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:
“The more supple vagabond, too, is sure to appear on the least rumor of such a gathering, and the next day to disappear, and go into his hole like the seventeen-year locust, in an ever-shabby coat, though finer than the farmer’s best, yet never dressed.... He especially is the creature of the occasion. He empties both his pockets and his character into the stream, and swims in such a day. He dearly loves the social slush. There is no reserve of soberness in him.”
—Henry David Thoreau (1817–1862)
“The argument ad feminam, all the old knives
that have rusted in my back, I drive in yours,
ma semblable, ma soeur!”
—Adrienne Rich (b. 1929)