I don't know what lie you're talking about. I am interested hearing the evolution side of the first part of the post, the 100,000 ape problem.
Walter Remine puts a simplified version of the idea thusly:
Imagine a population of 100,000 apes or proto-humans ten million years ago which are all genetically alike other than for two with a beneficial mutation. Imagine also that this population has the human or proto-human generation cycle time of roughly 20 years.
Imagine that the beneficial mutation in question is so good, that all 99,998 other die out immediately (from jealousy), and that the pair with the beneficial mutation has 100,000 kids and thus replenishes the herd.