Structural Emergence of Matter from Recursive Collapse Fields: A Stick Theory Model of Particle Evolution

This paper proposes a structural field model for particle emergence based on collapse intensity, inertial memory, and field tension dynamics. Stick Theory models the hierarchy of particles as a natural consequence of recursive collapse field stabilization, rather than vibrational modes or compactified dimensions. High collapse intensity ($\Sigma$) systems yield bosons; intermediate and low $\Sigma$ regimes sequentially stabilize into quarks, leptons, and atomic structures. The framework offers specific, testable predictions regarding particle emergence sequences, decay behaviors, mass scaling, and quark confinement. Stick Theory provides a structurally rooted, predictive alternative to traditional String Theory assumptions and reframes matter as stabilized collapse memory fields.