Regarding to the speed of information.

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Shreyas Shree
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If the sun suddenly vanished, hypothetically ceased to exist. Would the Earth still continue on its circular path for 8 min 20 sec? and then leave its orbit tangentially?
 
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Basically - yes.
Otherwise moving a massive object about could be used for FTL communication, violating causality.

(There's a lot of other stuff, but I know what you are asking.)
 

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