RE: How Gravity Produces Electromagnetism and Redshift per Distance
Let's say that a Figure-8 has a total length of 10 units if it were to be stretched flat into a line so that the total length to trace from the center and through both loops and back to the center is 10 units, and that its loops have a radius of 3 from the center. Now let's say that a particle flows along this Figure-8 repetitively, moving through it 10 times, traveling a length of 100. While it's distance of travel is continuously additive, its maximum radius of separation from the center is still 3. Gravitational redshift would be a function of the distance of separation as it travels and so at the minimum force of gravity would be when the particle is 3 units from the center, regardless of where it is in the 100 units of travel.
In the case of redshift shrinking the size of the Figure-8, lets say the loop radius diminishes as redshift occurs so that its maximum radius is now 2.5 after traveling a length of 100 units. Initially, the gravitational redshift occurred over a maximum radius of 3 but now the maximum radius is smaller. As gravity is an inverse of radius-squared, the reduced size of the Figure-8 orbital due to repetitive travel through the loop leads to an increased force of gravity on the particle as it travels. This leads to an accelerating rate of redshift per distance because the distance of separation decreases as the Figure-8 orbital shrinks over larger distances traveled.
I know its a bit confusing, but that is because it is literally not straight-forward. The key is that the light is traveling in Figure-8 orbitals due to gravitational lensing rather than straight lines and this causes it to be maintained within a distance of separation of the radius of the Figure-8 even while traveling further and further lengths from the source. If it were traveling in a straight line then the gravity from a given object would decrease over larger distances traveled, but because it keeps looping back inward to it larger distances don't have the same result. Light that arrives at Earth after many such Figure-8 orbits looks like it traveled 13 billion lightyears in distance, for example, because it did; but it just didn't travel in a straight line as is assumed but rather in Figure-8's due to the immense gravitational pull of a sufficiently large and proximal mass (the Great Attractor is my best guess). This object gravitationally lensing the light is simultaneously gravitationally redshifting with each loop it travels through. I hope that made sense! I can make some figures or even write another post about this specifically if that would help, I think it would be useful to do so regardless.
Ok, I am indeed struggling with this, but not because I am confusing a straight line.
The 8 loop, if laid out straight would be 10 units long, and has a radius of 3 units. When the radius shrinks to 2.5, then the length of the loop, if laid out straight, would then be shorter, a lesser distance. Say, 8 units.
If I made loops with strings, that's how it would work out.
So, stating that the overall length remains the same, or increases, while the radius decreases, seems contradictory. Gravitational lensing does cause the 'straight line path' taken along the gradient to be curved, in this case curved enough to be an orbit.
Are you saying that the loop becomes 'stretched', as in elongated? Then I could see that the transverse radius could be shorter, while the overall distance becomes longer. If the loop retained the same proportion of length to width (as I was assuming) then increasing the length would increase the radius.
So I must assume that you are referring to the 'width' of the loop decreasing, while the length of the loop is increasing.
Is that correct?
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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