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Originally Posted by Mosheh Thezion
Is the Sun moving with the galaxy in its direction or against it?
and at what speeds... i.e.. it all adds up to the real speed of the earth in space.
-MT
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The point is that the earth and the sun can't both be moving at the same speed relative to the fixed background that you propose is responsible for time dilation. The difference in their speeds (and therefore their time dilation) must alter over the course of a year due to the earth's orbit, according to what you've said. So according to your theory, on earth we should be able to observe this difference by observing the light from the sun redshifting and blushifting from the average over the course of a year.
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If logic doesn't work, then surely it does.
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