The Statistical Mechanics of the (2+1)-Dimensional Black Hole
S. Carlip
TL;DR
This paper explores the microscopic origin of entropy in (2+1)-dimensional black holes by linking horizon-induced physical states to gauge invariance breaking, providing a statistical mechanics perspective.
Contribution
It introduces a statistical mechanics framework for (2+1)-dimensional black hole entropy based on horizon states caused by gauge invariance breaking.
Findings
Black hole entropy equals the logarithm of horizon states
Horizon states arise from gauge invariance breaking
Provides a microscopic interpretation of black hole entropy
Abstract
The presence of a horizon breaks the gauge invariance of (2+1)-dimensional general relativity, leading to the appearance of new physical states at the horizon. I show that the entropy of the (2+1)-dimensional black hole can be obtained as the logarithm of the number of these microscopic states.
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