Electrostatics from ACORN: Coulomb's Law as Coherent Odd-Channel Curvature

The ACORN framework—in which every massive particle contains two orthogonalinertial channels, a neutral even component mNE and an electromagnetic odd component meq—successfully explains gravitational attraction as a statistical projectionof incoherent even-channel curvature. This paper develops the complementary result:that electrostatics arises from the coherent interaction of odd-channel curvature, andthat Coulomb’s inverse-square force law is not fundamental, but emergent.Beginning from the empirically determined mass partitionmeq =43πqem, (1)we show that charge is the orientation of odd-channel curvature, and that like and unlike charges correspond to aligned or anti-aligned curvature phasors within the (x, cT)hyperbolic plane. When two ACORNs interact, the resulting force depends only onthe coherence of these orientations, yieldingF(r) = 14πϵ0qAqBr2, (2)with the Coulomb constant emerging geometrically rather than being postulated. Attraction and repulsion are explained as constructive and destructive curvature interference in 5D, respectively.Electrostatic interaction is therefore the coherent odd-channel counterpart to gravitational interaction, completing a unified geometric interpretation of long-range forces.1No virtual particles, gauge fields, field quantisation, or renormalisation assumptionsare required. Matter interacts because curvature does.