Aether Metrology with STEM--EELS: Experimental Determination of Curl, Aether Rotation, and Magnetic Flux Units (QMU)

This paper develops a Quantum Measurement Unit (QMU) reformulation of electron--magnon scattering in scanning transmission electron microscopy electron energy loss spectroscopy (STEM--EELS). Building on recent theoretical work that separates spin--based and ``charge-based'' scattering channels in magnonic materials, we show that the so--called charge-based interaction is not electrostatic, but the direct coupling of the high-energy electron probe to the Aether curl---the distributed magnetic charge of the Aether Physics Model (APM) encoded in the magnetic vector potential. The central dimensional closure is the Aether Rotational Self--Identity (Ledger One) ᵤ curl = Fq² C², Aᵤ is the Aether unit, curl is the QMU curl, Fq is the quantum frequency, and C is the Compton length. Since Fq C = c, this identity can be recognized asᵤ curl = c², decomposes the Maxwell relation c² = 1/ (₀ ₀) into rotational (Aether unit Aᵤ) and torsional (curl) geometries of the Aether. Recasting the STEM--EELS cross--sections in QMU reveals that the charge/curl channel inherits a dominant quadratic term k₀² / q², which becomes₀²q²= Aᵤcurl K²Q², that the charge-channel intensity is an explicit observable of the ratio Aᵤ / curl. The angular dependence follows a ² law, reflecting the projection of the electron momentum onto the loxodromic twist direction of the Aether curl. By isolating the spin and curl channels as functions of momentum transfer Q and sample rotation angle, one can extract the Aether unit Aᵤ from the experimentally measured ratio₄ₗ₏ (Q, K, ) =I₂₁Iₒ₁, ᵤ=R₄ₗ₏ \, curlₑ₄₅\, Q²K² ². magnetic flux unit then follows from the QMU identity = AᵤFq C. \ This work establishes the first practical laboratory metrology protocol for measuring curl, Aether rotation \, C Fq, and the QMU magnetic flux unit using STEM--EELS. It provides an experimental bridge between magnon spectroscopy and the foundational geometry of the Aether Physics Model.