Nonabelian Electrodynamics and SU(2) SU(2) Electroweak Theory in LEP1 Data on Z Particle Production

Nonabelian electrodynamics is a formalism electrodynamics with a cyclicity condition that predicts the existence of a magnetic field called B[1]. This magnetic field has been upheld as a reason for Inverse Faraday effects. Nonabelian electrodynamics, often called O(3) electrodynamics, requires that electroweak unification, based on Glashow, Salam, and Weinberg, be modified to include this extension of electrodynamics to a symmetry that is larger than the U(1) gauge theory. It was recently suggested by Erler and Langacker [2] that an anomaly in Z decay widths points to the existence of Z’ bosons. These are predicted to exist with a mass estimate of 812 GeV–152 within the SO(10) GUT model and a Higgs mass posited at 145 GeV–61. This suggests that a massive neutral boson predicted by Grand Unified Theories has been detected. Further, variants of string theories predict the existence of a large number of these neutral massive bosons. Analyses of the hadronic peak cross section data obtained at LEP 1[2] implies a small amount of missing invisible width in Z decays. These data imply an effective number of massless neutrinos, N = 2.985 0.008, which is below the prediction of 3 standard neutrinos by the standard model of electroweak interactions. The weak charge QW in atomic parity violation can be interpreted as a measurement of the S parameter. This indicates a new QW = –72.06 0.44 is found to be above the standard model prediction. This effect is interpreted as due to the occurrence of the Z’ particle, which will be referred to as the Z particle. SO(10) has the six roots i i = 1 6. The angle between the connected roots are all 120, where the roots 3 4 are connected to each other and two other roots. The Dynkin diagram is illustrated below: