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arXiv · 1407.3101

On precanonical quantization of gravity

I. V. Kanatchikov
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Abstract

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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I. V. Kanatchikov. 2014-07-11. On precanonical quantization of gravity. https://arxiv.org/abs/1407.3101

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