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PreprintarXiv licencearXiv

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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Cite

BibTeXRIS
BibTeX
@misc{lehners2026connected,
  title = {{Connected Geometries in Gravitational Path Integrals, and Normalized No-Boundary Probabilities}},
  author = {Jean-Luc Lehners},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.08596},
  eprint = {2610.08596},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.08596},
}
RIS
TY  - UNPB
TI  - Connected Geometries in Gravitational Path Integrals, and Normalized No-Boundary Probabilities
AU  - Jean-Luc Lehners
PY  - 2026
DA  - 2026/10/08
PB  - arXiv
DO  - 10.48550/arxiv.2610.08596
UR  - https://arxiv.org/abs/2610.08596
AB  - 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.
ER  -