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--- 2015:peter_lukan [2015/05/28 11:11]
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+++ 2015:peter_lukan [2015/05/28 11:14] (current)
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-====== The Relevance of Interpretation of Probability for Modern Physics ======
+====== On relations between the concepts of probability and time ======
 Peter Lukan
 \\ <fs 75%>//Faculty of Arts, University of Ljubljana, Slovenia//</fs>
 <blockquote>**Abstract**
-I will discuss the role of statistics and probability in the formation of some modern physical concepts. My aim is to show how the gradual progress of statistical and probabilistic thinking within physics, from the theory of errors on to the kinetic theory of gasses and atomism, enforced some existing concepts and introduced some new ones that had a major impact in the turn from classical to modern physics. This resulted also in the notion of statistical laws. I will point some problems in the interpretation of quantum mechanics that have roots already in classical statistical and probability theory. By doing this I want to argue for the need of interpretation of probability in order to make a step toward the reconciliation of the quantum and classical world.
+The relation between the concept of probability and time within physics has many faces. The so called arrow of time is usually defined with the help of entropy, the formulation of which includes probability in the microscopic picture. Probability is in this sense implicit to the concept of arrow of time. With the measure-theoretic development of the concept of probability its very definition became linked to time average behavior of particles, which turned the dependence between the two concepts the other way round. Later, quantum mechanics brought an explicit dependence between the two, the calculus of temporal development of probability distributions. I will analyze these different relations in depth from a philosophical standpoint.
 </blockquote>