Electro-weak theory

As this concerns the nature of non-Abelian electrodynamics, we will pursue the matter of a GUT that incorporates non-Abelian electrodynamics. This GUT will be an 50(10) theory as outlined above. We have that an extended electro-weak theory that encompasses non-Abelian electrodynamics is spin(4) = 51/(2) x 517(2). This in turn can be embedded into a larger 50(10) algebra with spin(6) = 517(4). 50(10) may be decomposed into 517(2) x 517(2) x 517(4). This permits the embedding of the extended electro weak theory with 517(4), which may contain the nuclear interactions as 517(4) 51/(3) x 1/(1). In the following paragraphs we will discuss the nature of this gauge theory and illustrate some basic results and predictions on how nature should appear. We will also discuss the nature of fermion fields in an 517(2) x 51/(2) x 51/(4) theory. 

Note that n — N/2 corresponds to the independent particle model analogous to the celebrated Hartree-Fock equations in atomic and molecular physics. We also observe that the fundamental interaction mentioned above is unitarily connected with the electromagnetic interactions between the particle m0 and the antiparticle —m0. Since we do not make any distinctions between the Klein-Gordon and the Dirac equation, we are not able here to integrate the electro-weak theory although in principle this should be possible. 

The weak interaction, some lO times weaker than the electrom neUc interaction, occurs between "leptons and in the decay of hadrons. It is responsible for the "beta decay of particles and nuclei. In the current model, the weak interaction is visualized as a force mediated by the exchange of virtual particles, called intermediate vector bosons. The weak interactions are described by "electro-weak theory, which unifies them with the electromagnetic interactions. 

As mentioned in the introduction to Parts A and B, new experimental methods have enriched and advanced the field of atomic spectroscopy to such a degree that it serves not only as a source of atomic structure data but also as a test ground for fundamental atomic theories based upon the framework of quantum mechanics and quantum electrodynamics. However, modem laser and photon correlation techniques have also been applied successfully to probe beyond the traditional quantum mechanical and quantum electrodynamical theories into nuclear stracture theories, electro-weak theories, and the growing field of local realistic theories versus quantum theories. 

M.C. Noecker, B.P. Masterson, C.E. Wieman Precision measurement of parity nonconservation in atomic cesium A low-energy test of the electro-weak theory. Phys. Rev. Lett. 61, 310 (1988)... 

In order to make this consistent with the SU(2) x (7(1) electro weak interaction [4], theory we initially require that A3 = 0 everywhere on scales larger than at unification. If this were nonzero, then Zo would have a larger mass or there would be an additional massive boson along with the Zo neutral boson. The first case is not been observed, and the second case is to be determined. This assumption, while ad hoc at this point, is made to restrict this gauge freedom and will be relaxed later in a more complete discussion of the 3-photon. This condition is relaxed in the following discussion or chiral and vector fields. This leads to the standard result that the mass of the photon is zero and that the mass of the Zq particle is... 

In combination with adsorption measurements, electro-optics is proved to be a powerful technique for studying the structure of adsorbed polyelectrolyte layers. Our data show flat conformation of the adsorbed macromolecules, which slightly depends on the polyelectrolyte charge density in accordance with the theory for weak poly electrolytes. Counterion condensation is also suggested on the surface of weakly charged poly electrolytes, which has not been predicted from the theory. 

---