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arXiv · 2610.08596

Connected Geometries in Gravitational Path Integrals, and Normalized No-Boundary Probabilities

Jean-Luc Lehners
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Abstract

We argue that some of the puzzling features associated with the normalization of gravitational wave functions can be substantially alleviated by restricting the path integral to a sum over connected, allowable geometries. This prescription gives sensible results when applied to classical transitions and it provides non-trivial no-boundary probabilities, in line with old expectations. We highlight the additional impact of both boundary conditions and integration contours on these issues.

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Jean-Luc Lehners. 2026-10-06. Connected Geometries in Gravitational Path Integrals, and Normalized No-Boundary Probabilities. https://arxiv.org/abs/2610.08596

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