Unified Vacuum Lattice Mechanics and Manifold Tensor Framework

Authored by Mark Levine, this monograph establishes the Unified Vacuum Lattice Mechanics and Manifold Tensor Framework (Version 4.3), a parameter-minimized physical architecture designed to eliminate circular pseudopotentials and empirical curve-fitting constants in condensed-matter mechanics. The framework integrates pure-element equations of state, explicit governing equations, derived compliance matrix coupling, magnetic volume collapse, and high-strain-rate shock viscous coupling into a continuous three-dimensional scalar phase-space field. Stress-tested across the transition metal series against diamond-anvil cell volume-compression curves under strict pre-registration rules, the work delivers auditable error bounds, standardized experimental benchmarks, and explicit falsification targets.