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 = Fq²C², with the bridge c=FqC, 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: =eₑmax^2. When plasma-derived formulations introduce e², the conversion is applied explicitly: e² = 8\, chrg and chrg=e²/ (8). Resistance is normalized in the QMU unit resn = mₑC² 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^, ^, R^) with I^: = Q/ (chrg\, Fq), ^: = E_^\, d^, and R^: =^/I^, where ^=/C and E_^: =E_/ (mₑ Fq²C/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, (^, 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^_; 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^, ^, 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.