I have heard speculation that humans would be living in a society like Star Trek with advanced medicines and science if not for the burning of Alexandria. The Middle Ages would have been very different and much of the Renaissance would be unnecessary because it was known information. There is clear evidence that the ancient world understood engineering and physics so other advanced science is not out of the question to me.

Because so much knowledge was lost it's possible you don't know what lost. Are they are any other good sources for human knowledge at that time? It seems to me like it's something that can't be studied due to the nature of the event. People only wrote about the fire after not forgotten knowledge.