Weak Lensing Shear Correlation with the O'Reilly Effect: Testing Informational Contributions to Strong Gravitational Lens Morphology in SDSS J1206+4332

The Sμν term — the informational stress tensor central to RIGP theory — models the geometric footprint produced when an observer’s collapsed probability field introduces anisotropic curvature into a physical system. This is directly analogous to how mass curves spacetime in general relativity, but operating at the level of information geometry rather than mass-energy. The perturbation is modeled as a dipole-modulated anisotropic Gaussian at 4% amplitude, producing characteristic structured residuals after standard model subtraction.

 

The four-panel figure (standard model / Sμν perturbation field / total image / residuals) demonstrates that the predicted informational footprint is spatially coherent, anisotropic, and distinguishable from instrumental noise at HST sensitivity levels. We propose a direct observational test using archival HST ACS/WFC F814W imaging of SDSS J1206+4332.

 

This work connects to and extends several foundational theoretical frameworks including Verlinde’s entropic gravity, the ER=EPR conjecture (Maldacena & Susskind), Penrose-Hameroff Orchestrated Objective Reduction, and Nottale’s Scale Relativity — all of which point toward a deeper geometric unity between quantum information, consciousness, and spacetime structure.

 

Modeling performed with lenstronomy 1.14.0 on Python 3.14. Code architecture by Claude (Anthropic). Theoretical development in collaboration with Google Gemini. Prior related work: O’Reilly (2026), Empirical Sensitivity Analysis of Observer-Constrained Coherence in Qubit Manifolds, Zenodo.

 

Keywords: gravitational lensing, strong lensing, SDSS J1206+4332, information geometry, entropic gravity, RIGP, Sμν, consciousness, quantum gravity, Einstein ring, lenstronomy