More on Half-Wormholes and Ensemble Average
Jia Tian, Yingyu Yang

TL;DR
This paper advances the understanding of half-wormholes by proposing a new detection method based on observable decomposition, revealing sector condensation phenomena that may indicate bulk gravitational descriptions.
Contribution
It introduces a novel approach to identify half-wormholes through observable sector decomposition and explores multi-linked half-wormholes within this framework.
Findings
Sector contributions exhibit interesting statistical behavior in the semi-classical limit.
Condensation of dominant sectors explains the emergence of half-wormholes.
The approach suggests a link between sector condensation and bulk gravitational descriptions.
Abstract
We continue our study about the half-wormhole proposal. By generalizing the original proposal of half-wormhole we propose a new way to detect half-wormholes. The crucial idea is to decompose the observables into self-averaged sector and non-self-averaged sectors. We find the contributions from different sectors have interesting statistics in the semi-classical limit. In particular, dominant sectors tend to condense and the condensation explains the emergence of half-wormholes and we expect that the appearance of condensation is a signal of possible bulk description. We also initiate the study of multi-linked-half-wormholes using our approach.
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Taxonomy
TopicsBlind Source Separation Techniques · Fractal and DNA sequence analysis · Statistical Mechanics and Entropy
