy

2010/05/31 by WONTAE KIM, Wontae Kim, Daeho Lee +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1142/s0217732310034237

published as Mod.Phys.Lett.A25:3213-3218,2010 · LaTeX 7 pages, references added, minor corrections

arxiv created 2010/07/15 · arxiv updated 2010/12/06

Abstract

We study the bound of the noncommutativity parameter in the noncommutative Schwarzschild black hole which is a solution of the noncommutative ISO(3,1) Poincare gauge group. The statistical entropy satisfying the area law in the brick wall method yields a cutoff relation which depends on the noncommutativity parameter. Requiring both the cutoff parameter and the noncommutativity parameter to be real, the noncommutativity parameter can be shown to be bounded as Θ> 8.4 times 10^-2l_p.

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