A Discrete Symmetric Framework for the Yang-Mills Mass Gap: Lo-Shu, E8, and 13-Channel Projection -- Complete Version Set (v1-v5)

Read full text
Authors: Yao-Kai Kao
Cited by: 1
References: 1

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