Roughly speaking, modern science is based on two premises:
1. The speed of light is constant, independent of the relative speed of the light source and the observer.
2. The entropy is a state function.
The importance of the first premise is correctly expressed by late Bryan Wallace:http://www.ekkehard-friebe.de/wallace.htm
"Shatter this postulate [of constancy of the speed of light], and modern physics becomes an elaborate farce!"
The importance of the second premise is even greater - just try to imagine modern science where all statements involving the concept of entropy are absurd. Yet the premise "Entropy is a state function" has no serious justification. The proof offered by Clausius is based on the assumption "A general cycle can be divided into small Carnot cycles" which is almost obviously wrong. Thermodynamicists know that and have adopted a specific tactic: they have repeated "Entropy is a state function", "Entropy is a state function" etc. for more than a century and the truth has become self-evident.