Galaxy Rotation Dynamics from a Mid–Band 1/r Window (No Free Floats),in 7D 2t PLI Grand Unified Model

We develop and test a mid–band gravitational “portal” in which the linear Poisson oper-
ator is modified by a positive, derivative–suppressed kernel μ(k) motivated by the Janus–PLI
framework. The kernel produces an outer rotation–curve lift and a matched lensing enhance-
ment while leaving Solar–System scales and linear cosmology essentially unchanged. Our
implementation uses integer–only choices previously fixed by Principle of Least Informa-
tion (PLI) arguments, with no per–galaxy floats. We provide a reproducible Hankel–space
pipeline (with code) and ship figures for: (i) μ(k) vs. k, (ii) rotation–curve overlays on three
baryonic archetypes, and (iii) the lensing ratio Σeff /Σbary(R). We also document a SPARC
intake to run the same kernel against real galaxies with zero per–galaxy tuning.