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2nd order 4-dimensional 4-space 4th order equation acoustic analog of G ation expansion Biemannian geometry classical Compton wave length Coulomb law curvature invariant d'Alembertian operating defined deformation derived deviation dimensional eigenvalue Einstein elasticity theory electrodynamics electromagnetic field electromagnetic waves electron energy arising energy flux finite Fock has shown gravitational field gravitational theory gravitational waves Green's function harmonic coordinates inertial frames infinitesimal waves infinity integral interaction between matter interpretation intrinsic Klein-Gordon equation level width/level separation linear equation manifold mass points matter and radiation MECHANICS VIA RELATIVITY metric tensor Morse potential non-linear equation non-linear wave obtains particle physical point of view positronium potential equation problem quantization quantum mechanics quantum theory radiation pressure recall Schroedinger secondary field seems plausible simply space-time spherically symmetric solution standing waves static singularity string surface theorem theory of gravitation thesis time-like total curvature U-space unit of length usual vanishes vector wave equation wave function WAVE MECHANICS waves satisfying