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Originally Posted by C1ay
You are saying the big bang universe has no boundary?
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No, big bang cosmologists say the big bang universe has no boundry. Certainly you've heard the comparative metaphore of an ant walking on the 2 dimensional surface of an expanding balloon. In those two dimensions, the baloon has no boudries. This is then applied to the third dimension, when referring to the infinite properties of the universe. It is generally difficult for most people to understand or conceive of in three dimensions.
As for the shape of the universe: flat, spherical, or hyperbolic. It is generally believed to be flat and infinite. The shape of the universe will ultimately decide its fate -- whether it expands for ever (the leading theory due to dark energy and an increasing rate of expansion) or collapse (if gravity can overcome dark energy and draw all matter back into a singularity via a 'big crunch').