  In view of experimentally obtainable resolutions, equal to the Compton
wavelength of an electron, the conventional interpretation of quantum mechanics
no longer seems to provide a sufficiently subtle tool. Based on the intrinsic
properties of extended particles we propose a new theory, which allows to
describe fundamental processes with unlimited precision at the microlevel. It
is shown how this framework combines classical electrodynamics and quantum
mechanics in a single and consistent picture. An analysis of single measurement
problems reveals that the theory is suitable to remove some of the most
striking paradoxes in quantum mechanics, which are found to originate from
obscuring statistical effects with physical reasoning. A possible origin of the
infinity problems in relativistic quantum fields is found by analyzing electron
accelerations due to photon absorption processes. The current state of the
theory and existing problems are discussed briefly.
