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
Famous quotes containing the words hole and/or argument:
“Dreams have a poetic integrity and truth. This limbo and dust- hole of thought is presided over by a certain reason, too. Their extravagance from nature is yet within a higher nature.”
—Ralph Waldo Emerson (1803–1882)
“The difficult part in an argument is not to defend one’s opinion, but rather to know it.”
—André Maurois (1885–1967)