Newton and Coulomb on an Impedance Axis

This short note introduces an impedance coordinate for comparing Newtonian and Coulomb source amplitudes. Each charge and each mass is assigned an ohmic coordinate address on a common axis, with the vacuum impedance Z₀ used as the classical reference point. Within a fixed interaction sector, the Coulomb and Newton inverse-square amplitudes can then be written in a shared coordinate form based on the geometric mean of the two one-body addresses. The construction does not propose a new force law, a unification of electromagnetism and gravity, or a new dynamical role for impedance. It is a reorganization of standard couplings and natural scales. In this representation, the elementary charge e and the Stoney mass mₛ share the classical address Z₀, while the Planck charge qₚ and the Planck mass mₚ land, through the charge and mass coordinates respectively, on the same exact SI address 4πZ_ℏ = 2Rₖ. The separation between the two co-located addresses is −ln(α), giving a compact way to read the fine-structure constant on the same logarithmic axis.