Field-Aligned Current Closure in the Aether Physics Model (APM/QMU): An Alfvén Circuit Template

Field-Aligned Current Closure in the Aether Physics Model (APM/QMU): An Alfvén Circuit Template This record archives a QADI template paper that reformulates magnetosphere--ionosphere coupling as a ledger-first closure problem in Quantum Measurement Units (QMU) and the Aether Physics Model (APM). The focus is the auroral field-aligned (Birkeland) current system treated as a generator--transmission--load circuit in the spirit of Hannes Alfvén. Ledger anchor (propagation identity). The template uses the APM propagation anchor (Ledger One) Aᵤ· curl = Fq²λC², with the bridge c=FqλC, hence Aᵤ· curl=c². Here curl denotes the QMU torsional unit (a scalar ledger quantity), not the vector operator ∇×(·). Charge and resistance conventions (QMU-native). The base charge used for circuit bookkeeping is chrg:=eₑmax². When plasma-derived formulations introduce e², the conversion is applied explicitly: e² = 8πα\,chrg and chrg=e²/(8πα). Resistance is normalized in the QMU unit resn = mₑλC² Fq/chrg⁴, so the starred resistance R^ is resistance in resn units by construction. Core observables (dimensionless, QMU-native). The paper defines a minimal closure tuple (I^,Φ^,R⁾ with I^:= Q/(chrg\,Fq), Φ^:=∫ E_∥^\,d^, and R^:=Φ^/I^, where ⁼/λC and E_∥^:=E_∥/(mₑ Fq²λC/chrg). Three falsifiable ``gates'' (A1--A3). Gate A1 (Clustering): R^ exhibits stable clustering into preferred values (discrete closure modes), rather than a continuum, after geometry normalization. Gate A2 (Monotone closure): within a regime, (Φ^,I⁾ follows an approximately single-valued load curve; regime transitions correspond to the onset of localized boundary operators (e.g., double layers). Gate A3 (Saturation): there exists a geometry-dependent cap I^≤ I^ₘₐₓ; increasing driving produces restructuring (filamentation/channel splitting/new boundary operators) rather than unbounded I^ growth. Toy numerical illustration.A short toy example in the Data Products section demonstrates how to compute (I^,Φ^,R⁾ (with R^ in resn units) and shows hypothetical resistance clustering and saturation-with-restructuring patterns, making the gates operational for archive-only tests on standard spacecraft and global FAC products. Intended use.This document is designed as a re-usable QADI template for (i) analyzing existing auroral/FAC datasets in QMU-native starred variables, (ii) writing reproducible ``gate'' tests with clear failure conditions, and (iii) bridging neglected circuit-centric plasma concepts into a ledger-closure framework that can be extended across APM/QMU studies.