P4v1.0· 12/05/2026 GMT+7Public draft · not peer-reviewed

Yang–Mills Phase 8a: A Rigorous Lattice Foundation on the Bagua Hypercube Q₇ (Three Theorems, Three Open Conjectures)

Yang–Mills lattice foundation (NOT Clay prize)

Duc Anh Phung · math-ph · cross: hep-th · ~14 pages · Communications in Mathematical Physics

Abstract

HONEST: not a Clay Millennium solution. Establishes three lattice-level results (gauge invariance, reflection positivity, well-defined Gibbs measure) on the Q₇ substrate and states three open continuum conjectures. Companion to P1 open-problems section.

Related wiki

Clay landing wiki Law 68 Phase 8a

SymPy reproduce

scripts/spt_yangmills_phase8a.py
scripts/spt_yangmills_phase8d_unconditional.py

Full H1 kit on hub

BibTeX

@article{PhungP4SPT,
  author  = {Phung, Duc Anh},
  title   = {Yang–Mills Phase 8a: A Rigorous Lattice Foundation on the Bagua Hypercube Q₇ (Three Theorems, Three Open Conjectures)},
  year    = {2026},
  note    = {v1.0; public draft; /papers/P4.pdf; arXiv pending},
  url     = {https://www.supremepolarity.com/papers/p4-yangmills-phase8a}
}

Independent · Hanoi · AI-assisted development. No peer-review claim until arXiv/journal.