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Theres literally a section on how to explain the paradox (not even a potentially real thing anyways…..) Using doppler.
It doesn't use Doppler.
You don't understand how relativity works. I've seen someone make the exact same error you did, about twenty years back, thinking that time dilation was a result of the Doppler effect of light.
It would be impossible for the aging effect to arise in the twin paradox if relativity were the Doppler effect of light because in that scenario, as in that case, there is the same amount of outbound and inbound travel.
Relativity effects show up when you have two different entities traveling at different speeds relative to each other. The direction of travel does not matter. One could be traveling toward, away from, or at right angles to another.
You're trying to explain relativity just using Newtonian physics, which permits for the Doppler effect. Newtonian physics don't provide for relativistic effects. That's why relativity was such a big deal -- because it explained behavior that was incompatible with Newtonian physics.
In actuality, you wouldn’t be returning to the same place, the earth has moved through space and time itself. So none of these theories work since neither could return to the same place. Thats why they are theories….
And again, your own wikipedia source has a Doppler section…. So you are now saying your own source isn’t correct?
The twin paradox doesn't rely on that.
It's talking about compensating for the Doppler effect if the two are communicating.