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Equations of motion in Double Field Theory: from classical particles to quantum cosmology

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Nahomi Kan (Yamaguchi Junior College), Koichiro Kobayashi, Kiyoshi Shiraishi (Yamaguchi University)

High Energy Physics - Theory · Submitted 29 Jan 2012

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

The authors' main claim We find that the motion is described by a geodesic flow in the doubled geometry.

how it is stated · asserted 1.00 read the record →

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arXiv ID1201.6023 (version 1)
Pith ID2QVUNWIL, Pith's permanent record of this paper and its review
CitationKiyoshi Shiraishi (Yamaguchi University), Koichiro Kobayashi, Nahomi Kan (Yamaguchi Junior College). "Equations of motion in Double Field Theory: from classical particles to quantum cosmology." arXiv:1201.6023 (2012). https://pith.science/paper/2QVUNWIL
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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-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,544 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.05 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.08 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

The equation of motion for a point particle in the background field of double field theory is considered. We find that the motion is described by a geodesic flow in the doubled geometry. Inspired by analysis on the particle motion, we propose a modified model of quantum string cosmology, which includes two scale factors. The report is based on Phys. Rev. D84 (2011) 124049 [arXiv:1108.5795].

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 equation of motion for a point particle in the background field of double field theory is considered. background 0.53 0.34 0.03 asserted 0.66
s1 We find that the motion is described by a geodesic flow in the doubled geometry. result 1.00 0.90 0.40 asserted 1.00
s2 Inspired by analysis on the particle motion, we propose a modified model of quantum string cosmology, which includes two scale factors. contribution 0.98 0.84 0.40 asserted 0.74
s3 The report is based on Phys. Rev. D84 (2011) 124049 [arXiv:1108.5795]. background 0.97 0.04 0.02 asserted 0.91

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.72.

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  • references and citing sentences
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  • 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 equation of motion for a point particle in the background field of double field theory is considered. We find that the motion is described by a geodesic flow in the doubled geometry. Inspired by analysis on the particle motion, we propose a modified model of quantum string cosmology, which includes two scale factors. The report is based on Phys. Rev. D84 (2011) 124049 [arXiv:1108.5795].

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References
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3 arXiv papers cite this in 3 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

Cites it as background 3 papers
  • Ref. [ref] are devoted to applications of DFT on cosmology.

    New Cosmological Signatures from Double Field Theory · Introduction · 0.94

  • Namely, while doubling the spacetime dimension is sufficient to manifest the $$ structure, the double-gauge symmetry ([ref]) calls for novel mathematical treatments, such as generalized geometry [ref] , Siegel's formalism [ref] and our own approach [ref] (see also [ref] for a similar analysis, [ref] for $$-theory extensions, and especially [ref] for $E_11$ approaches[For recent developments related to DFT we refer to [ref] .]).

    Ramond-Ramond Cohomology and O(D,D) T-duality · Introduction · 0.86

  • After its orginal inception [ref] and development [ref] there has been a huge number of works by a variety of groups extending the formalism in numerous directions and exploring its consequences [ref] .

    Supersymmetry for Gauged Double Field Theory and Generalised Scherk-Schwarz Reductions · Introduction · 0.99

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