Event-Gated Export of Recursive Geometry into Nonlinear Dynamical Systems

This repository contains the simulation code, data, and analysis scripts supporting the study “Event-Gated Export of Recursive Geometry into Nonlinear Dynamical Systems.” The work investigates how recursive geometric dynamics generated by the Tri-Octa Structured Recursive Geometry (SRG) and Recursive Spectral Branching (RSB) framework can impose quantized spatial organization on independent nonlinear systems. A non-invasive three-body probe is introduced in which internal corridor geometry produces discrete directional signals that guide external trajectories without feedback. External bodies are propagated in a closed domain with optional Newtonian interactions, allowing controlled evaluation of robustness under nonlinear perturbation. Results demonstrate near-perfect corridor alignment in the absence of forcing and persistent event-conditioned reorganization under gravity, indicating that recursive geometry functions as a discrete structural broadcaster rather than a continuous control field. The repository includes: Core simulation scripts for Tri-Octa evolution and probe coupling Utilities for numerical integration and geometric diagnostics Post-processing tools for statistical analysis and figure generation Reproducible configuration files and raw trajectory data Supplementary documentation and parameter references This dataset and codebase are intended for researchers in nonlinear dynamics, complex systems, computational physics, and emergent geometry, and may be adapted to explore cross-domain coupling in fluid, network, and learning systems. All experiments are fully reproducible using the provided scripts. Keywords:recursive geometry, nonlinear dynamics, complex systems, emergent structure, spectral branching, phase synchronization, event-based control, computational physics