FUSION-SEAM-003 — QI stellarator ideal-MHD stability — the one-arm well

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FUSION-SEAM-003RECOVERY_EXACT · FALSIFIER_AWAITING_DATAS6

FUSION-SEAM-003 · QI stellarator ideal-MHD stability — the one-arm well

LIVE CANDIDATE · STANDING SUPPORTED — FALSIFIER STAKED, NOT YET RUN

context
The vacuum magnetic well W_MHD is adopted as the stability proxy — the energy arm alone, evaluated at β = 0, exactly the operating point where the conjugate (pressure-drive) arm vanishes. Pressure-driven modes persist in W-optimized configurations: the forbidden one-arm GREEN failing in practice.
schema
MN-RECOVERY-CERTIFICATE-1.1
certificate_id
MN-CERT-FUSION-SEAM-003-20260830
job_id
FUSION-SEAM-003
title
QI stellarator ideal-MHD stability — the one-arm well
author
Derrick E. Muncy
method
MuncyNautics Seam Recovery Method v1.0
source_records
ConStellaration benchmark (2025) · Fusion Seam Recovery — Live Candidates (project record)
species
S6 — The Positivity / Conjugate
governing_equation_as_projected (the seam)
constraint: W_MHD[B_vacuum] > 0 at β = 0  (one arm of a two-arm criterion; Π and the finite-β transition T discarded)
complete_governing_equation (the repair)
D_M(β) = (D_shear + D_well) − (D_pressure(β) + D_current(β)) > 0 at β = β_target on every surface; margin carried as a signed, phase-bearing residual
lost_channels
partner Π (the pressure-drive arm) and transition T (the finite-β equilibrium)
structured_residual
{ modulus: W_MHD margin (one-arm, retired), phase: signed distance-and-direction from Mercier marginality per surface, transition: β = 0 → β_target — residual = the unexecuted D_M sweep of the W-optimized winners }
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.
phase_retained
True — the repair carries phase, seat, rank and both arms explicitly
falsifier
Evaluate D_M across the full surface set of the benchmark’s W-optimized winners at target β. If none shows a Mercier violation where W > 0 held, the one-arm proxy sufficed and the claim fails.
standing
SUPPORTED — recovery identified and demonstrated cold; not yet run against the machines' datasets
promotion_authority
YELLOW — no GREEN until the staked falsifier is executed
generated_utc
2026-08-31T03:13:23.100Z

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