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arXiv · 2206.01083

Infinite Temperature's Not So Hot

Henry Lin·Leonard Susskind
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Abstract

It has been argued that the entanglement spectrum of a static patch of de Sitter space must be flat, or what is equivalent, the temperature parameter in the Boltzmann distribution must be infinite. This seems absurd: quantum fields in de Sitter space have thermal behavior with a finite temperature proportional to the inverse radius of the horizon. The resolution of this puzzle is that the behavior of some quantum systems can be characterized by a temperature-like quantity which remains finite as the temperature goes to infinity. For want of a better term we have called this quantity tomperature. In this paper we will explain how tomperature resolves the puzzle in a proposed toy model of de Sitter holography -- the double-scaled limit of SYK theory.

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Henry Lin, Leonard Susskind. 2022-06-02. Infinite Temperature's Not So Hot. https://arxiv.org/abs/2206.01083

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