An Inhomogeneous Space-Time Patching Model Based on a Nonlocal and Nonlinear Schrodinger Equation
General Relativity and Quantum Cosmology
2016-06-29 v1
Abstract
We consider an integrable, nonlocal and nonlinear, Schr\"odinger equation (NNSE) as a model for building space-time patchings in inhomogeneous loop quantum cosmology (LQC). We briefly review exact solutions of the NNSE, specially those obtained through "geometric equivalence" methods. Furthemore, we argue that the integrability of the NNSE could be linked to consistency conditions derived from LQC, under the assumption that the patchwork dynamics behaves as an integrable many-body system.
Cite
@article{arxiv.1605.01246,
title = {An Inhomogeneous Space-Time Patching Model Based on a Nonlocal and Nonlinear Schrodinger Equation},
author = {Christine C. Dantas},
journal= {arXiv preprint arXiv:1605.01246},
year = {2016}
}
Comments
29 pages, 2 figures, accepted for publication in Foundations of Physics