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Does it really 'stretch' or are we experiencing it as if it's stretching?

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Time does really "stretch"
Consider a satellite orbiting around the earth
The clocks on board and the ones on the earth are not syncronized
Of course they are perfectly working , time is different

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Perhaps it's simply the equivalent of an 'optical illusion' (but a truly physical one

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Of course it is not a simply "optical illusion" like effect
Do you think that thousand and thousand super brains would have wasted their time with the theory of relativity, if so ?