Perhaps comparable in scope to Newtonian mechanics is thermodynamics, though in some sense thermodynaics might be considered to be based on Newtonian mechanics, being the study of atoms and molecules in motions consistent with Newton's mechanics, with an added statistical component by way of statistical mechanics.
where is gravitation? POincarè invariance is lost in that case.
On the contrary, Lorentz Electrodynamics is an extension of classical mechanics to electromagnetism not in conflict with Newtonian Gravitation or the results of General Relativity.
Presentation The trajectory OF LIGHT according to Special Relativity AND ...