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Electric Charge as a Phase of Becoming: Electromagnetism on the Dialog-of-Energies Lattice
A companion paper showed that a lattice model built from M'TAM principles reproduces free relativistic quantum motion and gravitation. This paper tests whether the same model, extended by one attribute, reproduces established electromagnetism. Electric charge acts on the phase of becoming, not on its density: the scalar potential on internal becoming, the vector potential on change of position. The only new constant is the coupling α; the free walk is unchanged. Each event is exactly unitary and gauge covariant. The fields obey the model's own lattice wave equation, propagate at c, and are sourced by the walk's conserved link current, making the Lorenz condition exact. On a closed grid, total momentum of charges and field is conserved exactly for states without weight near the Brillouin-zone edge, confirmed to 10⁻¹³. The model reproduces Coulomb's law to0.08%; the forces between moving charges to within 1.5% of the Liénard–Wiechertvalues; Aharonov–Bohm scattering; relativistic Landau levels with the Dirac moment g = 2; cyclotron motion, charge conjugation and spin splitting; Larmor radiation from aprescribed charge, and from the walker's own current at 0.86–0.98 of the continuum value; and bound states whose lattice error falls at second order, converging to the Dirac levelsin a planar reduction and to within 0.2% in three dimensions. Three items remain open: the E × B field-momentum residual along the motion, which decreases with grid size; percent-level radiation from the walker; and the 0.2% hydrogen offset. The paper claims correspondence with established physics, not new physics.
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