🔑 Conceptual Exploitation for RST: Dual Surface Substrate Bubble
🔑 Conceptual Exploitation for RST: Dual Surface Substrate Bubble 1. Duality of Surfaces Homological Mirror Symmetry (HMS) demonstrates how two seemingly different mathematical surfaces can be equivalent. Reactive Substrate Theory (RST) draws on this idea to describe the dual surface substrate bubble : Interior surface: Continuous substrate field S, carrying wave dynamics and pressure gradients. Exterior surface: Emergent particle and force excitations, the discrete phenomena we measure. Just as HMS shows equivalence between algebraic and symplectic descriptions, RST argues that the interior and exterior surfaces of the substrate bubble are dual aspects of the same physical reality. 2. Category Equivalence → Physical Equivalence HMS categories: Fukaya Category (symplectic side) → continuous, geometric structures. Derived Category of Sheaves (algebraic side) → discrete, equation‑based structures. RST bubble: Continuous substrate field S → ...