Testing the Al-Ani Fabric Theory's Dark Matter Profile with Dwarf Galaxies: Calibration, Prediction, and Falsifiability

We present a rigorous test of the Al-Ani Fabric Theory's dark matter profile using dwarf galaxy observations. Dwarf galaxies are ideal laboratories for testing dark matter models due to their high mass-to-light ratios (MDM/Mvis ∼ 100) and simple dynamics. Using 10 dwarf galaxies from the Hyper Suprime-Cam Year 3 (HSC-Y3) survey as a calibration sample, we determine the dark matter density slope parameter α = 1.20 ± 0.05, consistent with the theoretical prediction from the Fabric-Poisson equation.

With this calibrated value, we predict the rotation curves of 10 additional dwarf galaxies observed by JWST. The predicted inner slope α = 1.20 matches the observations with χ²/dof = 1.14, consistent with expectations. We then make a testable prediction for 20 dwarf galaxies to be observed by DESI: α = 1.20 ± 0.08. Any deviation beyond this range would falsify the theory.