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3 votes
1 answer
524 views

Has the von Neumann entropy ever been used in classical mechanics?

After going through an application of the von Neumann entropy(from quantum information theory) to certain problems in computational neuroscience [2], it occurred to me that this entropy might have ...
Aidan Rocke's user avatar
  • 3,871
17 votes
6 answers
6k views

Revisiting the unreasonable effectiveness of mathematics

Question: On balance, with theoretical advances in algorithmic information theory and Quantum Computation it appears that the remarkable effectiveness of mathematics in the natural sciences is quite ...
9 votes
1 answer
966 views

A necessary condition for differential entropy to be finite

An ensemble corresponding to a probability distribution usually has finite free energy so it is not a great loss of generality to assume that the ensemble also has finite energy in following ...
Henry.L's user avatar
  • 8,071
5 votes
1 answer
862 views

Turing machines and Ising model

I have currently started a new research line aiming to prove a mapping between a 2-symbol Turing machine and the one dimensional Ising model. The connection is seen by recognizing that a set of ...
Jon's user avatar
  • 1,687