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Damped perturbations in the no-boundary state

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arxiv 1804.01102 v2 pith:AH3ALLZM submitted 2018-04-03 gr-qc hep-th

classification gr-qchep-th
keywords no-boundaryperturbationsscaledampedfactorproposalstateaccount
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We evaluate the no-boundary path integral exactly in a Bianchi IX minisuperspace with two scale factors. In this model the no-boundary proposal can be implemented by requiring one scale factor to be zero initially together with a judiciously chosen regularity condition on the momentum conjugate to the second scale factor. Taking into account the non-linear backreaction of the perturbations we recover the predictions of the original semiclassical no-boundary proposal. In particular we find that large perturbations are strongly damped, consistent with vacuum state wave functions.

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Cited by 4 Pith papers

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    Toroidal universes with vacuum energy are geodesically incomplete, and their semiclassical nucleation instantons are singular, so quantum creation from nothing cannot be described within semiclassical quantum gravity.

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    Tunneling wave function of a closed universe is recovered as the ε o0 limit of a Neumann-plus-small-domain path integral with radiation-induced throat, excluding the unsuppressed outer saddle.

  3. Holographic (Eternal) Inflation

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    Complex mass deformations of ABJM theory yield a holographic wave function for an inflationary universe, dominated by the Hartle-Hawking no-boundary state with a subleading tunneling term.

  4. A Safe Beginning for the Universe?

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    In quadratic gravity, requiring a finite action for allowed universes rules out anisotropic and clumpy big-bang beginnings and forces accelerated expansion near zero volume.

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