MILLENNIUM-004SUBMITTED_QEDMILLENNIUM
MuncyNautics Millennium Record · Derrick E. Muncy · submitted Q.E.D. (Annals of Mathematics, 2026) · entered into the certificate log 2026-08-31
WHAT THIS RECORD ISDerrick’s proof that quantum Yang–Mills on ℝ⁴ exists with Δ > 0 for every compact simple G, with no degeneration — UV, IR, or spectral — admitted as an undefined limit.
THE CLASSICAL SEAM — WHERE THE PROBLEM STOOD
lattice → continuum: does the gap survive the limit? — the classical seam: the UV limit read as a divergence, the gap’s carrier unidentified
THE ROUTE — CLASSICAL PILLARS + THE CROSSING/BRIDGE
Six classical pillars: asymptotic freedom; Wilson lattice + Osterwalder–Seiler reflection positivity; strong-coupling cluster expansion gap; topological charge quantum 8π²|k|; Balaban UV stability; Uhlenbeck removable singularity. + Theorem 4.1 (Crossing): (F, ⋆F) as the reciprocal pair whose seat carries the gap through the continuum limit — the 8π² quantum as the unremovable topological toll.
CORRECTION RULE — correction = reconstruction from the recovery: restored arguments, seats, phases and arms in the equation itself; no raw appended constants — any finite term must be derived from the recovered channels, never fitted.
| clay_problem |
Yang–Mills mass gap (2000) |
|---|---|
| species |
S6 — the Hodge-dual pair |
| the_new_content |
the (F, ⋆F) seat-carried gap through Balaban’s limit — the quantum 8π²|k| as the gap’s classical floor |
| standing |
Submitted to the Annals of Mathematics, Q.E.D., 2026. Full manuscript: Seven Files (this project). Survived four rounds of hostile referee reports (on the shelf). Standing in THIS log: SUBMITTED_QED — the log records the submission and its structure; adjudication belongs to the journal, per the honesty contract. |
| source_records |
Seven Files/Yang-Mills Mass Gap - Annals Format.md (39KB) |