Electrically neutral axisymmetric equilibria of an extended electromagnetic field theory

摘要

An earlier developed Lorentz invariant extended form of Maxwell's equations with a nonzero divergence of the electric field in vacuo has been applied to electrically neutral axisymmetric equilibria. Such states are shown to result from a generating function being convergent at the axis of symmetry. A class of 'particle-like' equilibria has thereby been found which can reproduce all so far known basic data of the neutrino. Thus, there is a vanishing integrated charge and magnetic moment, the angular momentum becomes consistent with the two spin values +-1/2, and solutions exist for which the integrated mass can become extremely small but nonzero and positive. These solutions correspond to a thin ring-shaped geometric configuration. A tentative explanation of the extremely long mean free neutrino path is further presented. A class of 'string-like' equilibria has finally been found which can reproduce several of the desirable features of the string model of the hadron structure. These features are a constant longitudinal stress of the string geometry, a magnetic field being localized to a narrow string channel, no need for an artificial model based on magnetic poles, and a vanishing total electric charge. 8 refs. (Atomindex citation 27:073328)