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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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Forward citations

Cited by 11 Pith papers

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

  1. Flavor--Kinetic Entanglement Production from Decay and Scattering at Finite Density

    hep-ph 2026-08 conditional novelty 6.0 of 10

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

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

    hep-ph 2025-11 conditional novelty 6.0 of 10

    SU(N) symmetry fixes the entangling power of 2→2 scattering: Yang-Mills adjoint scattering has a group-only entanglement maximum at 90° (3/4 for SU(2), ≈0.91 for SU(3)), and maximal-entanglement preservation selects t...

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

    hep-th 2025-08 accept novelty 6.0 of 10

    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.

  6. Search for an Anomalous Excess of Single Photons in the MicroBooNE Neutrino Experiment

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  8. Entanglement Maximization and Mirror Symmetry in Two-Higgs-Doublet Models

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    Maximal flavor entanglement in 2HDM Higgs scattering forces a U(2)×U(2)-symmetric potential, six Goldstone bosons, and a Z2-related mirror fermion sector.

  9. Flavour from Fractal Mass Chains

    hep-ph 2025-09 reject novelty 5.0 of 10

    A fermion mass-matrix construction on a Sierpinski-triangle lattice yields three zero modes that the authors identify with the three Standard Model generations, and the framework can accommodate observed lepton data b...

  10. Symmetry, entanglement, and the $S$-matrix

    hep-th 2025-04 conditional novelty 5.0 of 10

    Scattering amplitudes restricted to the span of identity and swap flavor gates are shown to commute with a diagonal SU(N) flavor symmetry and to obey exact selection rules.

  11. 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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