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Precanonical Quantum Gravity: quantization without the space-time decomposition
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A nonpertubative approach to quantum gravity using precanonical field quantization originating from the covariant De Donder-Weyl Hamiltonian formulation which treats space and time variables on equal footing is presented. A generally covariant ``multi-temporal'' generalized Schroedinger equation on the finite dimensional space of metric and space-time variables is obtained. An important ingredient of the formulation is the ``bootstrap condition'' which introduces a classical space-time geometry as an approximate concept emerging as the quantum average in a self-consistent with the underlying quantum dynamics manner. An independence of the theory from an arbitrarily fixed background is ensured in this way. The prospects and unsolved problems of precanonical quantization of gravity are outlined.
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Cited by 1 Pith paper
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Effects of Quantum Spin-Connection Foam in the Solar System, Galaxies, and the Universe
A quantum gravity model is claimed to produce MOND and the cosmological constant, but the key derivation has algebraic errors and the numerical estimates are loose.
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