This work presents a complete scientific derivation of the Coulomb force inside the Harmonic Scale Framework (HSF).The Coulomb law is not postulated but emerges as the static limit of a K2 electromagnetic wave equation.The document includes: Full Poisson and Helmholtz derivation Mapping of charge to K2 element wave amplitude Energy and 1/r^2 structure from Green functions Effects of HSF geometry and boundary conditions Coupling of K2 with K4 (Neutrofield) and K5 (Coswave) Seven concrete predictions beyond standard electromagnetism The predictions include spheroidal anisotropy, K2-K4 cross-modulation, slow drift of epsilon0, discrete charge values from boundary modes, high-frequency corrections at small radii, defined retardation phases, and weak nonlinearities.All predictions are formulated in testable form and include suggested measurement strategies. This dataset provides the full scientific document in Markdown format for further research, verification, and citation.