A classical model of unified electroweak forces: Pt. 2

To consider the effects of a particular anisotropic coupling between strings constituting a fibre space, the time and space Fourier transform of the Green's function of the basic equations are directly calculated. In the static case it is obtained a modified Coulomb potential which depends on two parameters: l determining the coupling strength between strings, and epsilon determining the anisotropic component of the coupling proportional to the squared cosine of the angle between the coupled strings. The hypothesis that the low-momentum part of the modification of the Coulomb potential is due to an effective potential of the weak force mediated by one neutral intermediate vector boson predicts its mass as 107 GeV/c2, for any degree epsilon of anisotropy. An anlogous two-boson hypothesis results in their masses being dependent on the degree epsilon of coupling anisotropy, the mass of the lighter (heavier) boson varying from zero to 107 GeV/c2 (infinity). Though the model is not Lorentz invariant and implies that the speed of light is frequency dependent, its deviations from special relativity may be rendered arbitrarily small by choosing a coupling strength which increases sufficiently fast with frequency. A suitable frequency dependence of the coupling strength effects an ultraviolet cut-off. The propagation of a point-pulse suggests that the disturbances may spread in the immediate neighbourhood of the source with a speed greater than the speed of light