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Lorentz transformation and vector field flows

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Shao-Hsuan Chiu, T. K. Kuo

Mathematical Physics · Submitted 23 May 2002

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

The authors' main claim The parameter changes resulting from a combination of Lorentz transformation are shown to form vector field flows.

how it is stated · asserted 1.00 read the record →

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arXiv IDmath-ph/0205036 (version 2)
Pith IDRN4PBN5I, Pith's permanent record of this paper and its review
CitationShao-Hsuan Chiu, T. K. Kuo. "Lorentz transformation and vector field flows." arXiv:math-ph/0205036 (2002). https://pith.science/paper/RN4PBN5I
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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, 3,436 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.04 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.16 · compares with prior results 0.05 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

The parameter changes resulting from a combination of Lorentz transformation are shown to form vector field flows. The exact, finite Thomas rotation angle is determined and interpreted intuitively. Using phase portraits, the parameters evolution can be clearly visualized. In addition to identifying the fixed points, we obtain an analytic invariant, which correlates the evolution of parameters.

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 parameter changes resulting from a combination of Lorentz transformation are shown to form vector field flows. result 0.85 0.85 0.62 asserted 1.00
s1 The exact, finite Thomas rotation angle is determined and interpreted intuitively. result 0.96 0.90 0.20 asserted 1.00
s2 Using phase portraits, the parameters evolution can be clearly visualized. method 0.96 0.82 0.08 asserted 0.96
s3 In addition to identifying the fixed points, we obtain an analytic invariant, which correlates the evolution of parameters. result 0.87 0.94 0.19 asserted 1.00

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
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  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • 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 parameter changes resulting from a combination of Lorentz transformation are shown to form vector field flows. The exact, finite Thomas rotation angle is determined and interpreted intuitively. Using phase portraits, the parameters evolution can be clearly visualized. In addition to identifying the fixed points, we obtain an analytic invariant, which correlates the evolution of parameters.

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