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arXiv · 1711.03469

Antipodal correlation on the meron wormhole and a bang-crunch universe

Panagiotis Betzios·Nava Gaddam·Olga Papadoulaki
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Abstract

We present a covariant euclidean wormhole solution to Einstein Yang-Mills system and study scalar perturbations analytically. The fluctuation operator has a positive definite spectrum. We compute the Euclidean Green's function, which displays maximal antipodal correlation on the smallest three sphere. Upon analytic continuation, it corresponds to the Feynman propagator on a compact bang-crunch universe. We present the connection matrix that relates past and future modes. We thoroughly discuss the physical implications of the antipodal map in both the Euclidean and Lorentzian geometries.

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Panagiotis Betzios, Nava Gaddam, Olga Papadoulaki. 2017-11-09. Antipodal correlation on the meron wormhole and a bang-crunch universe. https://doi.org/10.1103/physrevd.97.126006

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