On Measures and Measurements: a Fibre Bundle approach to Contextuality
Abstract
Contextuality is the failure of "local" probabilistic models to become global ones. In this paper we introduce the notions of measurable fibre bundles, probability fibre bundles, and 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.
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