Potential Closure in QMU: A Josephson–Quantum Hall Ledger Interpretation of the Primary Current Standard

This paper presents a reformulation of the recently realized primary quantum current standard, based on the Josephson and quantum Hall effects, within the framework of Quantum Measurement Units (QMU) derived from the Aether Physics Model (APM). In conventional SI metrology, the current standard is expressed asI = (np) e fJ, where fJ is the Josephson frequency and n/p is determined by the quantum Hall state. While numerically accurate, this expression compresses magnetic flux geometry and charge representation into the constants h and e. In QMU, electrical quantities are expressed in distributed charge, allowing the roles of frequency, conductance, and flux geometry to be separated explicitly. The Josephson--Hall system is shown to realize the identitiespotn = freqcond, curr = potnresn. This leads to the central result that the quantum current standard is fundamentally a potential closure governed by frequency and conductance geometry, rather than a direct charge-transport relation. Within this framework: The Josephson effect provides a frequency source freq = fJ. The quantum Hall effect defines a discrete conductance geometry. Potential emerges as potn = freq/cond. Current follows as curr = potn/resn. The resulting current relation becomescurr = (np) eₑmax^2 fJ, which is the QMU form of the experimental result and represents a realization of the general QMU current definitioncurr = eₑmax^2 Fq. The formulation also shows that conductance is the reciprocal of magnetic flux, cond = 1mflx, and that quantization arises from discrete geometric partitioning of flux. Because all quantities are expressed in distributed charge, no unit mismatch occurs, and the resulting relations remain real-valued. The use of complex impedance in conventional formulations is therefore interpreted as arising from combining quantities of different physical character rather than from a fundamental requirement. This work is intentionally limited to the reinterpretation of an experimentally realized system. It does not attempt to replace quantum mechanical descriptions or provide a full treatment of time-dependent circuit behavior. Instead, it demonstrates that the Josephson--quantum Hall current standard can be expressed as a consistent QMU ledger with explicit geometric meaning. The SI expression is recovered as a projection through charge conversion, while the QMU formulation foregrounds the underlying frequency--flux geometry governing the system.