Probabilities as Measures of Information

Abstract

We analyze the notion that physical theories are quantitative and testable by observations in experiments. This leads us to propose a new, Bayesian, interpretation of probabilities in physics that unifies their current use in classical physical theories, experimental physics and quantum mechanics. Probabilities are the result of quantifying the domain of possibilities that results when we interpret observations within the framework of a physical theory. They could also be said to be measures of information used to make predictions based upon a physical theory.