Spin operator, Bell nonlocality and Tsirelson bound in quantum-gravity induced minimal-length quantum mechanics

Abstract Different approaches to quantum gravity converge in predicting the existence of a minimal scale length. This raises fundamental question as whether and how an intrinsic limit spatial resolution can affect mechanical observables associated internal degrees freedom. We answer this general terms by showing that spin operator acquires momentum-dependent contribution mechanics equipped with Among other consequences, modification induces form nonlocality stronger than one arising ordinary mechanics. In particular, we show violations Bell inequality exceed maximum value allowed mechanics, so-called Tsirelson bound, positive-valued function momentum operator. introduce possible experimental settings based on neutron interferometry contextuality, provide preliminary estimates values physical parameters needed for actual laboratory implementations.