Offer someone a sum that sounds large, but which is far less money than it would cost to do the comprehensive research work.
He is saying: "We have spent hundreds of millions of dollars building our castle in the air - we'll pay you ten thousand if you can dismantle it with one blow."
He is the only judge.
What he is saying is: “We spent hundreds of millions building these fraudulent theories and I will pay you $10,000 if I, and I alone, say you have proven them wrong.”