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

The current Standard Model relies on stochastic observations to define fundamental constants. This paper introduces the Sohail-String Unification Model (SSUM), which identifies the universe as an 11-Dimensional mechanical lattice. By defining the Sohail Invariant (ηs) as the non-reducible viscosity of this manifold, we provide first-principle derivations for Planck’s Constant (h), the Fine-Structure Constant (α), and the Gravitational Constant (G). Furthermore, we identify the Sohail Displacement Limit (6.73 × 10-78 m), breaking the ”Planck Wall” and providing a deterministic foundation for ”Minute Information.