RE: How Gravity Produces Electromagnetism and Redshift per Distance
You are right to say that the overall length of the Figure-8 would also shorten.
I guess the best way to really visualize this is through something like the picture here. Ultimately, this light is part of the electromagnetic field of the body causing these Figure-8's to arise and would be much the same, though we are only seeing a tiny fraction of the body's electromagnetic field flow arriving at Earth.
Envision light traveling in the outer most Figure-8 depicted, it would have a much larger radius than more inner Figure-8's, so the gravitational redshift that results from the outer ring is less per distance because the motion (especially to get from one side of a loop to the other) occurs further outward from the system.
I wasn't intending to say that the overall length remains the same while radius decreases, sorry, it was more so an oversimplification. The actual distance traveled in each given Figure-8 would shrink as well as you state, but the reason the rate of gravitational redshift per distance would accelerate is due to the reduced radius.
For simplicity, let's say over the course of repetitively traveling in a Figure-8 orbital, it shrunk down to a total length of 5 from 10 and a radius of 1.5 from 3. Then, two orbits through the length of ~5 would have the same distance as the first Figure-8 traveled, but the gravitational redshift would now be a function of a smaller radius which would produce an observation of an accelerating rate of redshift per distance.
Ok, so the less the maximum distance the particle orbits from the Mass, the greater the redshift, due to the gravitic force being stronger?
Yeah exactly. So this gravitational redshift approach is specifically intended to address why dark energy does not exist, as it was interpreted to exist due to accelerating rate of redshift per distance.
At smaller distances, the rate of redshift per distance is essentially constant which is known as Hubble's Law; this is because the Figure-8 sizes of subsequent orbits are essentially the same initially and then begin to shrink exponentially over larger distances. Hubble's Law is considered linear, but really it is just the linear portion of an exponential, where it has yet to "take off" so it appears like a linear relationship within a certain range. This is why we had "expansion of space" initially, then saw redshift per distance became exponential and instead of recognizing them to all be caused by the same thing, another new concept was added on top of "dark energy" to attempt to explain the observations.
This is where Occam's Razor really drives home that these added complexities to the model are misinterpretations rather than actual descriptions of reality because the observations can also be the result of gravity as we are discussing, which requires no additional fundamental elements in the model but rather removes many.
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