Probability and Typicality in Deterministic Physics
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In this paper we analyze the relation between the notion of typicality and the notion of probability and the related question of how the choice of measure in deterministic theories in physics may be justified. Recently it has been argued that although the notion of typicality is not a probabilistic notion, it plays a crucial role in underwriting probabilistic statements in classical statistical mechanics and in Bohm’s theory. We argue that even in theories with deterministic dynamics, like classical statistical mechanics and Bohm’s theory, the notion of probability can be understood as fundamentally objective, and that it is the notion of probability rather than typicality that may (sometimes) have an explanatory value.
KeywordsLebesgue Measure Statistical Mechanic Ergodic Theorem Thermodynamic System Bohmian Mechanic
This research is supported by the Israel Academy of Science, Grant Number 713/10 and by the German-Israel Foundation, Grant Number 1054/09.
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