Two–Channel Future Mass Projection (FMP) vs. ΛCDM on SPARC Rotation Curves Kernel–Modulated Baryons with Lensing Coherence and Competitive to Superior Fits

We present a comprehensive validation of the two–channel Future Mass Projection (FMP) framework on SPARC rotation curves. In FMP, stellar and gaseous baryons are modulated by separate closed–time–path (CTP) kernels that yield smooth, mildly radius–dependent response functions D⋆(R) and Dg(R). These functions multiply the standard SPARC baryonic templates and carry naturally into lensing with Li(b) ≃ Di(b) in the quasi–static, weakly anisotropic limit. We focus on six representative late–type galaxies (F561-1, F563-V1, F567-2, F574-2, KK98- 251, NGC2976) and show that two–channel FMP captures inner boosts and flat outer slopes with a small, interpretable set of hyperparameters (per–channel bandpass scales and finite horizon). In these systems, FMP matches or outperforms ΛCDM/NFWfits while remaining lensing–coherent and directly interpretable in terms of baryonic structure. We discuss failure modes (bulge–heavy HSBs, gas–dominated LSBs with rising outskirts, non–circular motions) and targeted remedies (channel–specific windows, robust M/L, inner–point masking, asymmetric drift). Our results indicate that kernel–modulated baryons provide a compact, physics–guided description of disk galaxy kinematics that is competitive with halo–additive models and uniquely positioned for joint RC+lensing analyses.