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Doubling of the Algebra and Neutrino Mixing within Noncommutative Spectral Geometry

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Maria Vittoria Gargiulo, Mairi Sakellariadou, Giuseppe Vitiello

High Energy Physics - Theory · Submitted 3 May 2013

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

The authors' main claim Linking the algebra doubling to the deformed Hopf algebra, we build Bogogliubov transformations and show the emergence of neutrino mixing.

how it is stated · asserted 1.00 read the record →

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arXiv ID1305.0659 (version 2)
Pith IDZ4IMMAVN, Pith's permanent record of this paper and its review
CitationGiuseppe Vitiello, Mairi Sakellariadou, Maria Vittoria Gargiulo. "Doubling of the Algebra and Neutrino Mixing within Noncommutative Spectral Geometry." arXiv:1305.0659 (2013). https://pith.science/paper/Z4IMMAVN
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The compiled record

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,338 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.05 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.09 · compares with prior results 0.07 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We study physical implications of the doubling of the algebra, an essential element in the construction of the noncommutative spectral geometry model, proposed by Connes and his collaborators as offering a geometric explanation for the standard model of strong and electroweak interactions. Linking the algebra doubling to the deformed Hopf algebra, we build Bogogliubov transformations and show the emergence of neutrino mixing.

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 study physical implications of the doubling of the algebra, an essential element in the construction of the noncommutative spectral geometry model, proposed by Connes and his collaborators as offering a geometric explanation for the standard model of strong and electroweak interactions. background 0.55 0.50 0.08 asserted 0.75
s1 Linking the algebra doubling to the deformed Hopf algebra, we build Bogogliubov transformations and show the emergence of neutrino mixing. contribution 0.54 0.93 0.66 asserted 1.00

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

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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 study physical implications of the doubling of the algebra, an essential element in the construction of the noncommutative spectral geometry model, proposed by Connes and his collaborators as offering a geometric explanation for the standard model of strong and electroweak interactions. Linking the algebra doubling to the deformed Hopf algebra, we build Bogogliubov transformations and show the emergence of neutrino mixing.

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4 arXiv papers cite this in 4 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 1 paper

What it cites · 19 sentences without a confident label

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Cites as background 1 paper
  • Many experimental efforts are thus pursued [ref] , and the quantum field theory for neutrino mixing (and, in general, for particle mixing) has been formulated [ref] , providing the framework for various studies, also in conjunction with dark energy and dark matter scenarios [ref] .

    Neutrino mixing as a source of dark energy · Introduction · 0.97

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