Yang-Mills Interactions and Gravity in Terms of Clifford Algebra

Wei Lu

RECORD

Yang-Mills Interactions and Gravity in Terms of Clifford Algebra

Wei Lu

General Physics · Submitted 31 Jul 2010

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

The authors' main claim A model of Yang-Mills interactions and gravity in terms of the Clifford algebra Cl(0,6) is presented.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

Claim paper

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, 6,128 input tokens, $0.0003 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.98 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.07 · 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.

A model of Yang-Mills interactions and gravity in terms of the Clifford algebra Cl(0,6) is presented. The gravity and Yang-Mills actions are formulated as different order terms in a generalized action. The feebleness of gravity as well as the smallness of the cosmological constant and theta terms are discussed at the classical level. The invariance groups, including the de Sitter and the Pati-Salam SU(4) subgroups, consist of gauge transformations from either side of an algebraic spinor. Upon symmetry breaking via the Higgs fields, the remaining symmetries are the Lorentz SO(1,3), color SU(3), electromagnetic U(1)_EM, and an additional U(1). The first generation leptons and quarks are identified with even and odd parts of spinor idempotent projections. There are still several shortcomings with the current model. Further research is needed to fully recover the standard model results.

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	A model of Yang-Mills interactions and gravity in terms of the Clifford algebra Cl(0,6) is presented.	contribution 1.00	0.91	0.25	asserted 1.00
s1	The gravity and Yang-Mills actions are formulated as different order terms in a generalized action.	contribution 0.52	0.89	0.21	asserted 1.00
s2	The feebleness of gravity as well as the smallness of the cosmological constant and theta terms are discussed at the classical level.	interpretation 0.51	0.73	0.08	asserted 0.82
s3	The invariance groups, including the de Sitter and the Pati-Salam SU(4) subgroups, consist of gauge transformations from either side of an algebraic spinor.	result 0.65	0.78	0.10	asserted 1.00
s4	Upon symmetry breaking via the Higgs fields, the remaining symmetries are the Lorentz SO(1,3), color SU(3), electromagnetic U(1)_EM, and an additional U(1).	result 0.96	0.82	0.13	asserted 1.00
s5	The first generation leptons and quarks are identified with even and odd parts of spinor idempotent projections.	result 0.64	0.83	0.12	asserted 1.00
s6	There are still several shortcomings with the current model.	limitation 1.00	0.55	0.03	asserted 1.00
s7	Further research is needed to fully recover the standard model results.	future work 1.00	0.15	0.06	asserted 0.75

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.96.

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

A model of Yang-Mills interactions and gravity in terms of the Clifford algebra Cl(0,6) is presented. The gravity and Yang-Mills actions are formulated as different order terms in a generalized action. The feebleness of gravity as well as the smallness of the cosmological constant and theta terms are discussed at the classical level. The invariance groups, including the de Sitter and the Pati-Salam SU(4) subgroups, consist of gauge transformations from either side of an algebraic spinor. Upon symmetry breaking via the Higgs fields, the remaining symmetries are the Lorentz SO(1,3), color SU(3), electromagnetic U(1)_EM, and an additional U(1). The first generation leptons and quarks are identified with even and odd parts of spinor idempotent projections. There are still several shortcomings with the current model. Further research is needed to fully recover the standard model results.

Human review

How Pith checks papers → · Full audit of this paper →

How the literature uses it

3 arXiv papers cite this in 11 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 · 7 sentences without a confident label

Uses its method or tool 1 paper

Our approach is based on the framework of six-dimensional Clifford algebra $Cℓ_0,6$ [ref] .

A Clifford Algebra Approach to Chiral Symmetry Breaking and Fermion Mass Hierarchies · Introduction · 0.87

Cites it as background 1 paper

We begin with a review of Clifford algebra $Cℓ_0,6$ [ref] .

Electroweak and Majorana Sector Higgs Bosons and Pseudo-Nambu-Goldstone Bosons · Leptons, Quarks, and Projection Operators · 0.86

What it cites · 13 sentences without a confident label

Compares with 4 papers

This is different from all previous approaches [ref] .

Gauge Gravity and Electroweak Theory · Introduction · 0.92
This is different from all previous approaches [ref] .

A Geometric Approach to the Standard Model · Introduction · 0.92
The similarities between these two cases are more salient here than the conventional formulation [ref] .

Yang-Mills analogues of the Immirzi ambiguity · The Curvature and Gauge Action · 0.82

Cites as background 5 papers

Thus a tiny effective mass is generated for the left-handed neutrino, known as the seesaw mechanism [ref] .

Fermion masses, neutrino oscillations, and proton decay in the light of SuperKamiokande · The Gauge Fields and Spinor Action · 0.82
[ref] for attempts to construct a Higgs sector for gravity.], neither do we know how the Higgs fields acquire the rather ad hoc VEVs, nor do we know how the gauge bosons with broken symmetries are suppressed by acquiring large masses.

The Higgs sector of gravitational gauge theories · Conclusion · 0.84
The geometrical meaning of MacDowell-Mansouri gravity is discussed in the context of the Cartan geometry [ref] .].

AdS Taub-Nut Space and the O(N) Vector Model on a Squashed 3-Sphere · The Curvature and Gauge Action · 0.96

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.