Wave Relativity

*Wave Relativity* re-derives the classical and semiclassical content of physics from one principle: equations for physically-real potentials must be self-consistent.

Applied three times, three structural requirements — frame-independence, index matching, and self-sourcing — produce electromagnetism with special relativity from Aharonov-Bohm, general relativity from Newton's law, and matter-wave quantum mechanics from Davisson-Germer. The three potentials ($g_{\mu\nu}$, $A^\mu$, $\psi$) then assemble as aspect-content of one Dirac-spinor substrate $\Psi$, and the apparent incompatibility of quantum mechanics and general relativity dissolves: it was the artefact of treating $g_{\mu\nu}$ and $\psi$ as independent fields requiring separate quantisation.

Lorentz covariance is forced rather than postulated. Einstein's equations are reached by iterating a fixed-point equation for a real metric potential. The Dirac equation on curved spacetime is the master equation, and classical mechanics, special relativity, general relativity, and standard quantum mechanics fall out as its scale-regime corners.

Written for readers who have seen special relativity, general relativity, and wave-mechanical quantum mechanics at a standard undergraduate-or-first-year-graduate level and want to see them re-derived from a single methodology rather than assembled from separate postulates. Comfort with four-vectors, tensor indices, and wave equations suffices; fibre-bundle language and path integrals are not required. Readers curious about why c, G, and hbar play the structural roles they do will find that question treated directly.