Usable Energy After Big Crunch

[LucidDreamer]

Let's imagine that there will be a big crunch at some point in the future and the universe will collapse. Then let's assume that another big bang will occur and the process will repeat itself many times. Will the amount of usable energy (non-heat) be conserved or will it be reduced after each cycle?

[Xyph]

Assuming the universe remains a closed system at the Crunch-Bang transition, I'd think the amount of usable energy would be conserved...

 

On the other hand, if some sort of extrauniversal physics come into play at that point, energy might leak out (or even seep in, I suppose). I'm not sure how likely that is, though.