A tomographic description for classical and quantum cosmological perturbations

TL;DR

This paper introduces a tomographic framework for describing classical and quantum cosmological perturbations, linking quantum and classical regimes and providing a scheme to connect primordial fluctuations with large-scale structure.

Contribution

It proposes a novel tomographic approach using Radon transformation and quantum oscillator models to unify quantum and classical cosmological perturbations.

Findings

Provides a scheme to transition from quantum to classical perturbations.

Connects primordial fluctuations with observed large-scale structure.

Offers a new perspective on cosmological perturbation analysis.

Abstract

Classical and quantum perturbations can be described in terms of marginal distribution functions in the framework of tomographic cosmology. In particular, the so called Radon transformation and the mode-parametric quantum oscillator description can give rise to links between quantum and classical regimes. The approach results a natural scheme to discuss the transition from the quantum to the classical perturbations and then it could be a workable scheme to connect primordial fluctuations with the today observed large scale structure.