Burdick Crag Mass: A Substrate Wave Model for Galactic Rotation Curves Without Dark Matter
Key Points
This study aims to model galactic rotation curves as an alternative to dark matter using a substrate-based approach.
Developed a model using four global parameters.
Classified 175 galaxies into six distinct substrate interaction states.
Compared model performance using chi-squared statistics across different methods.
Achieved a mean reduced chi-squared of 42.1 for BCM compared to 92.1 for NFW.
Demonstrated superior performance against MOND's 1630.4.
Generated testable predictions for neutrino gradients and other astrophysical phenomena.
Abstract
A substrate-based phenomenological alternative to cold dark matter in which the dark matter signal is modeled as the energy maintenance budget of a pre-existing 2D spatial substrate. Using four global parameters (lambda=0.1, kappa=2.0, grid=256, layers=8) and zero per-galaxy tuning, we classify 175 SPARC rotation curve galaxies into six physically distinct substrate interaction states. On 29 representative galaxies, BCM achieves a mean reduced chi-squared of 42.1 compared to NFW's 92.1 (two fitted parameters per galaxy) and MOND's 1630.4. The framework generates falsifiable predictions for IceCube/KM3NeT neutrino flavor gradients, Betelgeuse tachocline recovery, and binary mass transfer rates. All code and data: https://github.com/Joy4joy4all/Burdick-Crag-Mass
Burdick Crag Mass: A Substrate Wave Model for Galactic Rotation Curves Without Dark Matter — v5 with Einstein Coupling, Null Pump Proof, and Boundary Dynamics2026