The Coulomb Identity
Electrostatics = kinematics
The Coulomb electrostatic constant k_e is algebraically identical to c² in SI-scaled units: k_e = c²×10⁻⁷. There is no independent electrostatic coupling. The force between charges is governed by the same Tau-propagation constant as light.
P-EM-2
k_e = c²×10⁻⁷ [−0.0005 ppm]
Derivation: k_e = μ₀c²/(4π) = (4π×10⁻⁷×c²)/(4π) = c²×10⁻⁷μ₀ = 2²×π×10⁻⁷ | Z₀ = μ₀c = 2²πc×10⁻⁷ Ω
Registered Propositions
Key Results
P-EM-1
μ₀ = 2²×π×10⁻⁷ H/m — exact {2,π} lattice identity.
P-EM-2
k_e = c²×10⁻⁷ — exact. Electrostatics = kinematics. No independent coupling.
P-EM-6
n_water = 4/3 = 2²/3. Snell at water→glass (n=3/2): ratio = 9/8 = 3²/2³ — the Pythagorean major second.
P-EM-10
R_K = h/e² = 2×5³×π³×c/(3²×10⁷) — pure {2,3,5,π,c} composite.
Cross-references: Vol3 Section 268 | P-QM-1 | P-ACOUS-5