I understand that there are singularity and non-singularity theories of the big bang. Also that there are those that posit nothing (no time, no space) before the big bang and others that posit something. What I'm thinking is that if the big bang event was singular (or nearly singular) then it would have destroyed (nor nearly destroyed) any remnants, any evidence of the pre-big-bang universe. In other words, the entropy of the universe was (nearly) zero at time zero, and not even a single bit of information (something or nothing) could have survived the event. If so, then all pre-big bang theories would by definition be not testable, and therefore a scientific waste of time. Here are my questions. The second law says that the entropy of the universe must increase, does that imply that the entropy of the universe was zero at a singular time zero? Do the pre-big-bang theories allow calculation of the upper limit of entropy in the information theory sense, at the moment of maximum crunch (singular or not)? I guess my ultimate question is, "Is it likely that pre-big-bang theories will ever be testable?"