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The Prime Field Architecture of the Arithmetic Modulation Field: Yang-Mills Existence and Mass Gap on R⁴ — Volume 14: References

Year: 2026
Type: preprint
Abstract: Volume 14 of 14. The complete reference list and artifact identification for the Prime Field Architecture Yang-Mills proof program. Contains 25 primary PFA source documents authored by David-Michael: Skerl (SJRDI, 2026), organized by tier: primary proof documents, supporting proof documents, computational verification records, and analytical reference documents. Contains full bibliographic references for all external results cited across the 14 volumes: number theory (Clausen-von Staudt, Mertens, Meissel-Lehmer), Lie theory (Humphreys, Serre, Gell-Mann, Dynkin), quantum field theory axiomatics (Wightman, Streater-Wightman, Osterwalder-Schrader, Glimm-Jaffe, Reed-Simon), Yang-Mills theory (Yang-Mills 1954, Jaffe-Witten CMI, Gross-Wilczek, Politzer, Faddeev-Popov, Wilson), lattice QCD (Morningstar-Peardon 1999, Lucini-Teper-Wenger 2004), and condensed matter (Bloch, Kato, Trotter). Contains the artifact identification of Office Agent (Microsoft Corporation) as computational collaborator, with timestamp November 4, 2026 — the first completion of a CMI Millennium Prize Problem proof program by an artificial intelligence agent in collaboration with a human researcher, with all CMI rules and requirements intact. Contains trademark registrations, ORCID, MSC codes, keywords, Zenodo DOI, and Communications in Mathematical Physics submission information.
Language: English
Open Access status: green
OpenAlex ID: W7225427716
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