A note on the noncommutative correction to gravity

Anirban Saha; Pradip Mukherjee

RECORD

A note on the noncommutative correction to gravity

Pradip Mukherjee, Anirban Saha

High Energy Physics - Theory · Submitted 30 May 2006

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

The authors' main claim We show by direct computation that actually there is no such controvarsy and all perturbative NC corrections start from the second order in the NC parameter.

how it is stated · asserted 1.00 read the record →

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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, 2,894 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.62 · compares with prior results 0.81 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

An apparent contradiction in the leading order correction to noncommutative (NC) gravity reported in the literature has been pointed out. We show by direct computation that actually there is no such controvarsy and all perturbative NC corrections start from the second order in the NC parameter. The role of symmetries in the vanishing of the first order correction is manifest in our calculation.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	An apparent contradiction in the leading order correction to noncommutative (NC) gravity reported in the literature has been pointed out.	background 0.97	0.13	0.06	asserted 0.97
s1	We show by direct computation that actually there is no such controvarsy and all perturbative NC corrections start from the second order in the NC parameter.	result 0.97	0.95	0.92	asserted 1.00
s2	The role of symmetries in the vanishing of the first order correction is manifest in our calculation.	interpretation 0.90	0.85	0.09	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.86 · evidence from proof or derivation 0.90.

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

An apparent contradiction in the leading order correction to noncommutative (NC) gravity reported in the literature has been pointed out. We show by direct computation that actually there is no such controvarsy and all perturbative NC corrections start from the second order in the NC parameter. The role of symmetries in the vanishing of the first order correction is manifest in our calculation.

Human review

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References

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Emergent Gravity from Noncommutative Gauge Theory
hep-th 2007-08 conditional novelty 6.0 of 10

The matrix-model action for noncommutative U(n) gauge theory is reinterpreted as SU(n) gauge theory coupled to an emergent metric determined by a dynamical Poisson structure.
Parameterized Post-Einsteinian Gravitational Waveforms in Various Modified Theories of Gravity
gr-qc 2018-09 accept novelty 5.0 of 10

The authors derive parameterized corrections to gravitational-wave amplitude and phase in six modified gravity theories and in varying-G theories, extending prior work that focused on phase corrections only.
Symmetry, Gravity and Noncommutativity
hep-th 2006-06 accept novelty 2.0 of 10

Noncommutative Yang-Mills theory can be recast as a teleparallel gravity theory, and twisted spacetime symmetries provide a route to a noncommutative deformation of general relativity.

How the literature uses it

13 arXiv papers cite this in 18 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 2 papers

Our results demonstrate that notwithstanding the introduction of more general noncommutative structure there is no first order correction, exactly as happens for a canonical (i.e. constant) noncommutativity.

Lie algebraic Noncommutative Gravity · 0.91
These corrections appear in the second order of the expansion in theta.

Second Order Noncommutative Corrections to Gravity · 0.84

States a conflicting result 1 paper

It is shown that, after the Seiberg-Witten map, in the corresponding theory the lowest order corrections are first order in the non-commutativity parameter \theta.

Noncommutative Gravity in Six Dimensions · 0.99

Papers citing it · 11 sentences without a confident label

Cites it as background 7 papers

The theory has been ubiquitous in classical gravity [ref] as well as in its extension to noncommutative spacetime [ref] .

Poincare gauge theory from higher derivative matter lagrangean · Introduction · 0.96
Several formulations of noncommutative gravity exist [ref] , though the first order noncommutative correction vanishes in all of them [ref] and the leading order correction enters at second order.

Parameterized Post-Einsteinian Gravitational Waveforms in Various Modified Theories of Gravity · Noncommutative Gravity · 0.89
Noncommutative gravity models are being investigated since many years and from several perspectives [ref] .

Noncommutative gravity with self-dual variables · Introduction · 1.00

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