Maxwell (1864) in Quantum Measurement Units: A Literal Twenty-Equation Ledger with Aether Geometry

*Maxwell (1864) Recast in Quantum Measurement Units (QMU): A Literal Twenty-Equation Ledger with Aether Geometry* presents a faithful, componentwise “twenty-equation” reformulation of Maxwell’s 1864 program within the QMU ledger. Working in Gaussian normalization with Coulomb constant set to unity, the framework adopts dual sources (electrostatic and magnetic) and dual potentials, and imposes two global Gauss-surface constraints that implement a four-sector loxodromic Aether geometry with $A_u=(4\pi)^2$.

Three geometry-first identities close transport and conversion without medium constants:

$$
c=\lambda_C F_q
$$

$$
\frac{e^{2}}{{e_{\mathrm{emax}}}^{2}}=8\pi \alpha
$$

$$
\frac{{\Phi_E}^{2}}{{q_{\mathrm e}}^{2}}=\frac{{\Phi_B}^{2}}{{q_{\mathrm m}}^{2}}=A_u
$$

The counted set of twenty scalar relations is organized as: field equations (8 components), continuity (2), potential definitions (6 components), gauges (2), and the two global constraints above—recovering standard Maxwell exactly when the magnetic channel is empty. Appendix A expands every relation in Cartesian components for auditability; Appendix B adds a one-by-one narrative that explains each equation’s physical role in the ledger.

The paper also outlines falsifiable metrology targets formulated purely in QMU: independent determinations of
$$
\mathrm{curl}=\frac{{e_{\mathrm{emax}}}^{2}}{m_{\mathrm e}\lambda_C}
\qquad\text{and}\qquad
\mathrm{mflx}=\frac{m_{\mathrm e}{\lambda_C}^{2}F_q}{{e_{\mathrm{emax}}}^{2}}
$$
that must close on
$$
\mathrm{curl}\times\mathrm{mflx}=c=\lambda_C F_q
$$
global flux–square plateaus
$$
\frac{\Phi^{2}}{q^{2}}=A_u
$$
and winding/sector plateaus in toroidal or cardioid cavities that track the four-loxodrome Aether seat map.