Burdick's Crag Mass: A Six-Class Substrate Topology Classification of Galactic Rotation Curves and Planetary Dynamo Scale-Invariance

We present the Burdick Crag Mass (BCM) framework — a substrate wave model driven by supermassive black hole neutrino flux that classifies SPARC galaxies into three distinct substrate interaction states without dark matter. Using the 175-galaxy SPARC rotation curve dataset (Lelli et al. 2016), we identify a stable tripartite classification: Class I (Transport-Dominated, 9/31 massive bracket), Class II (Residual/Hysteresis, 7/31), and Class III (Ground State, 15/31). This classification remains stable under parameter perturbation, indicating a physical boundary in galactic substrate topology rather than a model artifact. The dark matter signal is reinterpreted as the neutrino maintenance budget of the spatial substrate, funded continuously by the central SMBH. A testable prediction is provided for IceCube/KM3NeT neutrino flavor ratio measurements at galactic edges. Version 1.2 adds: The BCM Structural Override System (Classes IV–VI), extending the original three-class topology to six physically distinct substrate interaction states. New classes confirmed: Class IV (Declining Substrate — outer rim depletion), Class V-A (Ram Pressure — asymmetric λ field), Class V-B (Substrate Theft — multi-body SMBH competition), Class VI (Barred Substrate Pipe — bar-channeled flux). Validation runs on three galaxies with the override system confirmed: NGC3953 Class VI delta flipped from −31.3 to +11.1 km/s (substrate wins) via bar dipole geometry and LINER throttle; NGC7793 Class V-B flipped to substrate win (+2.2 km/s) via 2D HI Moment-0 morphology and void depletion; NGC2841 Class I control stable at +28.4 km/s. Environmental depletion suppression gate confirmed for NGC2976 (substrate vacuum, Newton RMS 3.7 km/s). 2D HI Moment-0 ingestion live for three THINGS galaxies. BCM_Substrate_overrides.py and Genesis Renderer visualization methodology included. Zero free parameters maintained throughout. Version 2.1 adds: Complete solar system planetary substrate solver (all 8 planets). Resonance Hamiltonian H(m) = (c_s - ΩR/m)² confirmed for Earth (m=1), Jupiter (m=1), Saturn (m=6), Uranus (m=2), Neptune (m=2). Mercury m=1 prediction documented for BepiColombo magnetometer target. Gap 7 (Uranus-Neptune Twin Paradox) identified and quantified — Lambda regime classifier implemented. Mixing Length Theory convective velocity added to all planetary parameters. Diamond rain convective pump identified as Uranus substrate mechanism. Full codebase open source: https://github.com/Joy4joy4all/Burdick-Crag-Mass