Dirac equation for embedded 4-geometries
High Energy Physics - Theory
2013-03-26 v3 General Relativity and Quantum Cosmology
Abstract
We apply Dirac's square root idea to constraints for embedded 4-geometries swept by a 3-dimensional membrane. The resulting Dirac-like equation is then analyzed for general coordinates as well as for the case of a Friedmann-Robertson-Walker metric for spatially closed geometries. The problem of the singularity formation at quantum level is addressed.
Cite
@article{arxiv.1103.2594,
title = {Dirac equation for embedded 4-geometries},
author = {Maciej Trzetrzelewski},
journal= {arXiv preprint arXiv:1103.2594},
year = {2013}
}
Comments
25 pages, 6 figures, v2: extended version, v3: published version, minor corrections