Formulation of an Evolutionary Quantum Cosmology
Giovanni Montani
TL;DR
This paper develops an evolutionary framework for quantum cosmology, emphasizing the role of 3-tensors and the super-Hamiltonian, applicable to universes near the initial singularity.
Contribution
It introduces a novel evolutionary formulation of quantum cosmology based on tensorial quantities and the behavior of the super-Hamiltonian near singularities.
Findings
Super-Hamiltonian no longer vanishes in this formulation
Framework applicable to universes approaching the initial singularity
Provides a new perspective on quantum cosmological evolution
Abstract
We provide an evolutionary formulation of a generic quantum cosmology. Our starting point is the request that all quantities living on the slicing have to be 3-tensors. This statement, when applied to the lapse function and the shift vector, yields the no longer vanishing behavior of the super-Hamiltonian. Then, we provide the formulation of an evolutionary quantum cosmology in correspondence to a generic Universe asymptotically to the initial singularity.
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Taxonomy
TopicsCosmology and Gravitation Theories · Black Holes and Theoretical Physics · Noncommutative and Quantum Gravity Theories