this post was submitted on 11 Feb 2024
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Correct, that's classical relativity, from before the notion of spacetime even existed.
It depends on who does the acceleration. Acceleration is key for the twin experiment, and the reason it works is because they are the one accelerating and decelerating. This requires "general" relativity to make sense, it can't be explained by merely special relativity.
I don't get what you mean here... which 3d vector are you referring to, and why should it exist? One of the important concept is that every reference frame is equally valid.
From one pov the earth sped up, instead of the twin's spaceship slowing down. These are both valid interpretations. You can always catch up by doing the opposite of what you did before, but you need to look at acceleration for it to make sense. Acceleration is what turns your 4d vector so your reference frame changes, and you can sort of arbitrarily change "passing of time" if you can induce unlimited acceleration.
I feel like you're rediscovering the idea of an "aether" which was disproven by Lorentz and Einstein.
Note that I'm not a physicist, just someone who loves staying up to date with modern physics!