PDL_SU3_script1.py: Verification of the Five Lemmas Establishing SU(3) as an Unconditional Theorem of C1–C4 — Supplementary material to PDL Document D58

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Authors: Cédric Laubscher
Cited by: 10

Abstract

Python verification script for PDL Document D58. Provides exhaustive computational verification of the five lemmas establishing SU(3) as an unconditional theorem of the PDL axioms C1–C4: (L1) S_4/V_4 = S_3; (L2) S_4-equivariant bijection between V_4 \ {e} and V_4-orbits on the edges of K_4; (L3) A_4/V_4 = Z_3; (L4) rank-2 Cartan reduction from R_e = 6; (L5) A_2 root system. All verifications use exact integer arithmetic and exhaustive enumeration. Also documents the negative result that V_4 acts non-trivially on H_1(K_4; R). Dependencies: Python 3.8+, numpy, networkx. Deterministic output, bit-for-bit reproducible. Reference output file PDL_SU3_script1_output.txt included.

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
10 June 2026
Language
EN