I’ll forgive you if you take the fact it’s more pronounced on one side to mean it’s less pronounced on the other side. Wouldn’t it almost have to be?
Of course. But there's more to it than that. Gravitational lensing caused by a body not rotating has an equal magnification factor on each side. We'll call that factor "1". So what I surmised, and I'm making up the numbers here, is that the magnification on the side rotating away from us would be, say, 1.1, the magnification factor on the side rotating toward us would be .9 and the magnification factor on the scales would be the expected 1. So yeah, if the one side is increased at 1.1 then the opposite side would obviously be less than 1.1, but my idea says it should be less than 1. It should actually be a gradient magnification based on the rotational speed of the rotation of the surface of the body (assuming equal mass distribution) at a given longitude. The magnification difference would be most pronounced at the equator, begin to "normalize" slowly and then normalize much more quickly as you approach the poles, where it would be the same magnification it would be if the body were not rotating, which should be the same magnification you would see on all sides if you were directly facing one of the poles.
Do we know enough about the difference in final speed between the two objects for someone to create a computer model of it? Or is it all based on measurements, meaning we can’t model because we don’t know enough about it to create formulas that describe it?
Given that there is no theory yet as to what's causing it there would be no way to model it. I suppose it could be modeled based on my thoughts to see if my ideas pan out, but that's beyond my abilities. Then the model could be compared to actual values to see if the model matches observation.
And I will throw this out there just because I like this conversation. It is absolutely possible that time does not exist, but none of our observations, including that time slows at faster speeds, are wrong.
Imagine this. We have a mass moving through space at a given speed, let’s say a human body holding a wind-up watch in one hand and an atomic clock in the other. This mass is made up of molecules. These molecules interact with each other countless times in the blink of an eye, doing a little dance, as it were. Chemical reactions in the brain allow us to observe our two clocks and interpret what we are seeing. The movement of molecules allows the spring on our wind-up clock to unwind and tick away the seconds. Molecules, being matter, may move at any speed except the speed of light.
Now, those molecules are made up of atoms. Those atoms have their own interactions with each other and do their own little dance, allowing molecules to form. Here, too, they can interact with each other to produce chemical reactions. And these atoms decay at a given rate (within the same time frame) which allows us to measure time much more precisely.
Further down the line, these atoms are made up of subatomic particles. You have electrons, protons and neutrons, each doing their own little dance. They interact with each other allowing atoms to form. And it is this interaction which dictates the decay rate of nuclear material. And at this same level we have a whole bunch of other particles, such as bosons and photons. These get a little weird and I’m not entirely familiar with the structure here, but an electron can absorb a photon, becoming a higher energy electron, or emit a photon, becoming a lower energy electron. And some of these, such as the photon, move at the speed of light. The point is that these other particles also do their own little dance.
Further down from that you have quarks, which all these other particles are made of each doing their own little dance with each other to form subatomic particles. I know less about them.
And finally (for now) we have the 12 known fields in the universe (not counting gravity) which these quarks are made of, doing their own little dance to make up quarks.
Now, after all of that we can look at how time may be an illusion, but still look like a reality. We know that matter moves at any speed except the speed of light and we know that energy moves at the speed of light. Because we can only really “do physics” from a perspective of relativity we fail to realize that there is an actual change in speed. All of these little dances that all of this “stuff” of the universe does, combined with its movement through space, cannot exceed the speed of light. That means the faster you propel your mass through the universe, the slower these little dances have to go to keep from going faster than the speed of light. When the dances go slower, the interactions between these things is slower. Chemical reactions slow down, springs unwind slower, radioactive elements decay slower because it is these interactions between the stuff of the universe at every level which sets the rate at which these things happen. Increase the speed the overall mass is traveling through space and the dances decrease in speed to match.
This suggests a “universal speed”, a speed at which all things in the universe are traveling at all times on the basest level (the fields that make up everything). The fields are always moving at this universal speed and they can move at no other speed. That speed is slightly faster than the speed of light (if it were not then a photon, moving at the speed of light, could not exist because the dance the fields ultimately do to form the photon would cease and the photon would collapse). At the basest level of the universe these fields always move at this universal speed. These fields make up everything which makes up everything which makes up everything which makes up you. So what you increase your speed in a single direction through space you are really changing the directional momentum of these fields. The sum total of the speed of the fields must be the universal speed. So if you go faster, they seem to slow down, causing what we experience as time dilation.
I don’t think I explained that well, so if you’re not getting it let me know and I’ll try to come up with a decent analogy when I have more time.