A Discrete Symmetric Framework for the Yang-Mills Mass Gap: Lo-Shu, E8, and 13-Channel Projection -- Complete Version Set (v1-v5)
Abstract
Complete clean PDF set for all versions v1-v5. All Unicode/encoding issues resolved -- all files are now pure PDF (no Markdown). Version history: v1 (7/10): 13-channel decomposition + mass gap conjecture. v2 (8/10): Lemma 4a proved via Genesis 3D-HLBM bridge (Delta >= 2*sqrt(3)/15). v3 (8.5/10): Theorem 4b via Z_2 Parity argument. v4 (9/10): Proposition X (explicit isometric embedding Phi identifying Lo-Shu Z_2 with spatial parity P_{x1}). v5 (9.5/10): Full 8-step proof chain closed -- embedding iota: T^2->T^4, Lemma C (restriction-parity commutativity), F_{mu nu} invariance verification. The latest result: Delta >= 4*sqrt(3)/15 ~ 0.4619.
Fields of Study & Subjects
Particle physics theoretical and experimental studies
Advanced Mathematical Theories and Applications
Black Holes and Theoretical Physics
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 30 April 2026
- Document type
- Preprint