The Sohail-String Unification Model (SSUM): A Deterministic Derivation of the Proton-Electron Mass Ratio and the 0.0041 Vacuum Viscosity Constant

This paper introduces the Sohail-String Unification Model (SSUM), a first-principles mechanical framework that replaces abstract geometric space-time with a physical 11-dimensional string matrix. We demonstrate that fundamental constants are derived from the topological properties of this medium. Specifically, we derive the proton-to-electron mass ratio of 1836.15267 by modeling the proton as a knot of 1,837 units with 844,561 string connections. We establish a universal vacuum viscosity of ηs = 0.0041 Pa·s, providing a deterministic solution to the Hubble Tension, GPS clock drift, and galactic rotation anomalies.