The Aether-Unit Maxwell Ledger: Unifying Electrodynamics without Permittivity or Permeability

Abstract

Standard electrodynamics relies on two free-space parameters, vacuum permittivity ($\epsilon_0$) and vacuum permeability ($\mu_0$), to govern the speed of light. These constants act as scalar correction factors without providing geometric insight into the fabric of space. This paper demonstrates that in the Quantum Measurement Units (QMU) system, these abstract constants are replaced by a single geometric ledger governed by the Aether unit ($A_u$) and the curl unit ($\mathrm{curl}$). We show that the Maxwell wave equation resolves naturally into the Aether's rotational and torsional limits, where the propagation velocity is exactly the product of the quantum frequency ($F_q$) and the Compton wavelength ($\lambda_C$). Furthermore, we derive the Impedance of Free Space ($Z_0$) as a direct function of the QMU conductance unit ($\mathrm{cond}$), proving that vacuum impedance is the geometric ratio of magnetic flux density to distributed charge: $$Z_0 = \frac{1}{2\alpha \cdot \mathrm{cond}}$$ This derivation removes the need for arbitrary free-space constants, reducing the Maxwell equations to a closed geometric identity perfectly consistent with experimental data.