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Quantization of Gravity: Yet Another Way
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Recently proposed quantization in field theory based on an analogue of Hamiltonian formulation which treats space and time on equal footing (the so-called De Donder-Weyl theory) is applied to General Relativity in metric variables. We formulate a covariant analogue of the Schroedinger equation for the wave function of space-time and metric variables and a supplementary ``bootstrap condition'' which enables us to incorporate classical metric geometry as an approximate notion - a result of quantum averaging - in the self-consistent with the underlying quantum dynamics way. In this sense an independence of an arbitrarily chosen metric background is ensured.
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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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