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Decoherence of gauge-invariant metric fluctuations during inflation

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Mauricio Bellini (IFM, Universidad Michoacana)

General Relativity and Quantum Cosmology · Submitted 2 May 2001

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

The authors' main claim I find that the phase space of the quantum state for super Hubble scalar metric perturbations loses its coherence at the end of inflation.

how it is stated · asserted 1.00 read the record →

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arXiv IDgr-qc/0105011 (version 2)
Pith ID4IIL24TD, Pith's permanent record of this paper and its review
CitationMauricio Bellini (IFM, Universidad Michoacana). "Decoherence of gauge-invariant metric fluctuations during inflation." arXiv:gr-qc/0105011 (2001). https://pith.science/paper/4IIL24TD
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,846 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.13 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.04 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

I study the gauge-invariant fluctuations of the metric during inflation. In the infrared sector the metric fluctuations can be represented by a coarse-grained field. We can write a Schroedinger equation for the coarse-grained metric fluctuations which is related to an effective Hamiltonian for a time dependent parameter of mass harmonic oscillator with a stochastic external force. I study the wave function for a power-law expanding universe. I find that the phase space of the quantum state for super Hubble scalar metric perturbations loses its coherence at the end of inflation. This effect is a consequence of interference between the super Hubble metric perturbations and its canonical conjugate variable, which is produced by the interaction of the coarse-grained scalar metric fluctuation with the environment.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 I study the gauge-invariant fluctuations of the metric during inflation. contribution 0.95 0.93 0.02 asserted 0.85
s1 In the infrared sector the metric fluctuations can be represented by a coarse-grained field. method 0.70 0.38 0.03 hedged possibility 0.59
s2 We can write a Schroedinger equation for the coarse-grained metric fluctuations which is related to an effective Hamiltonian for a time dependent parameter of mass harmonic oscillator with a stochastic external force. method 0.97 0.81 0.05 asserted 0.77
s3 I study the wave function for a power-law expanding universe. contribution 0.61 0.90 0.03 asserted 0.91
s4 I find that the phase space of the quantum state for super Hubble scalar metric perturbations loses its coherence at the end of inflation. result 1.00 0.95 0.84 asserted 1.00
s5 This effect is a consequence of interference between the super Hubble metric perturbations and its canonical conjugate variable, which is produced by the interaction of the coarse-grained scalar metric fluctuation with the environment. interpretation 0.99 0.73 0.26 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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  • T body sentences
  • C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

I study the gauge-invariant fluctuations of the metric during inflation. In the infrared sector the metric fluctuations can be represented by a coarse-grained field. We can write a Schroedinger equation for the coarse-grained metric fluctuations which is related to an effective Hamiltonian for a time dependent parameter of mass harmonic oscillator with a stochastic external force. I study the wave function for a power-law expanding universe. I find that the phase space of the quantum state for super Hubble scalar metric perturbations loses its coherence at the end of inflation. This effect is a consequence of interference between the super Hubble metric perturbations and its canonical conjugate variable, which is produced by the interaction of the coarse-grained scalar metric fluctuation with the environment.

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References
How the literature uses it

5 arXiv papers cite this in 5 sentences

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

Papers citing it · 3 sentences without a confident label

Cites it as background 2 papers
  • The stochastic formalism was introduced in cosmology by Starobinsky [ref] to describe the effects of random vacuum fluctuations on inflationary dynamics [ref] .

    Quantum Effects in Cosmology · Stochastic Formalism · 0.95

  • This observation has invited many proposals to try to find observational tests of the quantum nature of primordial fluctuations [ref] , and (starting in very early days [ref] has also stimulated many estimates of the rate with which these fluctuations decohere due to the presence of the cosmic environment in which they are found.

    Tensor Catalyzed Decoherence of Primordial Scalar Fluctuations · Introduction · 0.98

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