Fluctuations and Correlations in Causal Diamonds
High Energy Physics - Theory
2023-12-01 v1
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.
Cite
@article{arxiv.2311.18049,
title = {Fluctuations and Correlations in Causal Diamonds},
author = {T. Banks and W. Fischler},
journal= {arXiv preprint arXiv:2311.18049},
year = {2023}
}
Comments
12 pages, 3 figures, LaTeX