2025/06/27 by Gabor Etesi, Etesi, Gabor · 1 voice
Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.2507.08815
published as Found. Phys. 56, 10 (2026) · LaTeX, 14 pages, 1 figure
arxiv published 2025/06/27 · arxiv created 2026/08/01 · arxiv updated 2026/08/01
In this short note we argue that, even if, as sometimes remarked, a Lorentzian manifold does not model correctly the structure of the spatio-temporal continuum as it is, yet a Lorentzian manifold should describe its macroscopic structure as we experience it. More precisely, theoretically motivated by von Weizsäcker's chronological relative frequency interpretation of probability, and taking the Diaconis--Mosteller principle (also called the law of truly large numbers) as an empirical evidence in the macroscopic world, we argue that large collections of physical events appear in a composition of two fundamentally different patterns, termed as progression and sample here, suggesting, in this framework, to use a Lorentzian-type metric on a manifold to describe matter-filled macroscopic regions of the spatio-temporal continuum.