Work

Fluctuations and Correlations in Causal Diamonds

Year: 2023

Type: preprint

Abstract: We argue that the correlation between the modular Hamiltonians of two causal diamonds related by a finite time translation is equal to the uncertainty in the modular Hamiltonian of the diamond in their overlap. In a separate section we investigate the relation between entropy fluctuations in a diamond, and length fluctuations calculated from the 't Hooft commutation relations.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2311.18049

Authors: Banks, T., Fischler, W.

Institutions: Rutgers, The State University of New Jersey, The University of Texas at Austin

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, U.S. Department of Energy

Awards: RESEARCH IN THEORETICAL HIGH ENERGY PHYSICS, String Theory and Quantum Field Theory: From the Planck Scale to the Hubble Scale

OpenAlex ID: W4389260676

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