Complexity vs Energy: Theory of Computation and Theoretical Physics

Yuri I. Manin

doi:10.1088/1742-6596/532/1/012018

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arXiv · 1302.6695

Complexity vs Energy: Theory of Computation and Theoretical Physics

Yuri I. Manin

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Abstract

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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BibTeX RIS

Yuri I. Manin. 2013-02-27. Complexity vs Energy: Theory of Computation and Theoretical Physics. https://doi.org/10.1088/1742-6596/532/1/012018

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