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Classical analogous of quantum cosmological perfect fluid models

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A.B. Batista, J.C. Fabris, S.V.B. Goncalves, J. Tossa

General Relativity and Quantum Cosmology · Submitted 28 Nov 2000

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

The authors' main claim We show that such models are equivalent to a classical system where, besides the perfect fluid, a repulsive fluid with an equation of state $p_Q = \rho_Q$ is present.

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arXiv IDgr-qc/0011102 (version 1)
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CitationA.B. Batista, J.C. Fabris, J. Tossa, S.V.B. Goncalves. "Classical analogous of quantum cosmological perfect fluid models." arXiv:gr-qc/0011102 (2000). https://pith.science/paper/XFKRKMIZ
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,636 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.16 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.18 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

Quantization in the mini-superspace of a gravity system coupled to a perfect fluid, leads to a solvable model which implies singularity free solutions through the construction of a superposition of the wavefunctions. We show that such models are equivalent to a classical system where, besides the perfect fluid, a repulsive fluid with an equation of state $p_Q = \rho_Q$ is present. This leads to speculate on the true nature of this quantization procedure. A perturbative analysis of the classical system reveals the condition for the stability of the classical system in terms of the existence of an anti-gravity phase.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Quantization in the mini-superspace of a gravity system coupled to a perfect fluid, leads to a solvable model which implies singularity free solutions through the construction of a superposition of the wavefunctions. result 0.51 0.46 0.25 asserted 1.00
s1 We show that such models are equivalent to a classical system where, besides the perfect fluid, a repulsive fluid with an equation of state $p_Q = \rho_Q$ is present. result 0.92 0.89 0.68 asserted 1.00
s2 This leads to speculate on the true nature of this quantization procedure. interpretation 1.00 0.19 0.07 speculative 0.94
s3 A perturbative analysis of the classical system reveals the condition for the stability of the classical system in terms of the existence of an anti-gravity phase. result 0.78 0.87 0.16 asserted 0.97

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

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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

Quantization in the mini-superspace of a gravity system coupled to a perfect fluid, leads to a solvable model which implies singularity free solutions through the construction of a superposition of the wavefunctions. We show that such models are equivalent to a classical system where, besides the perfect fluid, a repulsive fluid with an equation of state $p_Q = \rho_Q$ is present. This leads to speculate on the true nature of this quantization procedure. A perturbative analysis of the classical system reveals the condition for the stability of the classical system in terms of the existence of an anti-gravity phase.

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4 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 whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 1 paper

Papers citing it · 3 sentences without a confident label

Uses its method or tool 2 papers
  • According to Schutz's representation for the perfect fluid [ref] , its Hamiltonian can be viewed as (see [ref] for details) [equation] where $T$ is a dynamical variable related to the thermodynamical parameters of the perfect fluid and $P_T$ is its conjugate momentum.

    Classical and quantum Ho\v{r}ava-Lifshitz cosmology in a minisuperspace perspective · The model · 0.97

  • According to Schutz's representation for the perfect fluid [ref] , its Hamiltonian can be viewed as (see [ref] for details) [equation] where $T$ is a dynamical variable related to the thermodynamical parameters of the perfect fluid and $P_T$ is its conjugate momentum.

    Classical and quantum massive cosmology for the open FRW universe · Preliminary set-up · 0.94

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