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The wavefunction of a quantum $S^1 \times S^2$ universe

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arxiv 2503.14639 v2 pith:BUHI3T4V submitted 2025-03-18 hep-th gr-qc

Gustavo J. Turiaci , Chih-Hung Wu This is my paper · ORCID
classification hep-thgr-qc
keywords quantumintegralpathtimeswavefunctioncorrectionsgravitationalsome
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abstract

We study quantum gravity corrections to the no-boundary wavefunction describing a universe with spatial topology $S^1\times S^2$. It has been suggested that quantum effects become increasingly important when the size of the circle is large relative to the sphere. In this paper, we confirm this claim by an explicit four-dimensional one-loop calculation of the gravitational path integral preparing such a state. In the process, we clarify some aspects of the gravitational path integral on complex spacetimes. These quantum corrections play a crucial role in ensuring that the norm of the wavefunction is naturally expressed in terms of a path integral over $S^2 \times S^2$ at the classical level. We extend some of the analysis to more general spatial topologies, as well as to the inclusion of fermions.

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Cited by 5 Pith papers

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

  1. Projecting Gravitational Fluctuations onto Near-Horizon Throats

    hep-th 2026-08 conditional novelty 7.0 of 10

    A pair of coordinate changes projects Heun-type gravitational fluctuation equations onto two matched hypergeometric problems, reproducing instanton-counting results and yielding Schwarzian zero modes.

  2. Limits on the Statistical Description of Charged de Sitter Black Holes

    hep-th 2025-11 unverdicted novelty 7.0 of 10

    For charged de Sitter black holes, choosing the Bousso-Hawking observer normalization keeps the heat capacity finite in the Nariai limit, removing the expected log-T breakdown except in the cold and ultracold limits.

  3. Norm of the no-boundary state

    hep-th 2025-06 conditional novelty 7.0 of 10

    At one loop and late time, the norm of the Hartle-Hawking no-boundary state vanishes as e^{S0}/(vol(SO(d,1)) S0^{d(d+1)/4}), and adding an observer stabilizes it to a large positive value.

  4. Aspects of Closed Matricial Worlds

    hep-th 2026-07 conditional novelty 6.0 of 10

    Higher-genus corrections to the 2D de Sitter disk path integral follow a universal structure that at large boundary length mimics topological gravity, with new explicit expressions through genus six.

  5. One loop corrections to the thermodynamics of near-extremal Kerr-(A)dS black holes from Heun equation

    hep-th 2025-06 conditional novelty 6.0 of 10

    Cold near-extremal Kerr-de Sitter black holes carry universal log(T) entropy corrections while rotating Nariai geometries do not, as derived from Teukolsky/Heun connection coefficients.

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