An Acoustic Elastic Lattice Analogy for Vacuum-Induced Inertia and Relativistic Scaling Relations

Version 2.0 represents a complete epistemological realignment and refinement of the framework. Moving away from an absolute fundamental mechanics derivation, this release establishes the model strictly as a disciplined, top-down conceptual analogy inspired by the field of Analog Gravity. The framework models space-time as an active, continuous elastic lattice saturated by intersecting high-frequency standing waves, where coordinate points are mapped by discrete phase-alignment nodes. This version introduces an explicit Model Ansatz section to clearly parameterize its foundational assumptions, including a velocity-dependent Doppler ansatz and a $1/r$ acoustic metric potential. By tracking the geometric behavior of these active nodes, Version 2.0 successfully illustrates how Lorentz-like length scaling and background-mediated inertia (a classical, mechanical analogy for the Higgs Vacuum Expectation Value and background coupling) can be qualitatively visualized without the requirement of a bottom-up dynamic field theory or standard model gauge equations.