Numerical Investigation of the Extended Zero Theory (EZT) - A Test of the Pi-Core Hypothesis

The singularities predicted by General Relativity represent a fundamental challenge to modern physics. The Extended Zero Theory (EZT) proposes a solution by postulating a finite, non-zero vacuum energy, 0π = 1/π², which forms a stable "Pi-Core" at the center of black holes. A key prediction of EZT is the "Pi-Echo," a faint, delayed gravitational wave signal. This report presents a novel 3D molecular dynamics (MD) model to investigate the interaction between a gravitational wave and the Pi-Core. The Pi-Core is modeled as a cluster of strongly-bound "Pi-particles," while the wave is modeled as a collection of weaker "wave-particles." Through systematic numerical experiments, we demonstrate a clear, quantitative relationship between the Pi-Core's stiffness and its resonant frequency, providing the first numerical evidence for its quantum harmonic oscillator (QCM) properties. The main result is the derivation of a "calibration curve" that maps the Pi-Core's physical properties to its resonant frequency. This curve provides a powerful, falsifiable tool for testing the EZT against real-world gravitational wave data from detectors like LIGO/Virgo/KAGRA, potentially opening a new window into quantum gravity. Software https://y0z07a35tnj1-d.space.z.ai