Thursday, February 28, 2013

1302.6695 (Yuri I. Manin)

Complexity vs Energy: Theory of Computation and Theoretical Physics    [PDF]

Yuri I. Manin
This paper is a survey dedicated to the analogy between the notions of {\it complexity} in theoretical computer science and {\it energy} in physics. This analogy is not metaphorical: I describe three precise mathematical contexts, suggested recently, in which mathematics related to (un)computability is inspired by and to a degree reproduces formalisms of statistical physics and quantum field theory.
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