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Presumably you mean the Hafele-Keating experiment, and if so you have misunderstood the result. It is demonstrating the twin paradox in which two clocks are synchronized, one of them flies somewhere else, and then when they are brought back together less time has passed on the traveling clock. It's tempting (but wrong) to explain this as time dilation and "time slows down for the moving clock"; but this leads to a paradox because we could just as well say that the on-the-ground clock is the moving one and therefore it's the one that should have lost time. The resolution of the "paradox" is that time dilation isn't what's going in this experiment.RossBlenkinsop said:In fact I think it is even confirmed by experiment where a very accurate "moving" clock apparently lost time
However, you probably don't want to take on the problem of understanding the twin paradox until you have corrected your basic misunderstandings about what a frame is and the distinction between points in spacetime and points in space. For that, I will second @Ibix's recommendation of Taylor and Wheeler - their presentation gets to these issues early and thoroughly.