An Exceptional Combinatorial Sequence and Standard Model Particles
Benjamin Nasmith
TL;DR
This paper explores a unique combinatorial sequence derived from three-graded root systems that reveals structures and symmetries relevant to standard model particles in physics.
Contribution
It introduces an exceptional sequence of root systems that connects combinatorial mathematics with particle physics symmetries.
Findings
Identifies a special sequence linking root systems to particle physics.
Reveals new symmetries in the context of standard model particles.
Provides a mathematical framework for understanding particle structures.
Abstract
Three-graded root systems can be arranged into nested sequences. One exceptional sequence provides a natural means to recover some structures and symmetries familiar in the context of particle physics.
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Taxonomy
TopicsFinite Group Theory Research · Graph theory and applications · Advanced Mathematical Theories and Applications