Abstract

Cosmic lenses obtain their refracting properties from the hypothesis that the speed of light is a slightly slower constant inside the lens than outside. The title of this paper expresses its original goal, but that goal was not achieved in this paper because the target galaxies chosen for the analysis are too near to the Milky Way Galaxy (MWG). The MWG's lens cannot project local group galaxy images if they are inside its focal distance. Instead, a model for a spherical cosmic lens is presented that is constrained by the observed distances to the galaxies M31 and NGC 5128. These galaxies were chosen because the angular orientations of M31 are almost exactly equal to those of the inverted mirror image of NGC 5128, and that fits my claim that NGC 5128 is the negative-time projection of M31's dark- matter halo. Another observation in support of this claim is that these two galaxy images are nearly 180? apart in the sky. The model initially converged to the following solution using Microsoft Excel's Solver: lens radius R = 280.94 pc, index of refraction n = 1.00044563, and the distance to the unseen real object responsible for projecting both images, xo1 = 0.34475 Mpc. But closer examination revealed that this was not a unique solution. The ambiguity should be resolved as other conjugate galaxy pairs are included in the analysis.