TULLY World 41: Documented Experimental Series

C. J. Tully

13 October 2026

TULLY World 41: Documented Experimental Series

Project ID: TULLY-41
Status: ARCHIVED, HASHED, AND ACCESS-CONTROLLED — VALIDATION IN PROGRESS
Geometric basis: 41-dimensional state space with five-fold symmetry
Compilation date: 13 October 2026

C. J. Tully
Independent Researcher and Engineer
ORCID: 0009-0007-5661-7332
Tamworth, Australia
chloetully5@gmail.com

Abstract

TULLY World 41 is a computational study of synchronization and state sequestration in a 41-dimensional multi-agent system with a five-fold geometric basis. The model combines stochastic initialization, central-attractor coupling, a distance-dependent sequestration gate, and a Ly-Algebra-inspired compaction layer.

The documented experiments examine coherence, compaction strength, trap thresholds, baseline noise, integration step size, ensemble stability, and long-horizon persistence. Under the reported coherent-regime parameters the implementation reaches high measured coherence and complete sequestration across the tested runs. Under the reported decoherence-regime parameters sequestration does not occur.

These results establish empirical behaviour for the supplied implementation and parameter regimes. They do not, without further analysis, establish global stability, a mathematically proven bifurcation, cryptographic security, or universal robustness. The accompanying source code, result files, execution environment, plots, logs, and cryptographic hashes form part of the evidentiary record.