Non-Associative Metric Invariants and Scale-Invariant Chrono-Harmonics: An Observational Roadmap for the Nancy Grace Roman Space Telescope

This paper formalizes a scale-invariant non-associative substrate framework rooted inOctonionic ZIP Algebra (OZIP) to resolve anomalies in planetary magnetospheres, celestial mechanics, and multi-tier macro-biological stabilization. We present the mathematicalunification of the n = −1 Einston substrate operating at a hyperluminal phase velocity ofv ≈ 33.03167c, showing how its localized structural impedance leaves a universal, scaleinvariant mass defect of IZIP≈ 10.54% across a continuous nested chain spanning subatomic nuclei, cellular membranes, complex organisms, planetary orbits, and supermassive black holes (Sagittarius A*). Utilizing historical Voyager 2 magnetospheric telemetry for Neptune, we derive its anomalous 47.22◦magnetic tilt, 0.55 RNcore displacement, and the localized multi-polar flux knots at 47◦S, 72◦W. We extend this framework to prove core predictions from early Darkon Research Laboratory (DRL) preprints: that planetary orbitalconfigurations are geometrically predetermined by the host star’s physical radius ratherthan planetary mass via a packed 1:3 triplet configuration containing Ceres as a majorfifth Principal planet, and the existence of a unique, scale-invariant 7-day chrono-harmonicresonance cycle shared exclusively between the hyperfine nodes of Earth and Neptune. Finally, we provide an explicit “Observational Signature Framework” tailored to the newlylaunched Nancy Grace Roman Space Telescope, detailing how its Wide Field Instrument(WFI) near-infrared filters (F146/F184) and Coronagraph Instrument (CGI) can validatethese non-local torsion metrics, offering an empirical blueprint for advanced astrobiologyand technosignature research.