How do you prove your controversial theory about a feat that seemsalmost mythic in quality, despite the fact that every expert in the field in question says it's impossible? By doing it yourself! All you have to do is recreate the situation and prove that it really was possible.
One common variant of this involves proving that a voyage in an ancient story really happened. This tends to involve building a replica of the vehicle in question as closely as possible (although modern creature comforts often tend to make their way into the finished work), finding a crew as loopy as you are, and riding your way to vindication. Provided, of course, you live to tell the tale.
Adventurer Archaeologist characters may be prone to trying out this method.