Probability Theory as a Physical Theory Gives Insight in Big Topics. Questions to Mathematicians. (arXiv:1811.10992v2 [physics.pop-ph] UPDATED)
There is something puzzling about probability theory: does it describe
individual events (or systems), or rather ensembles of similar systems? At any
rate, probabilities are always measured on ensembles. In this sense probability
theory, as a physical theory, is unique: other physical theories describe
individual measurements and individual systems. Here it is argued that
probability theory can be seen as a general theory of causality (or
determinism), so dealing with the underlying causal connections between
systems. This simple be it radical interpretation suggests new avenues of
research for fundamental issues in physics and mathematics. For example, it
suggests 1) a generalization of the Central Limit Theorem; and 2) a different
approach to address the unification of quantum mechanics and relativity theory.
Throughout the article precise questions to mathematicians are formulated to
advance this research.