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The current theory suggest that it occured 13.7 billion years ago.
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No exact date. Albert Einstein suggested that space and time are not separate, but continual.
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Theory becomes a jumping off point for scientists in the 1970's.
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Expands on ideas form Russian Physistist, Aleksander Aleksandrovic (AKA Alexander Friedmann) to form more current, but not 100% the same theory.
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No date. The Big Bang was originally thought to be an explostion, but is now thought to be an expansion. This means that everything is moving outwards.
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No exact date. James Peebles shows that the hot Big Bang predicts the correct helium abundance
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Robert Dicke finds the Big Bang flatness problem
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Charles Misner finds the Big Bang horizon problem.
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In the early 70s scientists Steven Hawking, George Ellis and Roger Penros form the idea off of Einstein's Theory of Relativity
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NASA's WMAP got an image of cosmic microwave background radiation which lead to the new estimated year the universe was created. It was 13.7 billion years old, with a one percent of error.