Tomographic Representation of Minisuperspace Quantum Cosmology and Noether Symmetries

Understand

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.