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- Title
The Laplace Transform of Quantum Gravity.
- Authors
Gamboa, Jorge; Méndez, Fernando; Tapia-Arellano, Natalia
- Abstract
Following analogies with relativistic point particles and Schild strings, we show that the Einstein gravity and its strong coupling regime (or the Planck mass going to zero) are related to each other through a Laplace transform. The Feynman propagator of gravity in the strong coupling regime satisfies a functional diffusion equation in the three-metric space with the evolution parameter being the volume of spacetime. We conjecture that the relationship between both regimes is consistent with the existence of an evolution operator in which time is replaced by the volume of spacetime.
- Subjects
QUANTUM gravity; LAPLACE transformation; RELATIVISTIC astrophysics; PLANCK'S energy; CLASSICAL mechanics; STRING theory
- Publication
Universe (2218-1997), 2022, Vol 8, Issue 2, pN.PAG
- ISSN
2218-1997
- Publication type
Article
- DOI
10.3390/universe8020116