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Antipodal correlation on the meron wormhole and a bang-crunch universe
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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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Cited by 3 Pith papers
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Universality of merons in non-Abelian gauge theories
Merons are universal in many non-Abelian gauge theories and source regular black holes and Euclidean wormholes via a non-Abelian Ayón-Beato-García generalization.
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The paper identifies a variety of Euclidean saddle solutions including wormholes and oscillatory configurations in Einstein-Scalar-Maxwell models, demonstrates how oscillations are controlled by lifting flat potential...
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Before the Bang: Wormholes at the Dawn of the Universe
Euclidean wormholes broaden the landscape of regular semiclassical initial conditions for inflating universes, offering conceptual and practical advantages over the no-boundary proposal in quantum gravity.
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