Unified Vacuum Lattice Mechanics and Manifold Tensor Framework (Monograph Version 4.5)
Year: 2026
Type: article
Abstract: Version 4.5 of the Unified Vacuum Lattice Mechanics and Manifold Tensor Framework, authored by Mark Levine, establishes a rigorous mathematical architecture connecting microscopic Wigner-Seitz electron-density scaling and crystallographic invariants directly to macroscopic physical phenomena. By formulating a unified scalar phase-space field, K_{\text{metal}}(r_s, T, \dot{\varepsilon}), the monograph models high-pressure equations of state, alloy rigidity mechanics, magnetic volume collapse, shock Hugoniot dynamics, and macroscopic acoustic resonance without relying on ad-hoc curve fitting. Complete with step-by-step numerical walkthroughs and a falsification-ready audit ledger that transparently tracks empirical residuals, this work provides a fully reproducible foundation for independent peer review and cross-domain validation on open-access repositories.
Author: Levine, Mark
Language: English
Subfield: Geophysics
Field: Earth and Planetary Sciences
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7212372117
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