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Two-Sheeted Universe, Analyticity and the Arrow of Time

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arxiv 2109.06204 v1 pith:5G5EGLWI submitted 2021-09-13 hep-th astro-ph.COgr-qchep-ph

Two-Sheeted Universe, Analyticity and the Arrow of Time

classification hep-th astro-ph.COgr-qchep-ph
keywords spacetimeanalyticarrowarxivdominatedperturbationspictureprimordial
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Our universe seems to be radiation dominated at early times, and vacuum energy dominated at late times. When we consider the maximal analytic extension of this spacetime, its symmetries and complex analytic properties suggest a picture in which spacetime has two sheets, exchanged by an isometry which, in turn, picks a preferred (CPT-symmetric) vacuum state for quantum fields on the spacetime. Previously (arXiv:1803.08928, arXiv:1803.08930), we showed how this line of thought provides new explanations for dark matter, the matter-antimatter asymmetry, the absence of primordial vector and tensor perturbations, and the {\it phase} of the primordial scalar perturbations; and additional testable predictions. In this paper, we develop this picture in several respects and, in particular, point out that it also provides a new explanation for why the thermodynamic arrow of time points away from the bang.

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