What question did this study set out to answer?

The research aims to construct the emergent fermion sector from a theoretical framework without introducing fundamental fermionic fields.

June 11, 2026Open Access

From quaternion-Kähler holonomy to Standard-Model fermions: spinor bundle, three generations, and emergent statistics on EIX

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Authors

LBLukáš Bednařík

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Implication

Randomized trial explores emergent fermion statistics in a theoretical framework, indicating a novel connection between topology and particle physics.

Key Points

The research aims to construct the emergent fermion sector from a theoretical framework without introducing fundamental fermionic fields.
Utilized the adjoint E₈ group field theory on the compact real form for the bosonic sector.
Identified the spinor bundle via pulling back the holonomy along a specified sigma-model field.
Applied the Slansky chain to identify two anomaly-free multiplets aligning with standard quantum numbers.
Constructed two Standard-Model generations from two anomaly-free 16_{SO(10)} multiplets.
Showed that the weak mixing angle at the GUT scale is sin²θ_W|_{M_GUT} = 3/8.
Derived a third generation of fermions containing at least one complete 16_{SO(10)} from the topological sector.

Cite This Study

Lukáš Bednařík (2026) studied this question.

synapsesocial.com/papers/6a2a505d80c8f91e7f39ce4d https://doi.org/10.5281/zenodo.20605466

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Implication

Randomized trial explores emergent fermion statistics in a theoretical framework, indicating a novel connection between topology and particle physics.