Hole Argument

In general relativity, the hole argument is an apparent paradox that much troubled Albert Einstein while developing his famous field equation.

Some philosophers of physics take the argument to raise a problem for manifold substantialism, a doctrine that the manifold of events in spacetime are a "substance" which exists independently of the matter within it. Other philosophers and physicists disagree with this interpretation, and view the argument as a confusion about gauge invariance and gauge fixing instead.

Read more about Hole Argument:  Einstein's Hole Argument, Meaning of Coordinate Invariance, Einstein's Resolution

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