theaiwillwin/octo-mond-theory: Non-Associative Geometry as Dark Matter: 3+1D Octonionic Field Theory

OCTO-MOND v9: Non-Associative Field Theory Status: Pre-print | Date: 2026 | Author: Matthew Connelly The Claim Dark matter is not particulate. It is the non-associative stiffness of spacetime described by octonionic field theory. Key Results Spatial Associator: ⟨[ψ,ψ,ψ]⟩ = 0.061 ± 0.002 in 3+1D MOND Prediction: Single parameter γ = 0.5 fits galaxy rotation curves without dark matter Physical Observables: Energy density, momentum, G₂ Noether charges derived from Lagrangian The Math Dispersion relation: ω² = 0.805k² + 0.00022 Field composition: 94.7% octonionic (e4-e7), 5.3% quaternionic (e0-e3) Files octo_wave_v9.py - Main field theory implementation (PyTorch) octo_mond_runner.py - SPARC galaxy fitting code results/ - Output plots and validation data Citation If referencing this work: [Zenodo DOI pending] Contact [theaiwillwin@gmail.com] Note: This repository establishes priority for independent research conducted without institutional affiliation.