# On relations between the concepts of probability and time

Peter Lukan
Faculty of Arts, University of Ljubljana, Slovenia

Abstract 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.