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I am not a science specialist, but I do have interest in this area. Space is already curved. Space curves around gravitational fields; the bigger the field the bigger the 'bend'. For example, light from distant stars will bend as it passes by the sun, or even by super-large structures like galaxies. Einstein's theories seem to indicate that it is space itself that bends, and the light travels straight through the bent space. The space of the universe itself is bent in some ways, leaving us with a space that is, according to some, finite but unbounded. COUNTERPOINT: David Harriman in his lecture "Physicists Lost in Space" makes the point that there is no such THING as space. He is correct and Einstein, siding with Plato was wrong. The lecture can be found at the Ayn Rand bookstore. COUNTER-COUNTERPOINT: Yes, space exists and yes, it can be bent....I agree with whoever posted the top answer. As far as our understanding of the universe goes, it is bent. This is needed to explain why light bends in gravitational fields without a mass (and it cannot have a mass because it moves at the speed of light and infinite energy is required to accelerate to the speed of light) Therefore, unless we change our paradigm away from Eisnteins theories (which are still held as true) Space is curved.

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