Thermodynamic irreversibility According to chemical engineer
Robert Ulanowicz in his 1986 book
Growth and Development, Laplace's demon met its end with early 19th century developments of the concepts of
irreversibility,
entropy, and the
second law of thermodynamics. In other words, Laplace's demon was based on the premise of
reversibility and classical mechanics; however, Ulanowicz points out that many thermodynamic processes are irreversible, so that if thermodynamic quantities are taken to be purely physical then no such demon is possible as one could not reconstruct past positions and momenta from the current state.
Maximum entropy thermodynamics takes a very different view, considering thermodynamic variables to have a statistical basis which is separate from the deterministic microscopic physics. However, this theory has met criticism regarding its ability to make predictions about physics; a number of physicists and mathematicians, including Yvan Velenik of the Department of Mathematics for the
University of Geneva, have pointed out that maximum entropy thermodynamics essentially describes our knowledge about a system but does not describe the system itself.
Quantum mechanical irreversibility Due to its canonical assumption of
determinism, Laplace's demon is incompatible with the
Copenhagen interpretation, which stipulates
indeterminacy. The interpretation of quantum mechanics is still very much open for debate and there are many who take opposing views (such as the
many worlds interpretation and the
de Broglie–Bohm interpretation).
Chaos theory Chaos theory has been pointed out as contradicting to Laplace's demon: it describes how a deterministic system can nonetheless exhibit behavior that is impossible to predict: as in the
butterfly effect, minor variations between the starting conditions of two systems can result in major differences. While this explains unpredictability in practical cases, applying it to Laplace's case is questionable: under the strict demon hypothesis all details are known—to infinite precision—and therefore variations in starting conditions are non-existent.
Cantor diagonalization In 2008,
David Wolpert used
Cantor diagonalization to challenge the idea of Laplace's demon. He did this by assuming that the demon is a computational device and showed that no two such devices can completely predict each other. Wolpert's paper was cited in 2014 in a paper of Josef Rukavicka, where a significantly simpler argument is presented that disproves Laplace's demon using Turing machines, under the assumption of free will. ==Additional context==