The Universal Tension-Driven Lattice (UTDL): Unification of Gravity, Matter, and Quantum Topology via Dynamic Harmonic Resonance

(Note: This version is currently outdated. The full SM Lagrangian is solved for in UTDL SM Parameter-Free Derivation and this version will be updated in the future for these modifications.) The unification of General Relativity and Quantum Mechanics remains the defining challenge of modern physics. This paper proposes a resolution via the Universal Tension-Driven Lattice (UTDL), a constructivist framework that models spacetime as a discrete, high-tension, non-linear elastic solid operating at the Planck scale.We identify the vacuum not as a static crystal, but as a Geometrically Frustrated Manifold exhibiting Icosahedral Short-Range Order (ISRO). By postulating a single constitutive force law F = −k0x − αx3,…