Authors: Hans Detlef Hüttenbach
It is shown that the action function of a macroscopic adiabatic system of particles described as continuously differentable functions of energy-momentum in space-time, exists, that this is a plane wave, and that this function can in turn be integrated to a 4-vector field, which satisfies the Maxwell equations in the Lorentz gauge. Also, it is shown, how to formulate these results in terms of Functional Analysis of Hilbert spaces. With it, we show a.o. that PCT = -CPT = ±1 holds, which is a strong form of the PCT-theorem; we show that - in order to capture the concept of mass - the standard model gauge group has to be augmented by a factor group U(2), such that the complete gauge group becomes U(4). It is shown that the sourceless action field in itself suffices to describe the long ranged interaction of matter, both, electromagnetic and gravitational. This turns Einstein’s conception of photons as real particles and subsequently the concept of gravitons into physically unproven assumptions, which complicate, but not simplify the theory. The results appear to imply that the fields themselves do not interact with their sources. Though, this has never been checked by an experiment. As shown, a simple experiment could be carried out to answer this question.
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