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Cosmological Constant and Noncommutative Spacetime

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Xavier Calmet

High Energy Physics - Theory · Submitted 19 Oct 2005

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

The authors' main claim We show that spacetime noncommutativity provides a very natural justification to an unimodular gravity solution to the cosmological problem.

how it is stated · asserted 0.98 read the record →

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arXiv IDhep-th/0510165 (version 1)
Pith IDT3LXLX7U, Pith's permanent record of this paper and its review
CitationXavier Calmet. "Cosmological Constant and Noncommutative Spacetime." arXiv:hep-th/0510165 (2005). https://pith.science/paper/T3LXLX7U
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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-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,819 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.14 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.29 · compares with prior results 0.09 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

We show that the cosmological constant appears as a Lagrange multiplier if nature is described by a canonical noncommutative spacetime. It is thus an arbitrary parameter unrelated to the action and thus to vacuum fluctuations. The noncommutative algebra restricts general coordinate transformations to four-volume preserving noncommutative coordinate transformations. The noncommutative gravitational action is thus an unimodular noncommutative gravity. We show that spacetime noncommutativity provides a very natural justification to an unimodular gravity solution to the cosmological problem. We obtain the right order of magnitude for the critical energy density of the universe if we assume that the scale for spacetime noncommutativity is the Planck scale.

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 show that the cosmological constant appears as a Lagrange multiplier if nature is described by a canonical noncommutative spacetime. result 0.89 0.93 0.70 asserted 1.00
s1 It is thus an arbitrary parameter unrelated to the action and thus to vacuum fluctuations. interpretation 0.84 0.67 0.22 asserted 1.00
s2 The noncommutative algebra restricts general coordinate transformations to four-volume preserving noncommutative coordinate transformations. result 0.90 0.62 0.09 asserted 1.00
s3 The noncommutative gravitational action is thus an unimodular noncommutative gravity. result 0.59 0.58 0.16 asserted 1.00
s4 We show that spacetime noncommutativity provides a very natural justification to an unimodular gravity solution to the cosmological problem. interpretation 0.94 0.87 0.58 asserted 0.98
s5 We obtain the right order of magnitude for the critical energy density of the universe if we assume that the scale for spacetime noncommutativity is the Planck scale. result 1.00 0.92 0.21 asserted 0.72

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.98.

What was examined, and what was not

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  • references and citing sentences
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  • T body sentences
  • C citations
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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 show that the cosmological constant appears as a Lagrange multiplier if nature is described by a canonical noncommutative spacetime. It is thus an arbitrary parameter unrelated to the action and thus to vacuum fluctuations. The noncommutative algebra restricts general coordinate transformations to four-volume preserving noncommutative coordinate transformations. The noncommutative gravitational action is thus an unimodular noncommutative gravity. We show that spacetime noncommutativity provides a very natural justification to an unimodular gravity solution to the cosmological problem. We obtain the right order of magnitude for the critical energy density of the universe if we assume that the scale for spacetime noncommutativity is the Planck scale.

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References
How the literature uses it

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 citing it · 1 sentence without a confident label

Contests it 1 paper
Cites it as background 1 paper
  • Based on these concepts, the moyal star product as well as the Seiberg-Witten maps, in [ref] , [ref] , [ref] , [ref] were considered spacetime symmetries and general relativity on noncommutative spacetime.

    Conformal Gravity on Noncommutative Spacetime · Introduction · 0.88

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