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PreprintCC BY 4.0arXiv

Runaways in the no-boundary wavefunction

Abstract

We study the no-boundary wavefunction of Einstein gravity with positive cosmological constant. We identify families of weakly curved bulk saddles, including fillings of anisotropic late-time universes π•ŠpΓ—π•Šq, whose weights grow exponentially with geometric parameters of the late-time boundary. These runaways threaten the normalizability of the no-boundary state within gravitational effective field theory. Whether these saddles contribute remains open. Many of the runaway families we study violate the Kontsevich-Segal-Witten criterion, although several are minus asymptotically hyperbolic geometries whose one-loop determinants appear well-defined for pure gravity. For π•Š1Γ—π•Šq universes with q≑ 0pmod4, we construct a contour integral model that excludes the runaway at large π•Šq.

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BibTeX
@misc{cotler2026runaways,
  title = {{Runaways in the no-boundary wavefunction}},
  author = {Jordan Cotler and Prateksh Dhivakar and William Harvey and Victor Ivo and Kristan Jensen},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.23743},
  eprint = {2610.23743},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.23743},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Runaways in the no-boundary wavefunction
AU  - Jordan Cotler
AU  - Prateksh Dhivakar
AU  - William Harvey
AU  - Victor Ivo
AU  - Kristan Jensen
PY  - 2026
DA  - 2026/10/16
PB  - arXiv
DO  - 10.48550/arxiv.2610.23743
UR  - https://arxiv.org/abs/2610.23743
AB  - We study the no-boundary wavefunction of Einstein gravity with positive cosmological constant. We identify families of weakly curved bulk saddles, including fillings of anisotropic late-time universes π•Š^pΓ—π•Š^q, whose weights grow exponentially with geometric parameters of the late-time boundary. These runaways threaten the normalizability of the no-boundary state within gravitational effective field theory. Whether these saddles contribute remains open. Many of the runaway families we study violate the Kontsevich-Segal-Witten criterion, although several are minus asymptotically hyperbolic geometries whose one-loop determinants appear well-defined for pure gravity. For π•Š^1Γ—π•Š^q universes with q≑ 0pmod4, we construct a contour integral model that excludes the runaway at large π•Š^q.
ER  -