Cosmological dynamics in tomographic probability representation

TL;DR

This paper introduces a probabilistic approach to cosmological quantum states using tomographic probability distributions, providing a new framework for describing universe evolution and potential observational applications.

Contribution

It develops a novel probability representation for quantum cosmology, replacing wave functions with tomographic distributions and expressing universe dynamics through positive transition probabilities.

Findings

Formulation of universe states via tomographic probabilities

Representation of cosmological evolution with positive transition probabilities

Examples of minisuperspace models in the new framework

Abstract

The probability representation for quantum states of the universe in which the states are described by a fair probability distribution instead of wave function (or density matrix) is developed to consider cosmological dynamics. The evolution of the universe state is described by standard positive transition probability (tomographic transition probability) instead of the complex transition probability amplitude (Feynman path integral) of the standard approach. The latter one is expressed in terms of the tomographic transition probability. Examples of minisuperspaces in the framework of the suggested approach are presented. Possibility of observational applications of the universe tomographs are discussed.