Far East Journal of Dynamical Systems
Volume 11, Issue 1, Pages 33 - 48
(February 2009)
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ERGODIC PROBLEM IN QUANTITATIVE LANGUAGE
Shiro Ishikawa (Japan)
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Abstract: Recently we propose measurement theory, which is regarded as a kind of quantitative language. Since this quantitative language is convenient and powerful to describe phenomena appearing in our everyday life, we believe that it is the language for the description of ordinary science. The purpose of this paper is to show that this language is also applicable to ergodic problem, i.e., to formulate equilibrium statistical mechanics. Our formulation will urge us to reconsider the famous problem: “What is science?” in the philosophy of science. |
Keywords and phrases: measurement theory, quantitative language, equilibrium statistical mechanics, ergodic hypothesis, probability. |
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