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Kappa-Deformed Phase Space and Uncertainty Relations

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A. Nowicki

Quantum Algebra · Submitted 15 Mar 1998

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

The authors' main claim Two kinds of the kappa-deformed uncertainty relations are briefly discussed.

how it is stated · asserted 0.79 read the record →

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arXiv IDmath/9803064 (version 1)
Pith IDWFBHOB2J, Pith's permanent record of this paper and its review
CitationA. Nowicki. "Kappa-Deformed Phase Space and Uncertainty Relations." arXiv:math/9803064 (1998). https://pith.science/paper/WFBHOB2J
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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, 2,244 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.12 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.07 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We consider two realizations of the $\kappa$-deformed phase space obtained as a cross product algebra extension of $k$-Poincar\'{e} algebra. Two kinds of the kappa-deformed uncertainty relations are briefly 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 We consider two realizations of the $\kappa$-deformed phase space obtained as a cross product algebra extension of $k$-Poincar\'{e} algebra. contribution 0.91 0.71 0.06 asserted 0.95
s1 Two kinds of the kappa-deformed uncertainty relations are briefly discussed. contribution 0.93 0.50 0.13 asserted 0.79

What kind of paper the classifier reports this is: theoretical result 0.84 · evidence from proof or derivation 0.92.

What was examined, and what was not

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  • arXiv listing abstract v1
not examined
  • full text
  • 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

We consider two realizations of the $\kappa$-deformed phase space obtained as a cross product algebra extension of $k$-Poincar\'{e} algebra. Two kinds of the kappa-deformed uncertainty relations are briefly discussed.

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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.

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