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arXiv · 2603.11386

Temperature Fluctuations and quantum corrections near Black Hole Horizon

Anamika Avinash Pathak·Swastik Bhattacharya
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Abstract

Spatially varying near-horizon fluctuations of temperature of a Schwarzschild Black Hole is considered within the Euclidean Gravity approach. We present evidence that suggests that such fluctuations in temperature are closely related with the near-horizon supertranslations of a Black Hole. This allows one to express the temperature-dependent corrections to the near-horizon part of the Euclidean gravity action or Free energy in terms of polynomial functionals of a near-horizon supertranslation for all orders. The leading order term turns out to be proportional to the near-horizon supertranslation charge. We also show that this same term results from a microscopic state counting of the near-horizon field with the constraint of near-horizon supertranslation symmetry imposed. The constructed near-horizon partition function provides a physically appealing intuitive description of the low-energy part of horizon physics as a sum over all possible near-horizon supertranslations. This suggests a dual description of near-horizon physics in terms of alternate variables. The implications of these results are briefly discussed.

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Anamika Avinash Pathak, Swastik Bhattacharya. 2026-03-11. Temperature Fluctuations and quantum corrections near Black Hole Horizon. https://arxiv.org/abs/2603.11386

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