Alfvénic Plasma Electrodynamics in Quantum Measurement Units (QMU): LedgerOne Closure, Circuit Segmentation, and Multi-Proxy Impedance Gates

Alfvenic plasma electrodynamics is often discussed in SI-era MHD using the language of ``impedance'' in ways that mix inequivalent conjugate pairs (field/flux variables versus circuit port variables). This preprint rewrites Hannes Alfven's circuit-based plasma program in Quantum Measurement Units (QMU) and the Aether Physics Model (APM) with two goals: (i) enforce strict dimensional closure at every step, and (ii) make explicit a key bookkeeping rule---the natural Alfvenic transmission stiffness is a flux-domain object, while circuit closure must be performed on the port $(\Phi,I)$ and therefore requires a charge-converted impedance in the QMU resistance unit. LedgerOne propagation anchor. All transmission and closure scalings are anchored to the single ledger identity (LedgerOne)\[A_u\,\mathrm{curl} = {F_q}^2\,{\lambda_C}^2,\]equivalently\[A_u\,\mathrm{curl} = v^2\qquad\text{with}\qquadv:=F_q\,\lambda_C,\]which provides a propagation invariant carried consistently into the circuit segmentation. Flux-domain stiffness versus port-domain impedance. The ledger-native Alfvenic stiffness is defined by\[Z_{\mathrm{APM}}:=\sqrt{\frac{A_u}{\mathrm{curl}}},\]which is a flux-domain object. Circuit closure, however, is formulated on the port variables\[\Phi:=\int E_\parallel\,\mathrm d\ell,\qquadI:=\frac{\mathrm dQ}{\mathrm dt},\]so all series additions must be impedances of the form $\Phi/I$. In QMU this port-impedance unit is\[\mathrm{resn}=\frac{\mathrm{mflx}}{\mathrm{chrg}},\]and the baseline transmission conversion is therefore\[Z_{\Phi I,\mathrm{base}}:=\frac{Z_{\mathrm{APM}}}{\mathrm{chrg}}=\mathrm{resn}.\]This is not a matter of ``making operators dimensionless'': it is the physical dimensional rule that prevents adding a flux-domain stiffness directly to a port-domain resistance. QMU generalized Ohm law and closure integral. A starred-variable generalized Ohm law is presented in operator-split form,\[\mathbf{E}^*+\mathbf{u}^*\times\mathbf{B}^*=\mathbf{E}_{\mathrm{ni}}^*,\]with a field-aligned reduction that isolates the contributions to $E_\parallel^*$ and the closure voltage\[\Phi^*=\int_0^{L^*}E_\parallel^*(\ell^*)\,\mathrm d\ell^*,\qquadR^*=\frac{\Phi^*}{I^*}.\]Pressure is normalized explicitly using the QMU pressure scale\[\mathrm{pres}:=\frac{m_e\,{F_q}^2}{\lambda_C},\qquadp^*:=\frac{p}{\mathrm{pres}},\]so that the field-aligned pressure-gradient contribution entering the closure integrals is fully QMU-dimensional. Dimensionally correct generator--transmission--load model. A port-domain segmentation is given by\[\Phi_{\mathrm{gen}}=\Phi_{\mathrm{trans}}+\Phi_{\mathrm{load}},\qquad\Phi_{\mathrm{load}}=R_{\mathrm{load}}\,I,\]with a distributed transmission impedance density\[\mathrm d\Phi_{\mathrm{trans}}=z_{\Phi I}(\ell)\,I\,\mathrm d\ell,\qquadz_{\Phi I}(\ell)=\zeta^*(\ell^*)\,\frac{\mathrm{resn}}{\mathrm{leng}}.\]This yields a lumped transmission impedance\[Z_{\mathrm{trans}}^*=\int_{\mathcal T}\zeta^*(\ell^*)\,\mathrm d\ell^*,\]and guarantees that only port-domain impedances (in $\mathrm{resn}$ units) are combined in series. Falsifiable closure tests: Gates A1--A4. The paper introduces a gate framework that separates numerical/analysis instability from physical instability. Gates A1--A3 define robustness prerequisites (extraction stability, segmentation stability, proxy definability). Gate A4 is a multi-proxy closure test based on three independent routes to the same QMU impedance unit:\[\mathrm{resn}=\mathrm{perm}\cdot\mathrm{chgv}=\mathrm{chds}\cdot\mathrm{mfxd}=\mathrm{indc}\cdot\mathrm{mcur}=\frac{\mathrm{mflx}}{\mathrm{chrg}}.\]A4 residuals provide diagnostic failure modes that distinguish geometry/mapping failure, inductive-model failure, operator-dominated closure (double layers/boundary operators), or regime mixing. Double layers as discrete closure operators. Following Alfven's emphasis on double layers as discrete circuit elements, the closure voltage is segmented into transmission and localized intervals, producing an impedance split\[R^*=Z_{\mathrm{trans}}^*+Z_{\mathrm{DL}}^*,\qquadZ_{\mathrm{DL}}^*:=\frac{\Phi_{\mathrm{DL}}^*}{I^*}.\]This enables QMU-based predictions for operator spectrum (multimodality of $Z_{\mathrm{DL}}^*$), power partition in starred variables, and a stability criterion framed as impedance stationarity under admissible segmentation perturbations. A worked symbolic example demonstrates extraction of $Z_{\mathrm{trans}}^*$, $Z_{\mathrm{DL}}^*$, and Gate A4 residuals without invoking SI units. Intended use. The framework is designed for direct application to laboratory plasma circuits (driven, pulsed, and intermittent regimes) and to space-plasma field-aligned current events (localized $E_\parallel^*$ signatures versus distributed transmission intervals), with explicit reporting standards for proxy inference and regime binning.