Burdick's Crag Mass: A Three-Class Substrate Topology Classification of Galactic Rotation Curves

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.