Classical simulation of a heralded Bell test: the role of phase selection in the coincidence gate

A classical RF/optical setup is described that simulates a heralded Bell test (Delft-type). The setup consists of two stages: (1) a heralding gate that selects events based on phase compatibility (Selector #1), and (2) a Malus-law detector that produces binary outcomes on the pre-selected events (Selector #2).The heralding efficiency (~10⁻⁹ in the Delft experiment) is argued to contain a contribution from phase selection at the beam splitter, not only from optical losses.The cascaded selection produces the quantum correlation E(a,b) = −cos(a−b) without non-locality.Concrete RF and classical-optical implementations are described with component-level detail.