electron size

The thing that kills most crackpot theories about the electron, like my unitary field twist ideas, is that they assume a size and structure much larger than what experiment shows. Any theory that has a size near the wavelength of the electron is proposing a size many orders of magnitude greater than what scattering experiments indicate. In addition, experiments can indicate internal structure by bombarding the target with high energy photons–frequently this will induce excited states that imply something other than a point. There are many other experiments that indicate size and structure, but in every case, the electron shows point-like particle behavior. In the past, when I’ve proposed theories that give structure or size to the electron, physicists have responded by saying that that is contradictory to these experiments.

I’ve always had this in mind when I’ve thought through and posted about all these issues with the unitary field twist theory. I’ve suspected that the theory might predict a point scattering result because the ring (that models the electron) is a circular twist where the interaction cross-section is the infinitesimally wide width of a ring section. In addition, it is clear that a relativistic velocity stretches the ring into a spiral that asymptotically approaches a straight line twist where the cross-section will be tiny if not zero-dimensional. Scattering experiments accelerate particles such that this will happen.

The recent electrostatic moment experiment, where it was found that the electron has zero electrostatic moment, or as close to zero as could be measured, is a profound statement of the electron structure or lack of. It throws into doubt that there is a sizable structure such as the twist ring I propose. The only salvation here is that the twist ring consists of no charge distribution, but rather that the twists induce a magnetic component that in the far-field creates a uniform electrostatic field. I think this is workable but on the doubtful side. I began attempting to compute this field effect to see if a unitary twist ring model of the electron would match the known measured electrostatic field, and if this field would be uniform.

However, this line of thinking led me to an important realization. There is a question whether the electron is truly a zero dimensional point or just incredibly small, such as Planck length sized. I realized it cannot be a zero dimensional point–here’s my reasoning. An electron will experience a force (say from a source electron or positron) that points either toward or away from the source electron. If the electron is infinitesimally small, then there is a neighborhood that can be made arbitrarily small about it. The only way the receiving electron can know whether to move toward or away from the source particle is if there is a measurable field gradient within the active region of the receiving particle. This can’t be right if the electron is infinitesimally small because we can choose an arbitrarily small neighborhood around the electron. In so doing, we can make the gradient arbitrarily small and there would be an arbitrarily small force on the electron, because it is proportional to the field gradient in the electron neighborhood. The conclusion would have to be, if I’m thinking right, that there has to be a finite structure to the electron to pick up this gradient.

Another way to think about this is assuming a quantized field consisting of rays of virtual photons, and assuming that these photons are partial linear twists. If the active region of the electron is infinitesimally small, the intercept region is infinitesimally small and the probability for absorbing an electron is infinitesimally small. But I’ve been truly wracking my brain to try to think of an experiment that would (even coarsely) quantify the size of the ring and not the interaction cross-section of the ring.

While my analysis is by no means rigorous, the logic is strong and points me to the likelihood of a significant structure element for the electron.

I’m also doing another line of thought. If the unitary field twist theory is right, it should be possible to compute the effect of accelerating an electron twist ring. Acceleration will temporarily distort the twist ring and the force resisting this distortion should equal the inertia of the electron and yield the gravitational constant. Will it? I should find out soon…

Agemoz

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