With the help of the Dirac procedure for extracting the root from the Hamiltonian operator of the free gravitational field in flat superspace-time, we have constructed a Dirac quantum geometrodynamics with fractional spin for energies greater than the Planck energy Е > 1019 GeV.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 126–132, March, 2015.
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Lasukov, V.V., Il’kin, E.E. & Novoselov, V.V. Dirac Quantum Geometrodynamics. Russ Phys J 58, 423–430 (2015). https://doi.org/10.1007/s11182-015-0516-7
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DOI: https://doi.org/10.1007/s11182-015-0516-7