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arXiv · 0711.4328

Black Holes: Fermions at the Extremal Limit?

George Ruppeiner
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Abstract

I present exact results matching Kerr-Newman Black Hole thermodynamics in the extremal limit to the two-dimensional Fermi Gas. Two dimensions are consistent with the membrane paradigm of black holes. Key in the analysis is the thermodynamic Riemannian curvature scalar $R$, negative for most ordinary thermodynamic systems, including those near the critical point, but mostly positive for the Kerr-Newman Black Hole and the Fermi Gas.

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George Ruppeiner. 2007-11-27. Black Holes: Fermions at the Extremal Limit?. https://arxiv.org/abs/0711.4328

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