Alphabeta Math

Classical Electromagnetism

36 pages

Classical electromagnetism in one named inertial laboratory frame: an open system of postulates for the electric and magnetic fields, the vacuum Maxwell equations in smooth and weak readings, and the Lorentz coupling of the fields to prescribed charge and current distributions, expressed in the SI conventions fixed by the framework. From these assumptions the library develops electrostatics and its boundary problems; source moments and the multipole expansion of the electrostatic potential; magnetostatics, magnetic moments and loop forces; the potentials and gauge structure of the Maxwell system; the critical empirical interface; plane waves, interfaces, waveguides and cavities; energy, momentum and angular balance; material response and its constitutive qualifications; and retarded fields with their radiation consequences. Every result is conditional on its stated regime and conventions, and empirical evidence enters through separately qualified experiments and relations rather than as a proof of the postulates. The content is a draft under construction; items and pages are added and reviewed in dependency order.