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 the clunky infinities and a 10⁹⁶gram/cm³ vacuum density to get the correct Lamb shift and gyromagnetic ratio. 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 point source Schwarzschild metric splitting r_H in 1-r_H/r=_oo into r_H= 2GM/c² and r_H =2e²/m_Lc² instead of just 2GM/c²and so maintaining a general covariance for the (Lepton: m_L= m+m+m_e) Dirac equation.

So divide _xxdx² +_yydy²+_zzdz²+_ttdt²=ds² by ds² and define p_x=dx/ds and we find using the Dirac gammas and plugging in the operator formalism and we get a generally covariant m_L pde.  In spherical coordinates the energy turns out to be E=1/_tt=1/(1-r_H/r)^.5=1+r_H/2r-(3/8)(r_H/r)² +.. 1+V_c-V+... After multiplying (this normalized) E by m_Lc² we note the first term is lepton mass energy, V_C is the usual Coulomb potential energy and we split off the electron component m_ec²in E and get for the 3^rd term:

_2,0,0*V_2,0,0dV=E=Lamb shift(eq.6.12.1, PartI, DavidMaker.com) =h27MHz component.

We get an equivalence principle for _ij by assuming the only particle with nonzero rest mass is the electron (with the baryons 2P_3/2, 2P_½ composites and ,  S_½ excited states, PartI) and that splitting of r_H into separate r_HN+1=2GM/c² and r_HN=2e²/m_Lc² comes from a cosmological and electron selfsimilar (fractal) universality of this new Lepton pde.