Euclidean Quantum Gravity from Variational Dynamics
General Relativity and Quantum Cosmology
2023-02-14 v1
Abstract
A variational phase space is constructed for a compact and piecewise flat Riemannian manifold. An extended action functional is provided such that the variational dynamics generate a symplectic flow on the phase space. This symplectic flow is numerically integrated as it evolves with respect to the variational parameter. Assuming ergodicity, the resulting flow samples the Euclidean path integral.
Cite
@article{arxiv.2302.05713,
title = {Euclidean Quantum Gravity from Variational Dynamics},
author = {Brenden McDearmon},
journal= {arXiv preprint arXiv:2302.05713},
year = {2023}
}