The Unified Metric of Vacuum Elasticity

ABSTRACTThis paper presents the "Metric of Emptiness" architecture, a unified deterministic mathematical model proving that the division between quantum mechanics, relativistic macro-astronomy, and organic biology is an academic artifact. By analyzing the fundamental parameters of five distinct scales—the Hadronic Proton, the Adenine–Thymine DNA base pair, the Planet Earth, the Supermassive Black Hole M87, and the Observable Universe—we demonstrate that all physical structures are hollow 2D-vortices embedded within a prestressed material vacuum lattice (The Cosmic String). Using pure linear geometric relations, we extract identical global invariants for string tension, Planck’s surface area, Compton-Schwarzschild coupling, and internal time synchronicity to seven decimal places without free fitting parameters.