Simplicial Lattice Field Theory (Vol III): Gauge Fields from the F4 Root System

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Abstract

The F4 root system partitions into 24 long roots (gauge sector) and 24 short roots (matter sector). The Standard Model gauge group SU(3)×SU(2)×U(1) emerges from the D4 root structure, with hypercharge uniquely determined by triality invariance. The Weinberg angle is derived at three scales: 4/5 (UV), 1/5 (GUT), 37/160 (electroweak).

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Quantum and Classical Electrodynamics Algebraic and Geometric Analysis Quantum Chromodynamics and Particle Interactions

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Published in: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.19356928

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Simplicial Lattice Field Theory (Vol III): Gauge Fields from the F4 Root System

Authors

Abstract

Topics & Keywords

Publication Details