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General Relativistic Fluctuation Theorems

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arxiv 2407.09912 v3 pith:GL6PU3PG submitted 2024-07-13 gr-qc cond-mat.stat-mech

General Relativistic Fluctuation Theorems

classification gr-qc cond-mat.stat-mech
keywords generalfluctuationobserverrelativisticstochastictheoremstransformationconstruction
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Using the recently proposed covariant framework of general relativistic stochastic mechanics and stochastic thermodynamics, we proved the detailed and integral fluctuation theorems in curved spacetime. The time-reversal transformation is described as a transformation from the perspective of future-directed observer to that of the corresponding past-directed observer, which enables us to maintain general covariance throughout the construction.

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Cited by 1 Pith paper

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  1. Work distribution and fluctuation theorem in AdS/CFT

    hep-th 2025-11 conditional novelty 6.0

    The work distribution of a two-point measurement in a holographic CFT is expressed as a Schwinger-Keldysh bulk path integral, giving a bulk Tasaki-Crooks fluctuation theorem that is verified for a scalar probe on BTZ.