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N-body Gravity and the Schroedinger Equation

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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P.S. Farrugia, R.B. Mann, T.C. Scott

General Relativity and Quantum Cosmology · Submitted 27 Nov 2006

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

The authors' main claim We derive a general algorithm for solving this problem, and show how it reduces to known results for the 2-body and 3-body systems.

how it is stated · asserted 1.00 read the record →

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arXiv IDgr-qc/0611144 (version 2)
Pith IDIFVP4VWE, Pith's permanent record of this paper and its review
CitationP.S. Farrugia, R.B. Mann, T.C. Scott. "N-body Gravity and the Schroedinger Equation." arXiv:gr-qc/0611144 (2006). https://pith.science/paper/IFVP4VWE
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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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,565 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.11 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.80 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We consider the problem of the motion of $N$ bodies in a self-gravitating system in two spacetime dimensions. We point out that this system can be mapped onto the quantum-mechanical problem of an N-body generalization of the problem of the H$_{2}^{+}$ molecular ion in one dimension. The canonical gravitational N-body formalism can be extended to include electromagnetic charges. We derive a general algorithm for solving this problem, and show how it reduces to known results for the 2-body and 3-body systems.

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 the problem of the motion of $N$ bodies in a self-gravitating system in two spacetime dimensions. background 0.84 0.44 0.05 asserted 0.72
s1 We point out that this system can be mapped onto the quantum-mechanical problem of an N-body generalization of the problem of the H$_{2}^{+}$ molecular ion in one dimension. contribution 0.71 0.87 0.40 asserted 0.94
s2 The canonical gravitational N-body formalism can be extended to include electromagnetic charges. contribution 0.87 0.60 0.08 asserted 0.93
s3 We derive a general algorithm for solving this problem, and show how it reduces to known results for the 2-body and 3-body systems. contribution 0.73 0.95 0.36 asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.76 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • 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 the problem of the motion of $N$ bodies in a self-gravitating system in two spacetime dimensions. We point out that this system can be mapped onto the quantum-mechanical problem of an N-body generalization of the problem of the H$_{2}^{+}$ molecular ion in one dimension. The canonical gravitational N-body formalism can be extended to include electromagnetic charges. We derive a general algorithm for solving this problem, and show how it reduces to known results for the 2-body and 3-body systems.

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