April 2025 - SU(2) Gauge Group Mixing

The mixing between the full SU(2)e and SU(2)CMB is achieved through rotation of the deconfining phase fields by the Weinberg angle. The field is either the fundamental field strength tensor or the effective gauge field in unitary-Coulomb gauge.

Using the values for q in both SU(2)e and SU(2)CMB, the Weinberg angle can be determined thermodynamically, and the correspondences between their Cartan algebras. In the mixed model, the Weinberg angle changes as a function of the deconfining bulk. In nonthermal, weak-coupling, complete SU(2) gauge-symmetry breaking at vacuum expectation of 246 GeV, the Weinberg angle comes out of a ratio of vector boson mass. This is the Standard-model definition. The effective Higgs are mechanisms that are adjoint in the deconfining-preconfining W-boson phase and an Abelian one in preconfining-confining Z-boson phase. The effective dual, massive U(1) mode of the preconfining phase in SU(2)e functions as the massive vector Z-boson in the Standard Model. Slightly below critical temperature, the boson masses can't be thermodynamically defined in the mixed model, so all massive gauge bosons are solely generated in SU(2)e, which would render the definition for the Weinberg angle meaningless. It's definition would have to be taken from an extended model that includes the other lepton groups as well.

The creation of the lepton pair happens from an initial nonthermal 2-photon state. There is a fixed mixing angle after the blob volume stabilizes under thermal equilibrium. The Weinberg angle can be determined at given 4-momentum transfer, if it's known at some other 4-momentum transfer. SU(2) TM-TD has a computable Weinberg angle at zero 4-momentum transfer. The mixed blob pressure above critical deconfining-preconfining temperature to one-loop accuracy is

Setting the bulk pressure to 0 at critical temperature identifies the relevant pressures for the SU(2)e and SU(2)CMB components, which - by λ-dependency - can be extrapolated into pressure functions. The prediction of the Weinberg angle determined through the zero temperatures are all about 30 degrees, which fits the expectation.

The gauge-theory mixing in the deconfining-phase bulk of the blob under an external effective gauge field probing the blob charge into SU(2)e gives a definition for the inverse finestructure constant.

This deviates minimally from the experimental value, which can be explained through the phase mixing within SU(2)e and the gauge group mix in the thick boundary shell.

For a pure SU(2)e model, the electron rest-mass equals the lowest circular breathing frequency of the monopole.

This gives numerical values to the particle properties discussed so far, as well as the critical temperatures, and the screening length within the blob.