There is evidence that the constants "c" and "e" may not have always been what they are today.
I've seen the suggestion about 'c' and IIRC it has already been effectively dismantled on crevo threads.
I have not yet heard that 'e' (inverse of natural log e?) has ever changed.
Also it is believed that the weak nuclear force didn't "pop-up" until after the Big Bang
Nothing popped up until after the big bang--the energy regime early on was such that you didn't have "condensation" into what are now protons, neutrons, etc for some time, so there was nothing for the nuclear force "to work on"...
I see "reasonance", but what does that have to do with monkeys typing Shakespeare (which is a shallow hypothesis given the probabilities involved)?
Someone posted, earlier in the thread, the famous "10,000 monkeys" as an article from weekly world news in which the Monkeys came up with Romeo and Juliet but spelled Romeo as "Romero" once, so it was back to the drawing board.