Bullet Cluster Path C Pipeline Summary v2 (CAPA-047 corrective) Charles Anthony Hyatt Battiste UM/FUM -- USPTO 19/640,364 CAPA-047 corrective actions applied: CA-1: F277W -> Sigma_stellar recalibrated via FSPS at z=0.296 F277W_TO_SIGMA_STAR_FSPS = 2.50e+09 M_sun/Mpc^2 per (MJy/sr) (v1 placeholder was 1.0e9; 100x recalibration) CA-2: Sigma_gas added from Chandra X-ray stack, Bradac-anchored Calibration anchor: M_gas(ACS field) = 1.30e+14 M_sun (Bradac 2006 Table 3) (v1 used scalar 6.5x stellar; now spatially-resolved) CA-3: Sigma_baryon = Sigma_stars + Sigma_gas with spatial registration CA-4: kappa_pred = K_act_obs * Sigma_baryon / Sigma_crit_lens Locked framework constants: phi = 1.618033988749895 alpha_struct = 0.0073032157 Eidolon = 135.925985 K_struct = 767.7223 g_critical = 1.0420e-10 m/s^2 Lensing geometry: z_L=0.296, z_S=2.0, Sigma_crit_lens=4.7967e+00 kg/m^2 Sigma_baryon components: Sigma_stars max = 165486.58 M_sun/pc^2 (FSPS-calibrated) Sigma_gas max = 643224935.01 M_sun/pc^2 (Bradac-anchored) Sigma_baryon max= 643225191.09 M_sun/pc^2 Stellar fraction (integrated) = 0.000 Gas fraction (integrated) = 1.000 kappa_pred v2 stats: min = 5.3730e-03 max = 2.6678e-01 mean = 2.6764e-02 kappa_observed stats (unchanged from v1): max = 2.8705 mean = 0.1449 PA-3 magnitude gate: kappa_pred.max() / kappa_obs.max() = 0.093 (target: [0.1, 10]) Gate status: FAIL Centroid separation (kappa_obs - kappa_pred): 26.06 arcsec