Black Hole Thermodynamics and Lorentz Symmetry

Abstract

Recent developments point to a breakdown in the generalized second law of thermodynamics for theories with Lorentz symmetry violation. It appears possible to construct a perpetual motion machine of the second kind in such theories, using a black hole to catalyze the conversion of heat to work. Here we describe and extend the arguments leading to that conclusion. We suggest the inference that local Lorentz symmetry may be an emergent property of the macroscopic world with origins in a microscopic second law of causal horizon thermodynamics.

4 pages; v2: Version to appear in Foundations of Physics. Potential counterexamples addressed, argument given applying to LV theories where all speeds (or horizons) coincide, and editing for clarity

References in corpus (6)

• Spontaneous breaking of Lorentz invariance, black holes and perpetuum mobile of the 2nd kind
• Lorentz violation and perpetual motion
• Lorentz violation and black-hole thermodynamics
• Black holes in the TeVeS theory of gravity and their thermodynamics
• Ghost condensate and generalized second law
• Can ghost condensate decrease entropy?

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