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Excitation of Kaluza-Klein modes of U(1) field by parametric resonance

General Relativity and Quantum Cosmology · Submitted 10 May 2000

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

The authors' main claim In this paper, based on the theory of parametric resonance, we propose a cosmological criterion on ways of compactification: we rule out such a model of compactification that there exists a Kaluza-Klein mode satisfying $2m_{KK}=\omega_b$, where $m_{KK}$ is mass of the Kaluza-Klein mode and $\omega_b$ is the frequency of oscillation of the radius of the compact manifold on which extra dimensions are compactified.

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arXiv IDgr-qc/0005029 (version 1)
Pith IDRYAACXIE, Pith's permanent record of this paper and its review
CitationKunihito Uzawa, Shinji Mukohyama, Yoshiyuki Morisawa. "Excitation of Kaluza-Klein modes of U(1) field by parametric resonance." arXiv:gr-qc/0005029 (2000). https://pith.science/paper/RYAACXIE
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,340 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.57 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.35 · compares with prior results 0.80 · mentions code or data availability 0.02.

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

In this paper, based on the theory of parametric resonance, we propose a cosmological criterion on ways of compactification: we rule out such a model of compactification that there exists a Kaluza-Klein mode satisfying $2m_{KK}=\omega_b$, where $m_{KK}$ is mass of the Kaluza-Klein mode and $\omega_b$ is the frequency of oscillation of the radius of the compact manifold on which extra dimensions are compactified. This is a restatement of the criterion proposed previously [S. Mukohyama, Phys. Rev. {\bf D57}, 6191 (1998)]. As an example, we consider a model of compactification by a sphere and investigate Kaluza-Klein modes of U(1) field. In this case the parametric resonance is so mild that the sphere model is not ruled out.

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 In this paper, based on the theory of parametric resonance, we propose a cosmological criterion on ways of compactification: we rule out such a model of compactification that there exists a Kaluza-Klein mode satisfying $2m_{KK}=\omega_b$, where $m_{KK}$ is mass of the Kaluza-Klein mode and $\omega_b$ is the frequency of oscillation of the radius of the compact manifold on which extra dimensions are compactified. contribution 0.93 0.73 0.86 asserted 0.99
s1 This is a restatement of the criterion proposed previously [S. background 0.97 0.12 0.06 asserted 0.88
s2 Mukohyama, Phys. Rev. {\bf D57}, 6191 (1998)]. background 1.00 0.04 0.03 unclear 0.73
s3 As an example, we consider a model of compactification by a sphere and investigate Kaluza-Klein modes of U(1) field. method 0.57 0.83 0.04 asserted 0.82
s4 In this case the parametric resonance is so mild that the sphere model is not ruled out. result 0.86 0.84 0.17 asserted 0.99

What kind of paper the classifier reports this is: theoretical result 0.80 · evidence from proof or derivation 0.67.

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Original abstract

In this paper, based on the theory of parametric resonance, we propose a cosmological criterion on ways of compactification: we rule out such a model of compactification that there exists a Kaluza-Klein mode satisfying $2m_{KK}=\omega_b$, where $m_{KK}$ is mass of the Kaluza-Klein mode and $\omega_b$ is the frequency of oscillation of the radius of the compact manifold on which extra dimensions are compactified. This is a restatement of the criterion proposed previously [S. Mukohyama, Phys. Rev. {\bf D57}, 6191 (1998)]. As an example, we consider a model of compactification by a sphere and investigate Kaluza-Klein modes of U(1) field. In this case the parametric resonance is so mild that the sphere model is not ruled out.

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