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A principle of maximum ignorance for semiclassical gravity

Authors :
de Boer, Jan
Liska, Diego
Post, Boris
Sasieta, Martin
Source :
JHEP 02 (2024) 003
Publication Year :
2023

Abstract

The principle of maximum ignorance posits that the coarse-grained description of a system is maximally agnostic about its underlying microscopic structure. We briefly review this principle for random matrix theory and for the eigenstate thermalization hypothesis. We then apply this principle in holography to construct ensembles of random mixed states. This leads to an ensemble of microstates which models our microscopic ignorance, and which on average reproduces the effective semiclassical physics of a given bulk state. We call this ensemble the state-averaging ansatz. The output of our model is a prediction for semiclassical contributions to variances and higher statistical moments over the ensemble of microstates. The statistical moments provide coarse-grained -- yet gravitationally non-perturbative -- information about the microstructure of the individual states of the ensemble. We show that these contributions exactly match the on-shell action of known wormhole configurations of the gravitational path integral. These results strengthen the view that wormholes simply parametrize the ignorance of the microstructure of a fundamental state, given a fixed semiclassical bulk description.<br />Comment: 63 + 9 pages. V2 and V3: references added

Details

Database :
arXiv
Journal :
JHEP 02 (2024) 003
Publication Type :
Report
Accession number :
edsarx.2311.08132
Document Type :
Working Paper
Full Text :
https://doi.org/10.1007/JHEP02(2024)003