twists and Schroedinger

OK, with this twist stuff I’ve gone far enough that I need to reconnect with standard model physics. All this stuff with photons and electrons is well described by the Schroedinger and Dirac equation solutions. Does the twist concept fall in line with this well established work, and if so, does it add anything? I think the answer is yes, and yes. The Schroedinger wave equations should be consistent with the twist concept–it is essentially a Fourier summation of complex wave coefficients that should permit any analytic composition of waves that meets the E=hv requirement, Dirac working relativistically. What does seem to be a problematic issue is the sheath concept, but I’m not at the point where I’m convinced that it is necessary. More thought needs to happen on that.

What about the ring concept for electrons, is that going to pass muster with Schroedinger? Actually, probably the more relevant concern is why experimental physics has not detected internal structure with the electron. High energy scattering produces two types of scattering angle distributions depending on whether there is internal structure to a particle or if it is infinitesimal point-like. If the particle is pointlike, there are essentially equal quantities of reflected particles at every angle–the majority of particles colliding with a point source will not hit, but when it does, there will be a much higher probability of sharply angled rebounds. if there is internal structure, interaction is going to be acting on a diffuse volume, and the majority of successful interactions will see low deflection. Quarks were found because scattering experiments showed internal structure to the proton–but even the highest energy scattering off of electrons shows no internal structure.

Since the twist has no radial dimension, a scattering off of the ring should be at any given instant the same as a point particle. What about a scattering difference based on whether a particle goes through the ring rather than outside (using a particle “smaller” than an electron)? There’s no question, the experimentally observed scattering distribution for an electron is radically different than for a proton. For now, my assumption is that such a particle collision with the ring will not interact unless it hits the twist directly–a knife edge collision that should behave the same as hitting a point particle.

You may be asking (is there really a “you” out there reading any of this? Inquiring minds want to know!!) if electrons are rings, how does that make a knife edge collision? Pretty clearly, the accelerated electron cannot be very sizable if the use of a relativistic electron produces the sharp bounce back when it has hit another particle. My thinking here is that when the ring is accelerated, it becomes a spiral–and the twist within the spiral must hold to c. In order for this to be true, there is no choice but the radius of the spiral must decrease (in fact, this is fascinating in its own right, because when you unroll this spiral, you get a delta distance right triangle that shows that the radial component must decrease by the special relativity beta factor, thus geometrically revealing the Lorentz equations of special relativity).

This radial decrease, when divided by the delta in distance caused by the accelerated particle’s velocity, is exactly Planck’s constant, yielding the uncertainty principle for the electron delta = dx * dp. In the relativistic limit, the ring becomes closer and closer to a straight line, such that it approaches the exact same state as a straight-line twist–that is, a photon of the same energy, at least according to my twist theory. An accelerated electron or positron (for that matter, this analysis would hold true regardless of the geometrical structure of one dimensional twists–any accelerated particle is going to have to asymptotically approach the point particle cross section unless there are multiple components like the proton or neutron).

So–can you see why I think the twist theory, and also the ring theory for the electron (or other particles, which will have some other geometrical combinations of twists) isn’t as far off from established science as perhaps you might have first thought when reading this? Nevertheless, this all assumes the scattering results of hitting a ring of twists would be indistinguishable from hitting a point particle. More thinking, and perhaps some analysis, is needed to see if that’s really true.



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