Structural Tension & Net‑Displacement Mechanics

This paper establishes a non-circular, deterministic framework for solid-state mechanics that replaces arbitrary scaling parameters and empirical curve-fitting with a direct link between quantum-scale energy thresholds and macroscopic crystal lattice deformation. By deriving the structural tension coefficient (Γ) from independent photoelectric work functions and coupling it with measured spatial contraction (Δ L = a_0 - d), the model successfully maps mechanical yield points across diverse crystal structures using real-world X-ray diffraction data. This approach provides a rigorous, reproducible foundation for predicting high-pressure phase transitions entirely from verifiable handbook constants and geometric invariants.