OG-II-07 — W — Operational Quantum Models on an Aperiodic Carrier - Unitary dynamics, measurement limits, interference and spatially localized Bell experiments

We construct an operational quantum model using the free overlap Hamiltonian on a complete nonsingular aperiodic D₆/H₃ carrier and a specified Fibonacci clock. From the quantitative resolvent estimate we derive O(h) continuum error for actual H⁴ cell-average preparations without a fixed spectral cutoff; variable-step midpoint has O(h+δmax²) error. Compatible mixed states and finite measurement protocols converge in trace norm and total variation. Postselected states converge when the limiting success probability is positive, with an explicit denominator bound. The carrier supports an exact two-aperture interference identity and a controlled continuum, paraxial and far-field construction of two-slit fringes. Uncertainty is stated through quadratic forms for finite-variance states, and marker complementarity includes mixed, unequal-prior and nonideal readouts on consistently weighted ensembles. An explicit number-conserving quartic interaction, calibrated with pulse strength O(h⁻¹), prepares a mode singlet during one actual Fibonacci lapse with O(h) state error for fixed smooth source modes while free dynamics remains active. Transport from a common source and quantitative truncation produce complete binary readouts in disjoint laboratories at finite spacing. A preparation family with momentum k=h⁻¹ᐟ⁵ satisfies |Sh+2√2|≤Ch¹ᐟ⁵, retaining all events. The specified local algebras obey the Tsirelson bound and operational no-signalling exactly. Operator-norm calibration bounds also control imperfect readouts and combine with state and finite-sample errors. These are realization and approximation theorems under stated Hilbert-space, probability, composition, preparation and instrument assumptions. Established quantum phenomena are implemented with explicit regulator errors; quantum probability and apparatus dynamics are not inferred from static geometry alone.