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Evolution of the Quantum Friedmann Universe Featuring Radiation

General Relativity and Quantum Cosmology · Submitted 7 Feb 2000

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

The authors' main claim It has been shown that, under certain conditions, the quantum universe can be in quasistationary states.

how it is stated · asserted 0.95 read the record →

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arXiv IDgr-qc/0002029 (version 1)
Pith IDIXWRMUZE, Pith's permanent record of this paper and its review
CitationV. V. Kuzmichev (Bogolyubov Institute for Theoretical Physics). "Evolution of the Quantum Friedmann Universe Featuring Radiation." arXiv:gr-qc/0002029 (2000). https://pith.science/paper/IXWRMUZE
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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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,069 input tokens, $0.0003 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.43 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.44 · compares with prior results 0.09 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

The classical and quantum models of the Friedmann universe originally filled with a scalar field and radiation have been studied. The radiation has been used to specify a reference frame that makes it possible to remove ambiguities in choosing the time coordinate. Solutions to the Einstein and Schroedinger equations have been studied under the assumption that the rate of scalar-field variation is much less than the rate of universe expansion (contraction). It has been shown that, under certain conditions, the quantum universe can be in quasistationary states. The probability that the universe goes over to states with large quantum numbers owing to the interaction of the scalar and gravitational fields is nonzero. It has been shown that, in the lowest state, the scale factor is on order of the Planck length. The matter- and radiation-energy densities in the Planck era have been computed. The possible scenarios of Universe evolution are discussed.

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 The classical and quantum models of the Friedmann universe originally filled with a scalar field and radiation have been studied. contribution 0.77 0.64 0.04 asserted 0.95
s1 The radiation has been used to specify a reference frame that makes it possible to remove ambiguities in choosing the time coordinate. method 0.95 0.67 0.04 asserted 1.00
s2 Solutions to the Einstein and Schroedinger equations have been studied under the assumption that the rate of scalar-field variation is much less than the rate of universe expansion (contraction). method 0.87 0.83 0.04 asserted 0.88
s3 It has been shown that, under certain conditions, the quantum universe can be in quasistationary states. result 1.00 0.88 0.28 asserted 0.95
s4 The probability that the universe goes over to states with large quantum numbers owing to the interaction of the scalar and gravitational fields is nonzero. result 1.00 0.84 0.19 asserted 0.93
s5 It has been shown that, in the lowest state, the scale factor is on order of the Planck length. result 1.00 0.89 0.18 asserted 1.00
s6 The matter- and radiation-energy densities in the Planck era have been computed. result 0.93 0.90 0.07 asserted 1.00
s7 The possible scenarios of Universe evolution are discussed. interpretation 0.52 0.71 0.07 unclear 0.52

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

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • 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

The classical and quantum models of the Friedmann universe originally filled with a scalar field and radiation have been studied. The radiation has been used to specify a reference frame that makes it possible to remove ambiguities in choosing the time coordinate. Solutions to the Einstein and Schroedinger equations have been studied under the assumption that the rate of scalar-field variation is much less than the rate of universe expansion (contraction). It has been shown that, under certain conditions, the quantum universe can be in quasistationary states. The probability that the universe goes over to states with large quantum numbers owing to the interaction of the scalar and gravitational fields is nonzero. It has been shown that, in the lowest state, the scale factor is on order of the Planck length. The matter- and radiation-energy densities in the Planck era have been computed. The possible scenarios of Universe evolution are discussed.

Human review
How the literature uses it

3 arXiv papers cite this in 4 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

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