On Measures and Measurements: a Fibre Bundle approach to Contextuality
Probability
2021-03-10 v1 Algebraic Topology
Quantum Physics
Abstract
Contextuality is the failure of "local" probabilistic models to become global ones. In this paper we introduce the notions of \emph{measurable fibre bundles}, \emph{probability fibre bundles}, and \emph{sample fibre bundle} which capture and make precise the former statement. The central notions of contextuality are discussed under this formalism, examples worked out, and some new aspects pointed out.
Keywords
Cite
@article{arxiv.1903.08819,
title = {On Measures and Measurements: a Fibre Bundle approach to Contextuality},
author = {Marcelo Terra Cunha},
journal= {arXiv preprint arXiv:1903.08819},
year = {2021}
}
Comments
14 pages; no figures; Purdue-Winer Memorial Lectures 2018; submitted to Phil. Trans. Roy. Soc. A. Comments are very welcome