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 πpΓπq, 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 π1Γπq universes with qβ‘ 0pmod4, we construct a contour integral model that excludes the runaway at large πq.
Related
- Full complex wavefunction reconstruction with direct-interference ptychography
- An Algorithm for computing Three- and Four-Body Density Matrices from CASCI Wavefunction and AI-Assisted Code Optimization
- Wavefunction-templated metamaterials
- de Sitter Wavefunction from Quadrangular Polylogarithms: Polygon Graphs
- Elliptic master integrals and the one-loop cosmological wavefunction
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^pΓπ^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^1Γπ^q universes with qβ‘ 0pmod4, we construct a contour integral model that excludes the runaway at large π^q.
ER -