Divergence-free quantum electrodynamics in locally conformally flat space–time

Well defined quantum field theory (QFT) for the electroweak force including electrodynamics (QED) and weak is obtained by considering natural unitary representations of a group $K\subset U(2,2)$, where $K$ locally isomorphic to $SL(2,{\bf C})\times U(1)$, on state space Schwartz spinors, Fock ${\mathcal F}$ multiparticle states H}$ fermionic which forms Grassmann algebra. These algebras are constructively emerge from requirement covariance associated with geometry space-time. (Here structure certain principal bundle given M\"{o}bius modeling space-time.) Scattering processes intertwining operators between various algebras, encoded in an kernel algebras. Supersymmetry emerges naturally algebraic theory. Kernels can be generated using covariant matrix valued measures suitable definition covariance. It shown how Feynman propagators, fermion loops electron self energy well interpretations as this sense. An example methods described paper first order amplitude electro-electron scattering ($ee\rightarrow ee$) derived simple (2,2) kernel. A second explaining muon decay manifestation force.