The Birth of Structure: Feigenbaum Architecture in the Quantum-to-Classical Transition

Description/Abstract: Every physics student learns two separate stories. In quantum mechanics, systems exist in superposition until measured, then collapse into definite states through decoherence. In nonlinear dynamics, systems undergo structured transitions — period-doubling cascades governed by Feigenbaum's universal constants. These two stories have never been connected. This paper connects them. Using the Universal Cascade Law diagnostic — which predicts that any bounded system with nonlinear coupling necessarily produces fractal geometry organized by the Feigenbaum constants — we examine quantum decoherence across three layers: the linear Lindblad master equation (no cascade, as predicted by the absence…