Was the Bing Bang a Random event?

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If there's a "big crunch" in the future, would you consider that a random event?

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no

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If there's a "big crunch" in the future, would you consider that a random event?

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no

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Then you probably shouldn't consider the BB a random event, either. The BB and the BC are simply "singular" events that bound the state of the universe. The only substantial difference would presumably be that the BB is associated with low entropy, and the BC a high entropy (which gives rise to our perception of a time flow from the past to the future).