A tomographic description for classical and quantum cosmological perturbations

C. Stornaiolo; G. Marmo; S. Capozziello; V.I. Man'ko

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A tomographic description for classical and quantum cosmological perturbations

S. Capozziello, V.I. Man'ko, G. Marmo, C. Stornaiolo

General Relativity and Quantum Cosmology · Submitted 8 May 2009

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim 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.

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arXiv ID0905.1244 (version 1)

Pith IDJEEZMUTO, Pith's permanent record of this paper and its review

CitationC. Stornaiolo, G. Marmo, S. Capozziello, V.I. Man'ko. "A tomographic description for classical and quantum cosmological perturbations." arXiv:0905.1244 (2009). https://pith.science/paper/JEEZMUTO

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.09 · mentions code or data availability 0.02.

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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.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Classical and quantum perturbations can be described in terms of marginal distribution functions in the framework of tomographic cosmology.	contribution 0.56	0.30	0.15	asserted 0.77
s1	In particular, the so called Radon transformation and the mode-parametric quantum oscillator description can give rise to links between quantum and classical regimes.	method 0.77	0.27	0.10	hedged possibility 0.95
s2	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.	interpretation 0.97	0.68	0.72	hedged possibility 0.89

What kind of paper the classifier reports this is: method or tool 0.86 · evidence from proof or derivation 0.66.

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Original 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.

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Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

What it cites · 9 sentences without a confident label

Uses the method or tool of 1 paper

Instead of going into the usual procedure of canonical quantization of the above system, we want to indicate a different approach to quantize the perturbation field in terms of probability distribution functions in the way proposed in [ref] .

Symplectic tomography as classical approach to quantum systems · The probability representation for cosmological perturbations · 0.97

Cites as background 3 papers

Addressing the problem of cosmic evolution, starting from the inflationary mechanism [ref] up to the observed scenario, as well as the problem of producing classical perturbations starting from the quantum ones, have been the subject of several studies during the last decades [ref] .

Quantum-to-classical Transition of Cosmological Perturbations for Non-vacuum Initial States · Introduction · 1.00
Addressing the problem of cosmic evolution, starting from the inflationary mechanism [ref] up to the observed scenario, as well as the problem of producing classical perturbations starting from the quantum ones, have been the subject of several studies during the last decades [ref] .

Quantum-to-classical transition for fluctuations in the early Universe · Introduction · 1.00
where $f(R), F(Φ), W(Φ)$ are generic functions of the Ricci scalar $R$ and a scalar field $Φ$, respectively can be adopted in view to face several cosmological problems ranging from inflation to dark energy (see e.g. [ref] for reviews).

f(R) Theories Of Gravity · The field theory of perturbations · 0.94

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