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arXiv · 2610.23743

Runaways in the no-boundary wavefunction

Jordan Cotler·Prateksh Dhivakar·William Harvey·Victor Ivo·Kristan Jensen
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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 $\mathbb{S}^p\times\mathbb{S}^q$, 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 $\mathbb{S}^1\times\mathbb{S}^q$ universes with $q\equiv 0\pmod4$, we construct a contour integral model that excludes the runaway at large $\mathbb{S}^q$.

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Jordan Cotler, Prateksh Dhivakar, William Harvey, Victor Ivo, Kristan Jensen. 2026-10-16. Runaways in the no-boundary wavefunction. https://arxiv.org/abs/2610.23743

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