Tomographic Representation of Minisuperspace Quantum Cosmology and Noether Symmetries

Abstract

The probability representation, in which cosmological quantum states are described by a standard positive probability distribution, is constructed for minisuperspace models selected by Noether symmetries. In such a case, the tomographic probability distribution provides the classical evolution for the models and can be considered an approach to select "observable" universes. Some specific examples, derived from Extended Theories of Gravity, are worked out. We discuss also how to connect tomograms, symmetries and cosmological parameters.

15 pages

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Cited by in corpus (9)

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• Constraining f(T) teleparallel gravity by Big Bang Nucleosynthesis
• Noether symmetry of F(T) cosmology with quintessence and phantom scalar fields
• Einstein, Planck and Vera Rubin: relevant encounters between the Cosmological and the Quantum Worlds
• Noether symmetry in $f(T)$ teleparallel gravity
• Emergent classical universes from initial quantum states in a tomographical description
• A tomographic description for classical and quantum cosmological perturbations
• Tomographic analysis of the De Sitter model in quantum and classical cosmology
• Bouncing and coasting universe with exact quantum-classical correspondence