Dirac equation for embedded 4-geometries
classification
✦ hep-th
gr-qc
keywords
geometriesdiracembeddedequationaddressedanalyzedapplycase
read the original 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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