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Analog Model for Euclidean Wormholes Effects

2023/05/13 by G. O. Heymans, Heymans, G. O., N. F. Svaiter +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2305.07990

openalex publication_date 2023/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Using results of statistical field theory for systems with an anisotropic disorder, we present an analog model for Euclidean wormholes and topological fluctuation effects in a Riemannian space Md. The contribution of wormholes and topological fluctuations to the Euclidean gravitational functional integral is modeled by quenched randomness defined in the ℝd manifold. We obtain a disorder-averaged free energy by taking the average over all the realizations of the random fields. In the scenario of topology fluctuation, there appears a superposition of infinite branes that contribute to the physical quantities. All topology fluctuations can be understood as two distinct kinds of Euclidean wormholes: wormholes confined to one brane, and wormholes connecting different branes.

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