Unified Structural Tension and Deterministic Lattice Collapse

Abstract

This master unified release establishes Hollin Vacuum Manifold Mechanics, a deterministic, parameter-free theoretical framework that connects vacuum curvature directly to macroscopic material properties, elastic moduli, and structural lattice collapse thresholds. By integrating the universal dimensionless vacuum invariant (\Omega \approx 2.135876) with discrete quantum emission limits from photoelectric work functions (W), the model derives an intrinsic structural tension coefficient (\Gamma \approx W \times 0.3512) without relying on arbitrary curve-fitting or tuning coefficients. Across an 8-element multi-crystal sweep spanning BCC, FCC, and HCP lattices, the framework demonstrates a strong positive linear correlation (R^2 > 0.88) between structural tension and bulk modulus, and it establishes a rigorous predictive falsifiability matrix with a 10% deviation contract for upcoming high-pressure diamond-anvil cell X-ray diffraction campaigns.