Einstein Rings and Cassini Constraints under the Aichmayr Metric

This dataset presents visualizations and numerical analyses of the Aichmayr metric through observable gravitational phenomena: Einstein Rings (lensing): Comparison of angular sizes for multiple systems (NGC 6505, RXJ1131, Cosmic Horseshoe). Euclidean Rings: Reference plots highlighting deviations from the Schwarzschild geometry. Cassini Shapiro Test: Time-delay analysis in solar vicinity, providing strong constraints on the damping radius r_s. The results demonstrate that lensing observations allow for moderate bounds (r_s/M \gtrsim 10^3), while Cassini in the Solar System demands extremely large scales (r_s/M_\odot \gtrsim 10^{10}). This strongly suggests a scale-dependent dynamics of r_s. The dataset includes plots, CSV files, and illustrations designed for direct use in further analyses and publications. It complements ongoing research on the Aichmayr metric and its astrophysical implications.