What Happens After the Big Crunch?

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after the big crunch occurs would everything be the exact same until another big crunch
 
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Academic is completely correct, even if the initial conditions were identical there is no reason the outcome should be.

But it's a moot point, since current data quite definitively shows that there will be no big crunch for our universe.
 


the possibilities of big crunch is impossible to current under standing. b/c the universe it accelerating
 


That doesn't mean its impossible, just very unlikely. Again, you cannot predict what will happen from initial (or current) conditions alone. :) It goes both ways.
 


We could have big crunch in the past.
I like the idea that universe is symmetric, Universe wavefunction W is even: W(-t) = W(t)
 


Unless the universe exists as a single structure with only one "bang" and "crunch", see the points about initial conditions.

Nabeshin: Unlikely, but not impossible, and until there is a satisfactory explanation for the cosmological constant or dark energy, it is merely unlikely, not definitive.