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Flavor Patterns of Fundamental Particles from Quantum Entanglement?

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arxiv 2410.23343 v2 pith:UPLQCCPM submitted 2024-10-30 hep-ph hep-thquant-ph

Jesse Thaler , Sokratis Trifinopoulos This is my paper · ORCID
classification hep-phhep-thquant-ph
keywords entanglementquantummatrixquarkagreementanglesfindflavor
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The Cabibbo-Kobayashi-Maskawa (CKM) matrix, which controls flavor mixing between the three generations of quark fermions, is a key input to the Standard Model of particle physics. In this paper, we identify a surprising connection between quantum entanglement and the degree of quark mixing. Focusing on a specific limit of $2 \to 2$ quark scattering mediated by electroweak bosons, we find that the quantum entanglement generated by scattering is minimized when the CKM matrix is almost (but not exactly) diagonal, in qualitative agreement with observation. With the discovery of neutrino masses and mixings, additional angles are needed to parametrize the Pontecorvo-Maki-Nakagawa-Sakata (PMNS) matrix in the lepton sector. Applying the same logic, we find that quantum entanglement is minimized when the PMNS matrix features two large angles and a smaller one, again in qualitative agreement with observation, plus a hint for suppressed CP violation. We speculate on the (unlikely but tantalizing) possibility that minimization of quantum entanglement might be a fundamental principle that determines particle physics input parameters.

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Cited by 5 Pith papers

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  1. Parameter Inference from Final-State Entanglement in Higgs Decays

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  2. Entanglement, Yang-Mills, and the Scattering Matrix as an SU(N)-equivariant Kernel

    hep-ph 2025-11 conditional novelty 6.0 of 10

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  3. Spin versus Magic: Lessons from Gluon and Graviton Scattering

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    For 2 to 2 scattering of massless spin-1/2 to spin-2 particles, the averaged generated magic decreases monotonically with spin, with maxima well below the two-qubit upper bound.

  4. Emergent symmetry in a two-Higgs-doublet model from quantum information and nonstabiliserness

    hep-ph 2025-06 conditional novelty 6.0 of 10

    Imposing magic conservation, equivalent to commutativity of the initial density matrix and the T-matrix, in 2-to-2 two-Higgs-doublet scattering yields SO(8) for arbitrary initial states and SU(2)_R for definite-isospi...

  5. Gedanken Experiments of Entanglement in Particle Physics: Interactions, Operators and Bell Inequalities in Flavor Space

    hep-ph 2025-12 conditional novelty 4.0 of 10

    Mass-identification, kaon-decay, and weak-mixing observables can be cast as spin-like operators whose correlations violate a Bell-type bound (0.44+0.90=1.34>1) in an idealized Gedanken framework.

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