Energy Continuum Theory: The MQ Structural Conservation Equation — A Unified Geometric Framework — Part 1: Strong Force

This paper introduces the Energy Continuum Theory (ECT), a non-perturbative theoretical framework that aims to unify fundamental interactions through a single geometric constraint known as the MQ Structural Conservation Equation (1 ≡ α · Zₘanifold). In this first installment, the research focuses on the Strong Interaction. Unlike the Standard Model, which relies on empirical parameters, ECT treats subatomic particles as localized topological solitons (standing waves) within a continuous energy field. Key Findings: Geometric Origin of Mass: Derives the Strong Force carrier mass (m = 4π) strictly from the impedance ratio between the 3-manifold volume (4π³) and the 2-manifold surface (π²). Yukawa Potential: Recovers the Yukawa potential form V (r) ~ e^ (-4πr) /r purely from geometric principles. Proton Mass Prediction: Predicts the proton mass as 938. 05 MeV with an accuracy of 0. 02% relative to experimental data. This is achieved using a novel topological winding model (Mp/Mπ ≈ 2π + 60α) constrained by Icosahedral symmetry (ω = 30). Reinterpretation of Quarks: Proposes that the partons observed in Deep Inelastic Scattering are topological standing wave nodes rather than discrete point particles. This work suggests that the mass spectrum of hadrons and the nature of confinement are inevitable consequences of the topological conservation of the spacetime manifold.