Uncertainty and basis vectors of relativity

Rothiemurchus
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Do the basis vectors of Einstein's General Theory of Relativity have the same point of origin, given that the uncertainty principle says that we can't know exactly the position of something? And if we say the basis vectors do have the same point of origin isn't this the same as introducing bias and speculation into into the theory - it's like saying that we know space is bosonic (particles occupy same place at same time) and it isn't fermionic (particles can't occupy same space at same time).
 
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Coordinates aren't physical things, they are a method of description. The uncertainty principle says we can't know where and how an object is moving through those coordinates with perfect accuracy, it's nothing to do with the coordinates themselves.
 
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