Testing the Al-Ani Fabric Theory with Black Hole Shadows: Calibration, Prediction, and Falsifiability

We present a rigorous test of the Al-Ani Fabric Theory using black hole shadow measurements from the Event Horizon Telescope (EHT). Using the M87* shadow as a calibration point, we determine the single free parameter of the theory, αδ₀ = 0.164 ± 0.02. With this calibrated value, the theory predicts the shadow of Sgr A* to be R_shadow/R_s = 2.74, corresponding to an angular diameter of 23.2 μas. This prediction lies within 1σ of the EHT measurement 2.62 ± 0.13 (21.7 ± 1.5 μas). We then make a testable prediction for the supermassive black hole in NGC 1052* (M = 1.5×10⁸ M⊙): R_shadow/R_s = 2.74 ± 0.10, corresponding to 42.3 ± 3.5 μas at its distance of 18.5 Mpc. This prediction will be tested by future EHT or ngEHT observations, providing a crucial falsifiable test of the fabric framework. Complete error analysis is performed using standard propagation of uncertainties.