Critical Remarks on "Joint Definability, Context–Instantiated Geometry, and the Inapplicability of Fine's Theorem"

We examine the logical and mathematical structure of Prof Bryan Sanctuary’s recent paper (Quantum Rep. 2026, 8, 96), which argues that spin observables in the Bivector Standard Model (BiSM) are not jointly definable on a single Kolmogorov probability space, so that the CHSH quadruple cannot be formed and Bell’s and Fine’s theorems do not apply. We uncover a whole catalogue of serious logical errors and conclude that his main conclusion, that he has resolved the EPR paradox and made Bell's theorem obsolete, is false.