Macroscopic Black Holes, Microscopic Black Holes and Noncommutative Membrane

Abstract

We study the stretched membrane of a black hole as consisting of a perfect fluid. We find that the pressure of this fluid is negative and the specific heat is negative too. A surprising result is that if we are to assume the fluid be composed of some quanta, then the dispersion relation of the fundamental quantum is $E=m^2/k$, with $m$ at the scale of the Planck mass. There are two possible interpretation of this dispersion relation, one is the noncommutative spacetime on the stretched membrane, another is that the fundamental quantum is microscopic black holes.

10 pages, harvmac; v2: refs. added

Cited by in corpus (5)

• Winding String Condensation and Noncommutative Deformation of Spacelike Singularity
• Exploring Non-perturbative Corrections in Thermodynamics of Static Dirty Black Holes
• Quantum Black Holes: the Event Horizon as a Fuzzy Sphere
• On the Bekenstein-Hawking Entropy, Non-Commutative Branes and Logarithmic Corrections
• Black Hole Complementary Principle and The Noncommutative Membrane