PreprintCC BY 4.0Zenodo
Derivation of the Standard Model Gauge Group SU(3)C × SU(2)L × U(1)Y from the R12 Rendering Algebra
Abstract
We derive the complete Standard Model gauge group SU(3)C ×SU(2)L×U(1)Y , its chiral fermion content, and the electric charge assignments from the R12 rendering algebra with zero free parameters. The derivation proceeds in six levels.
First, the 12-axis budget nmax = ⌊220/(γ1 + 4π/3)⌋ = 12 forces Z12 as the discrete symmetry group, whose unique non-trivial coprime factorisation Z12 ∼= Z3 × Z4 yields 3 generations × 4 types per generation.
Related
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BibTeX
@misc{lim2026derivation,
title = {{Derivation of the Standard Model Gauge Group SU(3)C × SU(2)L × U(1)Y from the R12 Rendering Algebra}},
author = {Han-Jun Lim},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23625205},
url = {https://zenodo.org/records/23625205},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Derivation of the Standard Model Gauge Group SU(3)C × SU(2)L × U(1)Y from the R12 Rendering Algebra
AU - Han-Jun Lim
PY - 2026
DA - 2026/10/24
PB - Zenodo
DO - 10.5281/zenodo.23625205
UR - https://zenodo.org/records/23625205
AB - We derive the complete Standard Model gauge group SU(3)C ×SU(2)L×U(1)Y , its chiral fermion content, and the electric charge assignments from the R12 rendering algebra with zero free parameters. The derivation proceeds in six levels. First, the 12-axis budget nmax = ⌊220/(γ1 + 4π/3)⌋ = 12 forces Z12 as the discrete symmetry group, whose unique non-trivial coprime factorisation Z12 ∼= Z3 × Z4 yields 3 generations × 4 types per generation.
ER -