Abstract
Hawking's conclusion that a pure state of an elementary particle converts into a mixed state as a result of a coupling with real and virtual black holes and that it is necessary to abandon the description of elementary particles by means of aψ function in quantum gravitation is subjected to a critical analysis. An examination of a specific example — the motion of particles of nonzero mass and of photons in the field of a charged black hole — does not support Hawking's conclusion. Ellis's estimates of a lower (energy) limit on the applicability of quantum mechanics has been improved by 40 orders of magnitude.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 19–23, September, 1988.
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Gertsenshtein, M.E. Is it necessary to abandon the ψ function in quantum gravitation?. Soviet Physics Journal 31, 703–707 (1988). https://doi.org/10.1007/BF00895975
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DOI: https://doi.org/10.1007/BF00895975