Numerical Validation of the Elastic Spacetime Lattice Resonance Model (ESLRM) from Atoms to Black Holes

Abstract: This document provides a comprehensive numerical validation of the Elastic Spacetime Lattice Resonance Model (ESLRM). While traditional physics treats mass as an inherent property and gravity as pure geometry, the ESLRM derives mass from the structural resonance and internal tension of a quantized spacetime lattice. Using a single fundamental mass formula and a constant lattice reference ($k_{ref} = 5430$ kg/m³), this study demonstrates consistent results across 68 orders of magnitude. The validation includes: Subatomic scale: Precise mass calculations for protons, neutrons, and various atomic nuclei (H, C, O, Fe, Pb). Planetary and Stellar scale: Validation for rocky planets, gas giants, and white dwarfs (Sirius B). Extreme Gravitational objects: High-accuracy results for neutron stars (PSR J0437-4715) and supermassive black holes (M87*, TON 618). The results show a typical correlation factor above 0.99, suggesting that the model is not merely a mathematical fit, but a reflection of the underlying mechanical properties of the spacetime fabric. This work establishes a theoretical and numerical bridge between quantum mechanics and macroscopic gravitation through lattice-mechanical principles.