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T.P. Shestakova, in Proceedings of Russian summer school-seminar on Gravitation and Cosmology "GRACOS-2007", Kazan (2007), p.179, arXiv:0801.4854v1 [gr-qc].

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Article

Bosonic Quantum Gravity According to the Global One-Dimensionality Conjecture

1Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research in Dubna, Russia


Applied Mathematics and Physics. 2014, Vol. 2 No. 3, 59-65
DOI: 10.12691/amp-2-3-1
Copyright © 2014 Science and Education Publishing

Cite this paper:
Lukasz Andrzej Glinka. Bosonic Quantum Gravity According to the Global One-Dimensionality Conjecture. Applied Mathematics and Physics. 2014; 2(3):59-65. doi: 10.12691/amp-2-3-1.

Correspondence to: Lukasz  Andrzej Glinka, Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research in Dubna, Russia. Email: laglinka@gmail.com; lukaszglinka@wp.eu

Abstract

In this paper, making use of the global one-dimensionality conjecture, we discuss the reduction of the Wheeler–DeWitt quantum geometrodynamics to the Klein–Gordon equation describing the scalar bosonic particle. The method of second quantization in the appropriate Fock space is applied, and, employing both the Bogoliubov transformation as well as Heisenberg equations of motion, the quantum gravity is expressed as evolution of the creators and annihilators related to the initial data. It is shown that this procedure leads to the understanding of the boson mass, through the one-point two-boson quantum correlations, as a scaled initial data mass.

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