Guerrero Rigidity Filter: Matter Transfer Function and Dwarf Galaxy Structural Scaling Pipeline.

This dataset contains the numerical pipeline and analytical results for the Guerrero Rigidity Filter, a core component of the Guerrero Effective Field Theory (EFT) for self-interacting Fuzzy Dark Matter (si-FDM). The provided code implements the modified matter transfer function and structural scaling laws for a boson mass m_{22} = 8 and a self-interaction coupling g_{NL} = 0.0059. Key Scientific Results Included: • Modified Transfer Function T(k): Documentation of the 95% shift in the half-power scale from k = 12.8 \text{ Mpc}^{-1} (standard FDM) to k = 25.0 \text{ Mpc}^{-1} (Guerrero si-FDM). • Structural Scaling Relations: Mathematical derivation of the soliton core radius growth in low-mass halos (r_c \propto M_{halo}^{-1/9}), demonstrating why halos below M_{halo} \sim 10^8 M_\odot become structurally diffuse and observationally "invisible" to current surveys. • Observational Predictions: Quantitative detection limits for JWST at z > 6 and spectroscopic requirements for 30m-class telescopes (ELT/TMT). This dataset provides the physical basis for resolving the "Missing Satellites Problem" through structural opacity rather than halo absence.