MAXWELL-001CLOSED_CLASSICALS4/S2
MuncyNautics Recovery Certificate · the corpus’s oldest-named projection, executed 2026-08-31 · author of every MN concept: Derrick E. Muncy
WHAT THIS CERTIFICATE RECORDSThe oldest projection in the corpus’s ledger, entered as its own certificate. Maxwell 1865 published TWENTY equations in which the potentials A and φ are physical dynamical variables (Maxwell called A the electromagnetic momentum). Heaviside 1884–85 projected them to the four vector-calculus equations taught since: the potentials demoted to computational conveniences, the scalar arm set to zero by convention, the quaternion phase structure discarded as “metaphysical.” The recovery is not nostalgia — the discarded arm is MEASURED: Aharonov–Bohm 1959, Tonomura 1986 (π fringe shift in a field-free region, executed below), and all of gauge theory is the fiber structure Heaviside’s projection hid. Phase kept, both arms carried — Maxwell’s own form already obeyed the discipline.
THE SEAM — HEAVISIDE’S PROJECTION (1884)
Heaviside 1884: ∇·E = ρ/ε₀, ∇·B = 0, ∇×E = −∂B/∂t, ∇×B = μ₀J + μ₀ε₀∂E/∂t the projection: (φ, A) → (E, B) is many-to-one — the gauge fiber discarded; the scalar arm S = ∂φ/∂t + c²∇·A set to 0 by convention; the phase ∮A·dl invisible to the report.
THE COMPLETE FORM — MAXWELL 1865, EXECUTED
Maxwell 1865 (the twenty): the potentials as dynamical variables — E = −∇φ − ∂A/∂t, B = ∇×A, with A the “electromagnetic momentum” and the gauge choice a RECORDED transition, never a deletion. EXECUTED WITNESSES: A (fiber real): A₁ = B/2(−y,x,0) and A₂ = B(0,x,0) — identical (E,B), distinct complete objects, χ = Bxy/2 recorded B (arm measured): AB phase eΦ₀/ħ at one flux quantum = 3.141592653 = π EXACT — Tonomura 1986 measured the π shift in a field-free region C (scalar arm): S = 0 is Lorenz’s CHOICE (1867) — an equation in Maxwell’s twenty, a convention in Heaviside’s four.
CORRECTION RULE — correction = reconstruction from the recovery: restored arguments, seats, phases and arms in the equation itself; no raw appended constants.
| record_id |
MAXWELL-001 — non-Heaviside Maxwell, entered 2026-08-31 |
|---|---|
| species |
S4/S2 — lane (gauge fiber) + address (the potential seat) discarded by one projection |
| executed |
gauge-fiber witness pair (identical curl, distinct A); AB phase = π exact at Φ₀ = h/2e; the corpus’s session uses of non-Heaviside Maxwell (electret + photon work) cross-referenced |
| cod_data |
Tonomura et al. 1986: π fringe shift measured with superconducting shielding — the discarded arm detected where E = B = 0. Grade: EXACT (the phase is topological, eΦ₀/ħ = π by the flux quantum’s definition; the measurement confirmed it) |
| what_it_recovers |
the potential seat (A physical), the gauge fiber (recorded transitions, not deletions), the scalar arm (Lorenz’s S as an equation, not a convention), and the phase channel ∮A·dl — the whole of gauge theory is this fiber made systematic |
| standing |
CLOSED_CLASSICAL — Maxwell 1865; Aharonov–Bohm 1959 (theorem); Tonomura 1986 (measured) |
| promotion_authority |
GREEN_CLASSICAL |
| source_records |
Maxwell, A Dynamical Theory of the Electromagnetic Field (1865); Heaviside 1885; Aharonov & Bohm 1959; Tonomura et al., PRL 56, 792 (1986) |