There is a recent surge of interest in proposing quantum-like models in cognition and social sciences at large. In the current paper we attempt to contribute to that growing body of literature. We distinguish our framework from other notable works like Qbism and CBD (contextuality by default) by grounding it in the larger Bohr–Kantian philosophical and conceptual paradigm. Since our modelling techniques are motivated by the classical optical model (COM), there is a simpler geometric interpretation, with tools like Poincaré sphere representation of cognitive states and a novel Pancharatnam–Berry phase, which helps visualizing deviations from classical measure theoretic predictions of decision making.