> If it really was continuous so that physical quantities were real numbers as defined in mathematics, then it is in contradiction to maximal information densit

> If it really was continuous so that physical quantities were real numbers as defined in mathematics, then it is in contradiction to maximal information density. Because almost all real numbers contain infinite amount of information. Yeah. As they said, it’s computer science leaking out. It can be misleading to reason about entropy, which is the relevant physical concept, as if it were strictly equivalent to information as computer scientists understand it. Entropy works perfectly fine with continuous densities of states and real numbers.