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  Dirac equation for embedded four-geometries

Trzetrzelewski, M. T. (2013). Dirac equation for embedded four-geometries. International Journal of Modern Physics D, 22(6): 13500247. doi:10.1142/S0218271813500247.

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Trzetrzelewski, M. T.1, Author           
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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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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 Dates: 2012-03-132013
 Publication Status: Issued
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 Identifiers: DOI: 10.1142/S0218271813500247
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Title: International Journal of Modern Physics D
  Other : Int. J. Mod. Phys. D
Source Genre: Journal
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Publ. Info: Singapore : World Scientific
Pages: - Volume / Issue: 22 (6) Sequence Number: 13500247 Start / End Page: - Identifier: ISSN: 0218-2718
CoNE: https://pure.mpg.de/cone/journals/resource/954925493947