Geometry-Attached Time (GA-Time) — A Computational Demonstration of Hazard-Induced Admissibility, Geometry Response, and Deterministic Branching

This work presents the first executable demonstration of GA-time, admissibility collapse, and deterministic branching within the Hazard Manifold framework. Using a minimal 2-D PDE model, the study shows how hazards deform geometry, slow or stall GA-time, trigger admissibility collapse, and produce multiple deterministic futures through a simple branching protocol. Seven figures illustrate the full pipeline from hazard to geometry, admissibility, GA-time, collapse, and branching. A complete, fully reproducible Python implementation is included, with the accompanying Jupyter notebook available on GitHub, making this a self-contained computational entry point to the HMEE and the broader Hazard Manifold research program.