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On precanonical quantization of gravity
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Precanonical quantization is based on the mathematical structures of the De Donder-Weyl Hamiltonization of field theories. The resulting formulation of quantum gravity describes the quantum geometry of space-time in terms of operator-valued distances and the transition amplitudes between the values of spin connection at different points of space-time, which obey the covariant precanonical analogue of the Schr\"odinger equation. In the context of quantum cosmology the theory predicts a probability distribution of a cosmological spin-connection field, which may have an observable impact on the large scale structures in the universe.
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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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