The Quantum Emergence Theorem: Self-Grounding Across the Quantum-Classical Boundary

Description/Abstract: The Decay Bounce (Math Paper 1) proved that the Universal Cascade Law is self-grounding within classical dynamics — the conditions C₁, C₂, C₃ are organized by the Feigenbaum constants through the reflection geometry of the stable manifold. The Universality Hierarchy (Math Paper 2) established the four-layer structure from axiom through observation. This paper extends both results by proving that the self-grounding property persists across the quantum-classical boundary, completing a five-layer hierarchy. Nine theorems build in strict logical sequence: the null result (linear systems exhibit no cascade, confirming the Universal Cascade Law diagnostic with C₂ absent), the classical cascade…