Experimental verifiability and topology
@inproceedings{Carcassi2021ExperimentalVA,
title={Experimental verifiability and topology},
author={Gabriele Carcassi and Christine A. Aidala},
year={2021}
}We briefly show how the use of topological spaces and σ-algebras in physics can be rederived and understood as the fundamental requirement of experimental verifiability. We will see that a set of experimentally distinguishable objects will necessarily be endowed with a topology that is Kolmogorov (i.e. T0) and second countable, which both puts constraints on well-formed scientific theories and allows us to give concrete physical meaning to the mathematical constructs. These insights can be…
