I know there are a lot of assumptions being made here but assuming that the big bang is scientific fact and that a big crunch will eventually occur I have a question about the application of the 2nd law of thermodynamics. The entropy of the universe at the time of a big crunch must be higher than the entropy at the time of the big bang preceeding the big crunch to satisfy the law, correct? But the sum of the energy (mass, temperature, etc) of the singularity at the big crunch must be the same as prior to the big bang, othewise energy is being created/destroyed. How can the entropy increase if the singularity at the big crunch is essentially the same as prior to the big bang? Does the law not hold in this situation? Or am I missing something? Thanks.