On precanonical quantization of gravity

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 Schrödinger 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.

6pp

References in corpus (3)

• On a generalization of the Dirac bracket in the De Donder-Weyl Hamiltonian formalism
• Precanonical quantization and the Schrödinger wave functional revisited
• On the precanonical structure of the Schrödinger wave functional

Cited by in corpus (9)

• Multisymplectic unified formalism for Einstein-Hilbert Gravity
• New multisymplectic approach to the Metric-Affine (Einstein-Palatini) action for gravity
• Ehrenfest Theorem in Precanonical Quantization
• Spin-compatible construction of a consistent quantum gravity model from minimum information
• Schrödinger Functional of a Quantum Scalar Field in Static Space-Times from Precanonical Quantization
• Precanonical structure of the Schrödinger wave functional in curved space-time
• An improved derivation of minimum information quantum gravity
• Particle interactions predicted from minimum information
• Tales from the prehistory of Quantum Gravity. Léon Rosenfeld's earliest contribution