DESCRIPTION:This work completes wave–particle duality by supplying the mechanism standard quantum mechanics lacks. Quantum systems propagate as waves but are detected as particles, and the theory does not explain how or why this behavioural switch occurs. Using the Carlo Framework, this paper introduces the contradiction engine, the trajectory update rule, and the Reset Operator > as the missing structural components that mechanise the transition from wave evolution to particle detection. The completed model treats duality as a contradiction loop between wave-like propagation and particle-like measurement constraints. When this loop exceeds tolerance, the Carlo reset mechanism produces a discrete particle outcome. This paper formalises the duality contradiction, defines the collapse threshold, and provides a unified mechanism linking wave behaviour to particle detection. KEYWORDS:wave–particle duality, quantum behaviour, quantum measurement, wave evolution, particle detection, double-slit experiment, interference, collapse dynamics, contradiction engine, Carlo Framework, Reset Operator, trajectory update rule, quantum foundations, quantum paradoxes, dual behaviour, measurement theory, quantum transitions, contradiction loops, system evolution, classical emergence, threshold dynamics, structural completion, mechanism-level explanation, quantum propagation, detection events, quantum modelling, foundational physics, theoretical physics, dynamic systems, system reorganisation, emergent classicality, contradiction-driven change, collapse operator, duality modelling, conceptual engineering, physics foundations, quantum behaviour switching, system reset events, structural dynamics, wave propagation, particle localisation, outcome selection, measurement interaction, quantum-classical boundary, dynamic resolution, system transformation, interference suppression, detection thresholds, wave collapse, quantum contextuality, behaviour mode switching, structural dynamics of measurement
Matthew Carlo (Mon,) studied this question.