Generally Covariant Generalization of The Dirac Equation (a new pde) That Does Not Require Gauges

Toward the end of his life Dirac tried to modify his equation so that it did not require infinities and a 10⁹⁶gram/cm³ vacuum density to get the correct Lamb shift and gyromagnetic ratio. He said ”other people, I hope, will follow along such lines.“ Well, it is easy to fix this problem. Instead of linearizing a flat space Minkowski metric as Dirac did to get his Clifford algebra, leave it as a Schwarzschild metric with r_H =2e^2/m_ec^2 instead of 2GM/c^2 in 1-r_H/r=k_ooalso thereby maintaining a general covariance for the Dirac equation. Divide by ds^2 and define p_x=dx/ds and we then get using Dirac gammax=Gx: (Gxkxx^{^.5}p_x+Gykyy^{^.5}p_y+Gzkzz^.5p_z+Gtk_tt^.5pt)²=k_xxp_x²+k_yyp_y²+k_zzp_z²+k_ttp_t². Linearize like Dirac did: Gxkxx^{^.5}p_x+Gykyy^{^.5}p_y+Gzkzz^.5p_z+Gtk_tt^.5pt. Plug in the operator formalism and we get a generally covariant pde (Gi(kii^.5)(dpsi/dxi)=(w/c)psi. The energy turns out to be E=1/k₀₀ =1/(1-r_H)1-r_H/2r+(3/8)(r_H/r)^2 +..=1-Vc+dV with normalization coefficient mc^2. So that integral[2,0,0*dV2,0,0dV]=V=Lamb shift. We get an equivalence principle for k_ij by assuming the only particle with nonzero rest mass is the electron (with the rest composites, DavidMaker.com) and that above splitting of rH comes from a cosmological and electron selfsimilar (fractal) universality of this new pde.