Probability Theory as a Physical Theory. Questions to Mathematicians

Por • 29 nov, 2018 • Sección: Filosofía

Louis Vervoort

Abstract: There is something puzzling about probability theory: does it describe individual events (or systems), or rather ensembles of sufficiently 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 interpretation suggests new avenues of research for fundamental problems in physics and mathematics. For example, it suggests 1) a generalization of the Central Limit Theorem, one of the cornerstones of probability theory; and 2) a strategy to address one of the most pressing problems of physics, namely the unification of quantum mechanics and relativity. Throughout the article precise questions to mathematicians are formulated to advance this research.

arXiv:1811.10992v1 [physics.pop-ph]

Popular Physics (physics.pop-ph); History and Overview (math.HO)

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