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The Complexity of Proving Chaoticity and the Church-Turing Thesis

Proving the chaoticity of some dynamical systems is equivalent to solving the hardest problems in mathematics. Conversely, one argues that it is not unconceivable that classical physical systems may "compute the hard or even the incomputable" by measuring observables which correspond to computationally hard or even incomputable problems.

preprint2010arXivOpen access
Cristian S. CaludeElena CaludeKarl Svozil
Computational Complexitynlin.CDphysics.gen-ph
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Cristian S. CaludeElena CaludeKarl Svozil

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