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arXiv · 1103.2594

Dirac equation for embedded 4-geometries

Maciej Trzetrzelewski
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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.

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Maciej Trzetrzelewski. 2013-03-24. Dirac equation for embedded 4-geometries. https://doi.org/10.1142/s0218271813500247

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