In my continuing effort to keep 'all things C-field' in one spot, I copy from a response on Willard Mittelman's page to questions about the electromagnetic field:
The primordial field, in my theory, is gravity. It satisfies the Calabi conjecture and deSitter space, where gravity extends over (defines?) all space, and is generated by its own self energy. This bootstrap is mathematically justified, and since no one knows WHY the universe came into being, I simply assume it existed as one field. The Master equation is perfectly symmetrical and motion invariant, but the formal time derivative makes sense only if a new constant (Planck's constant) appears. The perfect radial symmetry remains until a 'quantum fluctuation' [my second assumption] occurs in an 'off-radial' direction, unlocking the energy of the C-field--which had been suppressed by the perfect symmetry-- and initiating inflation.
We now have the full gravitational field with radial and circulatory aspects.
The fact that both directly interact with mass and both have energy, hence equivalent mass, and the interaction is non-linear (Yang-Mills), means that a C-field vortex will establish a 'solenoidal' C-field dipole, which strengthens the vortex, which strengthens the dipole, which strengthens the vortex, with the process ending in an infinitely dense point. UNLESS THERE IS A LIMITING CONDITION. I next assume that a limiting condition exists [otherwise the universe would be nothing but one [or more?] infinitely dense points, which doesn't seem to be the case. The condition I impose is a 'limit to the curvature of the C-field. That is, the C-field vortex has a 'minimum radius' that prevents collapse to an infinitely dense point.
But where does that lead? Picture a spinning skater who pulls her arms in. How fast can she spin if she can pull her arms into zero radius? Got that? Is there an answer? On the way to 'zero radius' can her fingertips reach the speed of light? We are not 'boosting' her in any way that requires infinite energy, we're just conserving angular momentum.
Since there is nothing stopping the non-linear vortex-dipole-vortex-dipole--- feedback process, in which the energy-mass of the vortex wall serves as a 'mass current' (momentum) that induces a solenoidal C-field dipole, then the radius of the vortex keeps shrinking and the velocity of the vortex wall continues to speedup to conserve angular momentum. Where does this end? Will the vortex wall reach the speed of light? If it does, then how is it connected to the rest of the world, since, if there was an electromagnetic field, we could not 'look at' the the vortex, because, moving faster than the speed of light, it would have 'moved on'. And, unable to see a 'mark' on the particle, all particles are identical.
Now, if we work out the equations, this radius is basically the Compton wavelength, and I make my next assumption, which is that at this point, electric charge comes into existence. It's probably my weakest assumption in my whole theory, but, I now have mass, charge, gravity and electro-magnetics.
And obviously the charge that is on the vortex 'wall' will resist shrinking to an infinitely dense point through self-repulsion. So now a true limiting force exists to prevent infinitely dense points of C-field energy.
If one takes the simple equation of the mass of the vortex wall being forced into a smaller orbit, and sets it equal to the self-repulsive force of the electron, then one would hope to find the equilibrium where the inward C-field force and the outward electric force are equal and the particle is stable. And when this equation is worked out, the fine structure constant (1/137) falls out! I put the exclamation sign because I don't believe that there exists another theory that can calculate the fine structure constant.
By the way, the v=c radius is the Compton wavelength of the particle, but the radius where the charge repulsion equals the inward force is about 10^-18 meters which agrees with the best measurements. So the electromagnetic field can see only to the v=c radius, but collision data can see all the way down to the 'real' radius. I find that nice.
So now we have a Z-boson (the C-field vortex) that produces a charged particle and, if charge is conserved, then the remaining vortex (outside of the Compton wavelength radius) has acquired a charge, and become a W-boson, ready to produce an 'anti-particle'.
There's more, but I'll stop here.
The question arose, where are these derivations? Having left both academia and the government years ago to run my companies, I am not in the loop, and my submissions to Phys Rev Lett were immediately rejected with "don't darken our door again". So, I had the choice of 'start with inconsequential journals and work my way up' (which at my age is not appealing) or simply put this into books and hope someone reads them. Although I have presented the above in several factual books, the most complete presentation is in "The Chromodynamics War", which has the format of a scifi novel, in the hope that graduate physics students, upon reading a scifi novel that explained things better than their QCD textbooks might be induced to look further. Then fqxi came along and gave me another outlet.
Each book has worked out more details and corrected earlier typos and mistakes, but the most complete treatment of particle physics is "The Chromodynamics War". A version that drops the scifi narrative and simply presents this in straight form is in process, to be titled, "Physics of the Chromodynamics War".
Sorry this can't all fit into 9 pages, but it just can't.
Edwin Eugene Klingman
