Almost-Commutative Geometries Beyond the Standard Model

Christoph A. Stephan

RECORD

Almost-Commutative Geometries Beyond the Standard Model

Christoph A. Stephan

High Energy Physics - Theory · Submitted 28 Sep 2005

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

The authors' main claim The corresponding almost-commutative geometry leads to a Yang-Mills-Higgs model which consists of the standard model of particle physics and two new fermions of opposite electro-magnetic charge.

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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, 4,250 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.20 · human participants 0.02 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.53 · compares with prior results 0.94 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

In [7-9] and [10] the conjecture is presented that almost-commutative geometries, with respect to sensible physical constraints, allow only the standard model of particle physics and electro-strong models as Yang-Mills-Higgs theories. In this publication a counter example will be given. The corresponding almost-commutative geometry leads to a Yang-Mills-Higgs model which consists of the standard model of particle physics and two new fermions of opposite electro-magnetic charge. This is the second Yang-Mills-Higgs model within noncommutative geometry, after the standard model, which could be compatible with experiments. Combined to a hydrogen-like composite particle these new particles provide a novel dark matter candidate.

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	In [7-9] and [10] the conjecture is presented that almost-commutative geometries, with respect to sensible physical constraints, allow only the standard model of particle physics and electro-strong models as Yang-Mills-Higgs theories.	background 0.99	0.04	0.05	speculative 0.84
s1	In this publication a counter example will be given.	contribution 0.95	0.80	0.31	asserted 1.00
s2	The corresponding almost-commutative geometry leads to a Yang-Mills-Higgs model which consists of the standard model of particle physics and two new fermions of opposite electro-magnetic charge.	result 0.87	0.91	0.56	asserted 1.00
s3	This is the second Yang-Mills-Higgs model within noncommutative geometry, after the standard model, which could be compatible with experiments.	result 0.54	0.73	0.18	hedged possibility 0.73
s4	Combined to a hydrogen-like composite particle these new particles provide a novel dark matter candidate.	interpretation 0.95	0.74	0.19	asserted 0.86

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

What was examined, and what was not

sources read

arXiv listing abstract v1

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

In [7-9] and [10] the conjecture is presented that almost-commutative geometries, with respect to sensible physical constraints, allow only the standard model of particle physics and electro-strong models as Yang-Mills-Higgs theories. In this publication a counter example will be given. The corresponding almost-commutative geometry leads to a Yang-Mills-Higgs model which consists of the standard model of particle physics and two new fermions of opposite electro-magnetic charge. This is the second Yang-Mills-Higgs model within noncommutative geometry, after the standard model, which could be compatible with experiments. Combined to a hydrogen-like composite particle these new particles provide a novel dark matter candidate.

Human review

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References

Forward citations

Cited by 4 Pith papers

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

New Physics Contributions to the Muon Anomalous Magnetic Moment: A Numerical Code
hep-ph 2014-03 conditional novelty 5.0 of 10

The paper provides a unified set of one-loop formulas and a public Mathematica code for computing new-physics contributions to the muon anomalous magnetic moment, together with mass bounds for each simplified model.
Composite Dark Matter with Invisible Light from Almost-Commutative Geometry
astro-ph 2006-03 conditional novelty 5.0 of 10

A noncommutative-geometry dark matter model with doubly charged leptons and a new U(1) force is shown, through a series of estimates, to avoid the anomalous-helium overproduction problem.
Composite dark matter from a model with composite Higgs boson
astro-ph 2008-06 conditional novelty 4.0 of 10

Within the minimal walking technicolor model, CDMS constraints limit techniparticle-only bound states to a few percent of dark matter, so composite dark matter should be mostly techni-O-helium.
Spectral Noncommutative Geometry, Standard Model and all that
hep-th 2019-06 unverdicted novelty 2.0 of 10

Review of spectral noncommutative geometry applied to the Standard Model, including bosonic and fermionic actions, Euclidean vs Lorentz issues, and going beyond the SM.

How the literature uses it

26 arXiv papers cite this in 39 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 · 29 sentences without a confident label

Cites it as background 10 papers

The AC-model [ref] appeared as realistic elementary particle model, based on the specific approach of [ref] to unify general relativity, quantum mechanics and gauge symmetry.

Dark matter from stable charged particles? · Stable AC leptons from almost commutative geometry · 0.89
The AC-model AC-model [ref] appeared as realistic elementary particle model, based on the specific approach of [ref] to unify general relativity, quantum mechanics and gauge symmetry.

Primordial heavy elements in composite dark matter models · Stable AC leptons from almost commutative geometry · 0.88
In the latter case, WTC offers a new exciting realization of a composite dark matter scenario, which was earlier considered in different aspects in the model of teraparticles [ref] , in the AC model [ref] , based on the approach of an almost commutative geometry [ref] , and in the model of 4th generation [ref] , assuming existence of stable heavy $U$ quark [ref] .

Composite dark matter from a model with composite Higgs boson · Introduction · 0.87

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