Canonical proper-time dirac theory

In this paper, we report on a new approach to relativistic quantum theory. The classical theory is derived from a new; implementation of the first two postulates of Einstein, which fixes the proper-time of the physical system of interest for all observers. This approach leads to a new group that ive call the proper-time group. We then construct a canonical contact transfor mation on extended phase space to identify the canonical Hamiltonian associ ated with the proper-time variable. On quantization Ive get a new relativis tic wave equation for spin 1/2 particles that generalizes the Dirac theory. The Hamiltonian is positive definite so Ive naturally interpret antipartic les as particles with their proper-time reversed. I We show that for the hy drogen atom problem, we get the same fine structure separation. When the pr oton spin magnetic moment is taken into account, we get the standard hyperf ine splitting terms of the Pauli approximation and two additional terms. Th e first term is small in p-states. It diverges in s-states, and provides mo re than enough to account for the Lamb-shift when the proton radius is used as a cut off The last term promises to provide a correction to the hyperfi ne splitting term. Although incomplete, the general approach offers hope of completely accounting for the hydrogen spectrum as an eigenvalue problem.