Curl Metrology Handles: A QMU Torsion Renormalization Program for Ferromagnetic Media

Curl Metrology Handles presents a laboratory-ready protocol for extracting an effective torsion constant in ferromagnetic media within the Aether Physics Model (APM) and Quantum Measurement Units (QMU). The core hypothesis is that the QMU torsion unit curl may admit a material-dependent renormalization under rotating magnetic-field (RMF) excitation, motivating an operational handle \(\mathrm{curl}_{\mathrm{eff}}=\kappa_{\mathrm{tor}}\mathrm{curl}\). The protocol defines a dimensionless forcing coordinate \(\Pi\equiv u/u_{\mathrm{ref}}\) (reference-normalized drive amplitude) and uses the third-harmonic ratio \(H_3=|X(3\omega)|/|X(\omega)|\) as an instrument-agnostic marker for nonlinear onset. The torsion renormalization factor is reported as a pure ratio \(\kappa_{\mathrm{tor}}(s)=\Pi^\star(s_0)/\Pi^\star(s)\) with explicit inclusion of training history, ellipticity/phase controls, and a mandatory frequency sweep using the dimensionless rate coordinate \(\tilde{\omega}=\omega/F_q\). A rate-sensitivity handle \(\Gamma_{\mathrm{tor}}=d\ln\kappa_{\mathrm{tor}}/d\ln\tilde{\omega}\) is defined when quasi-static invariance does not hold.

The work is positioned as a metrology standard rather than a mechanism claim: acceptance is based on curve-collapse invariants under the rescaling \(\hat{\Pi}=\kappa_{\mathrm{tor}}\Pi\), extended beyond \(H_3\) to additional observables (\(H_5\), phase-lag growth, and dimensionless dissipative proxies). A traceability framework is provided (reference artifacts, reporting tuple for state \(s\), minimum reporting standard) to support cross-lab replication.

Synthetic demonstration package (explicitly non-empirical)
To make the protocol immediately executable on paper and to provide compilation-ready figures, this Zenodo record includes a clearly labeled synthetic demonstration dataset and example plots (knee detection and before/after collapse). These synthetic files are included solely to illustrate the workflow and reporting forms and are not derived from measurements; no experimental claims are made from them.

Contents

• PDF manuscript 
• Synthetic demonstration CSV files (per-state \(H_3(\Pi)\), \(H_5(\Pi)\), \(\Delta\phi(\Pi)\); threshold summary; rate-sensitivity example)
• Synthetic demonstration figures (harmonic knee; collapse before/after; rate-sensitivity plot)
• Results template tables for laboratory reporting and replication