Dirac equation for embedded 4-geometries

Details Dirac equation for embedded 4-geometries Dirac equation for embedded 4-geometries

2011-03-14

arxiv.org/abs/1103.2594v2

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 6 figures, v2: extended version

Scientific paper

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.

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