In the last post, I have produced three angles [A(0), A(1) and A(2)]. The fact that A(1) and A(2) are coincidentally equal to the Cabibbo and the Weinberg angles is just happy coincidences. Cabibbo angle is a perimeter for the weak interaction. The Weinberg angle is from the mixing ratio for the W-boson and Z-boson. Yet, the A(1) and A(2) arise from a completely different logic, a new theory of zeros/infinities symmetry breaking.
However, if we can make another major connection to the foundation of physics with these two angles, then, they are no longer a “number game” or happy coincidences. This simple theory of zeros/infinities symmetry breaking must be the foundation of physics.
The key foundation of this physical universe is its physical constants, such as, the electric charge (e), the light speed ( C ) and the Planck constant (ħ = h/2π). If there is any variation from these constants, this universe will become very unstable. Thus, a constant which is derived from these constants must be the center anchor for this physics universe. And, alpha = e^2/ħc is such an anchor as it combines three the most fundamental physical constants together. Alpha is called the "electron fine structure constant" ( http://en.wikipedia.org/wiki/Fine-structure_constant ). In fact, the value of Alpha can be calculated via its definition. And, it is also measurable experimentally. The currently accepted value is Beta = 1/ alpha = 137.0359895…
Richard P. Feynman (Nobel Laureates of physics) wrote about this Alpha, “… Immediately you would like to know where this number [alpha] for a coupling comes from: is it related to pi or perhaps to the base of natural logarithms? Nobody knows. It's one of the greatest damn mysteries of physics: a magic number that comes to us with no understanding by man. You might say the ‘hand of God' wrote that number, and 'we don't know how He pushed his pencil.’ We know what kind of a dance to do experimentally to measure this number very accurately, but we don't know what kind of dance to do on the computer to make this number come out, without putting it in secretly!”
Indeed, besides its definition, no one (not just Richard P. Feynman) was able to come up this number “alpha” with a currently accepted physics theory. Yet, this dimensionless constant (alpha) is the direct consequence of this zeros/infinities symmetry breaking, a new physics.
Beta = 1/alpha = 64 ( 1 + first order sharing + sum of the higher order sharing)
The first order sharing (from the dividing angle) = 1/Cos [A(2)]
Note, the sharing (or mixing) is about how the members (elementary particles) share the pie of the wholeness, such as, how big a share that a W-boson will take in comparison to the Z-boson’s share.
The sum of the higher order mixing = 2(1/48)[(1/64) + (1/2)(1/64)^2 + ...+(1/n)(1/64)^n +...] = .00065737 + …
Note: The value for the first three terms of the higher order mixing = .00065737
Thus, Beta = 64 (1 + 1/Cos [A(2)] + .00065737 + …) = 137.0408704 …
Note: there is a 0.0036% difference between this theoretical number from the measured value. The A(2) =28.75 degrees is calculated with the universe having the zero mass, and it could be compressed a bit after the universe gained its mass. Thus, this difference can be a way to estimate the mass of the current universe.
Well, numbers game or not, I have produced a dimensionless constant (alpha), the greatest damn mysteries of physics, with a consistent logic, the zeros/infinities symmetry breaking. Furthermore, this greatest damn mystery of physics is the center anchor for the physics universe.
While no one truly know what the physical meaning for alpha in the current physics theories is, it is simply the “stock sharing” rule, in this new physics, for the elementary particles to get their share of the pie in this space-time sheet universe. And, this, of course, deserves to be the center anchor for physics.
Tienzen (Jeh-Tween) Gong