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Can a wormhole exist without a white hole?

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Can a wormhole exist without a white hole?

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white hole: a destination that pushes all matter away and therefore remains out of reach. black hole: A destination that acts like a vacume pulls all matter into its vortex Black holes attract matter and White holes eject matter In astrophysics, a white hole is the theoretical time reversal of a black hole. But a wormhole is a spacetime event when space and time folds over itself and a wormhole bridge can be formed and as a wormhole is transferable in which you can travel both ways by traveling thu the mouth down the throat and out the other mouth.

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The complete Schwarzschild geometry consists of a black hole, a white hole, and two Universes connected at their horizons by a wormhole. The negative square root solution inside the horizon represents a white hole. A white hole is a black hole running backwards in time. Just as black holes swallow things irretrievably, so also do white holes spit them out. White holes cannot exist, since they violate the second law of thermodynamics. http://casa.colorado.edu/~ajsh/schww.

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