The book presents a new proof asserting the equality of the complexity classes P and NP, but skepticism surrounds its validity due to the high cost of access and the lack of widespread understanding. Critics argue that extraordinary claims require extraordinary evidence, which they feel is not adequately provided in this case. The discussion highlights concerns about the potential reliance on additional computational models, such as oracles or quantum computing, in the proof's arguments. Comparisons are made to significant mathematical breakthroughs, suggesting that a truly groundbreaking proof would generate considerable excitement and validation. Overall, the reception of the proof is cautious, with many awaiting further developments in the field.