Wave-Based Structural Paths: Integrating Hybrid Decay in Air, Water, and Space

This foundational manuscript introduces Stick Theory, a structural collapse framework that models dimension, motion, and identity as recursive outcomes of decay rather than fixed properties of space or particles. Across 26 sections, it formalizes collapse intensity, recursive memory fields, and hybrid media traversal to explain how structure persists, propagates, and transforms across air, water, and vacuum. Unlike traditional physics models, Stick Theory does not begin with coordinates or object primitives. It introduces a symbolic system of resistance (μ), inertial memory (ν), and tension (τ) to describe collapse behavior. These quantities combine into a new scalar, Σ = μ · ν / τ, which governs structural persistence across recursive environments. While this work focuses on establishing the groundwork for recursive collapse geometry, several directions are currently in development: • A Stick-Theoretic Lagrangian system that redefines kinetic and potential energy in terms of structural memory and decay resistance, offering a novel method to compute action integrals through recursion rather than spacetime. • A Hoberman sphere–inspired model of gravitational curvature, where nested recursive shells reflect planetary spin, structural torsion, and scalable dimensional collapse behavior. • A formal bridge to known physics, including approximate recovery of Newtonian gravity, long-tail decay, and Lagrangian behavior through collapse intensity dynamics. Stick Theory is not offered as a “Theory of Everything.” Instead, it is a recursive scaffold for understanding how structure survives collapse—not by resisting decay, but by embedding memory within it. It is a theory not of domination, but of attachment—a system that models what remains when form remembers.