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A proof of slow-roll local decay of inflaton fields in cosmology and axion fields in cold dark matter models

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Matías Morales, Claudio Muñoz

Analysis of PDEs · Submitted 2 May 2023

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

The authors' main claim Here we prove that these models fit in the theory of dispersive decay by computing new virials adapted to their setting.

how it is stated · asserted 1.00 read the record →

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arXiv ID2305.01495 (version 2)
Pith IDA6QWW4Y5, Pith's permanent record of this paper and its review
CitationClaudio Mu\~noz, Mat\'ias Morales. "A proof of slow-roll local decay of inflaton fields in cosmology and axion fields in cold dark matter models." arXiv:2305.01495 (2023). https://pith.science/paper/A6QWW4Y5
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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-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,560 input tokens.

What the abstract itself states, as probabilities: claims first 0.15 · states limitation 0.17 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.16 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We consider the long time behavior of solutions to scalar field models appearing in the theory of cosmological inflation (oscillons) and cold dark matter, in presence or absence of the cosmological constant. These models are not included in standard mathematical literature due to their unusual nonlinearities, which model different features to classical ones. Here we prove that these models fit in the theory of dispersive decay by computing new virials adapted to their setting. Several important examples, candidates to model both effects are studied in detail.

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 We consider the long time behavior of solutions to scalar field models appearing in the theory of cosmological inflation (oscillons) and cold dark matter, in presence or absence of the cosmological constant. background 0.82 0.28 0.04 asserted 0.53
s1 These models are not included in standard mathematical literature due to their unusual nonlinearities, which model different features to classical ones. gap 0.53 0.07 0.02 asserted 1.00
s2 Here we prove that these models fit in the theory of dispersive decay by computing new virials adapted to their setting. contribution 0.65 0.96 0.86 asserted 1.00
s3 Several important examples, candidates to model both effects are studied in detail. contribution 0.97 0.82 0.05 asserted 0.93

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

What was examined, and what was not

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  • arXiv listing abstract v2
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

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

We consider the long time behavior of solutions to scalar field models appearing in the theory of cosmological inflation (oscillons) and cold dark matter, in presence or absence of the cosmological constant. These models are not included in standard mathematical literature due to their unusual nonlinearities, which model different features to classical ones. Here we prove that these models fit in the theory of dispersive decay by computing new virials adapted to their setting. Several important examples, candidates to model both effects are studied in detail.

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What this paper does with the arXiv papers it cites

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 · 2 sentences without a confident label

Cites as background 3 papers
  • These are the so-called Natural inflation (- sign) [ref] and Axion potential (+ sign) [ref] (see Fig. [ref]) [equation] In both cases it is assumed that the field $ϕ$ is no larger than $π/2$ in absolute value.

    Axion Stars · Natural Inflation and Axion potentials · 0.80

  • The precise value of today's Hubble parameter (and the consequent equipartition of mass-energy of the universe) is matter of a hot controversy [ref] , between essentially two methods of measuring $H$ (among other important observables) that differ in their outputs: measures using the local distance ladder and those inferred using the CMB and galaxy surveys.

    In the Realm of the Hubble tension $-$ a Review of Solutions · The theory of Inflation · 0.85

  • The precise value of today's Hubble parameter (and the consequent equipartition of mass-energy of the universe) is matter of a hot controversy [ref] , between essentially two methods of measuring $H$ (among other important observables) that differ in their outputs: measures using the local distance ladder and those inferred using the CMB and galaxy surveys.

    The $H_0$ Olympics: A fair ranking of proposed models · The theory of Inflation · 0.85

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