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Approaches to Quantum Cosmology

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arxiv gr-qc/9403010 v1 pith:YVSWKA56 submitted 1994-03-02 gr-qc hep-th

Alexander Vilenkin This is my paper · ORCID
classification gr-qchep-th
keywords discussedproposalsanalyzedapproachapproachesboundariesboundarychange
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Different proposals for the wave function of the universe are analyzed, with an emphasis on various forms of the tunneling proposal. The issues discussed include the equivalence of the Lorentzian path integral and outgoing-wave proposals, the definitions of the outgoing waves and of superspace boundaries, topology change and the corresponding modification of the Wheeler-DeWitt equation. Also discussed are the "generic" boundary conditions and the third quantization approach.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A Small-Throat Boundary Condition for the Tunneling Wave Function of the Universe

    gr-qc 2026-07 conditional novelty 6.0 of 10

    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.

  2. Boundary conditions and Hilbert spaces in no-roll quantum cosmology

    gr-qc 2026-06 unverdicted novelty 6.0 of 10

    In no-roll quantum cosmology, fixing the integration constant for potential energy yields a one-dimensional Hilbert space selecting Vilenkin's tunnelling wavefunction, while arbitrary values permit an infinite-dimensi...

  3. The Cosmological Constant from a Quantum Gravitational $\theta$-Vacua and the Gravitational Hall Effect

    gr-qc 2025-06 conditional novelty 6.0 of 10

    The cosmological constant is related to the topological theta angle by theta = 12 pi^2 / (Lambda l_Pl^2), suggesting Lambda is topologically protected.

  4. Spacetime and Planck mass generation from scale-invariant degenerate gravity

    hep-th 2024-11 reject novelty 5.0 of 10

    The paper computes a one-loop effective potential that can produce a Planck mass from a scalar vacuum, but the curvature that seeds it is assumed by hand and the vierbein scale factor runs away.

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