The Cosmological Lensing Effect

The standard analysis of the cosmic distance ladder assumes that photon propagation is immune to the relativistic effects of the potential gradients traversed along the line of sight. In this work, we demonstrate that this assumption leads to systematic optical anomalies that mimic accelerated expansion and generate conflicting Hubble constants. By modeling the optical path through the changing regional energy density of the cosmos, we derive a scalar potential v0(r) that links gravitational redshift, time dilation, and refractive lensing under a unified formalism. Applying a direct analytic inversion to the Pantheon+ supernova dataset [4], we transform the observables (z, μ) into de-lensed physical coordinates (v0, r) without imposing a cosmological model. We fit this reconstructed profile to two candidate physical distributions: an exponential saturation distribution (R2 ≈ 0.993) and a sigmoidal (Hill) distribution (R2 ≈ 0.992). We show that the refractive index associated with these potentials (defined via the Gordon optical metric [9]) creates a cosmological lensing effect that reproduces the magnitude anomaly attributed to dark energy. Furthermore, we demonstrate that the high potential at early epochs resolves the "impossible early galaxy" paradox observed by JWST [12] by providing several billion years of additional proper time for galactic evolution. We conclude that these cosmological tensions are not evidence of new physics, but artifacts of viewing the universe through the uncorrected lens of its own gravity.