What question did this study set out to answer?

The paper aims to extend a degree-three monopole bundle geometric framework from charged leptons to the quark and neutrino sectors to account for masses, flavor mixing angles, and CP violation.

August 19, 2026Open Access

A Geometric Origin of Flavor II: Quark and Mixing Theorems, a Supergravity Vacuum, and a Falsifiable Neutrino Spectrum from the Degree-Three Monopole Bundle

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NMNenad Markovic

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Implication

Theoretical analysis models quark mixing and neutrino spectra using a degree-three monopole bundle, indicating a unified geometric origin for flavor hierarchies.

Key Points

The paper aims to extend a degree-three monopole bundle geometric framework from charged leptons to the quark and neutrino sectors to account for masses, flavor mixing angles, and CP violation.
Embedded the family geometry into an exact half-BPS background of 6D gauged supergravity with Green–Schwarz anomaly cancellation.
Analyzed family-space algebraic decompositions into circulant mass, transverse mixing, and CP-violating directions using a two-spurion architecture.
Derived mass matrices, quark mixing dynamics (Cabibbo-Kobayashi-Maskawa matrix), and Dirac neutrino spectra from the underlying geometric Clebsch algebra.
Demonstrated that quark mixing arises as relative tilts of family frames, naturally deriving the Gatto–Sarma–Tomozawa square-root relation while ruling out traditional texture zeros.
Produced a Dirac neutrino mass spectrum with normal ordering at (0.36, 8.7, 50) meV, providing a falsifiable prediction for oscillation and cosmological experiments.
Derived a sector-cleanliness hierarchy where deviations from the Koide relation scale systematically across charged leptons (10^-5), down quarks (+12%), and up quarks (+33%).

Cite This Study

Nenad Markovic (2026) studied this question.

synapsesocial.com/papers/6a85637603308d306e2d699c https://doi.org/10.5281/zenodo.21984394

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Implication

Theoretical analysis models quark mixing and neutrino spectra using a degree-three monopole bundle, indicating a unified geometric origin for flavor hierarchies.

A Geometric Origin of Flavor II: Quark and Mixing Theorems, a Supergravity Vacuum, and a Falsifiable Neutrino Spectrum from the Degree-Three Monopole Bundle

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Implication

Key Points

Cite This Study

A Geometric Origin of Flavor II: Quark and Mixing Theorems, a Supergravity Vacuum, and a Falsifiable Neutrino Spectrum from the Degree-Three Monopole Bundle

Discussion

Member takes

Implication

Key Points

Cite This Study

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