Inverse-Square Density Profiles and Gravitational Lensing from Conserved Flux

This paper examines the gravitational lensing implications of inverse-square density profiles arising from conserved outward flux in a class of field systems. Starting from the density scaling rho (r) ~ r^-2, the paper derives the corresponding gravitational potential and computes the resulting light deflection in the weak-field limit. The resulting lensing profile is shown to be approximately constant with impact parameter, matching the characteristic behavior of isothermal sphere halo models commonly used in gravitational lensing studies. The analysis builds directly on the preceding paper, Conserved Flux and Inverse-Square Density Profiles in Galactic Rotation Curves, which demonstrated that conserved outward flux naturally produces inverse-square density scaling and flat galactic rotation curves. The present work establishes a direct connection between conserved flux, effective mass distributions, and observable lensing behavior. No additional particle sector, modified gravitational law, or prescribed halo profile is assumed. This paper forms the second part of a three-paper sequence investigating conserved flux, inverse-square density profiles, gravitational lensing, and coherence-driven structure formation. This document is released as part of the public Coherence Geometry research corpus. Internal Reference: CGI-RSR-000030