Gravity of Probability IV: Testing the Gravity of Probability Model on Gravitational Lensing in the Bullet Cluster

<b>SUPSERSEDED VERSION – Historical Draft Only</b><br><b>READERS:</b><br>This document represents an early-stage draft developed during the initial conceptual exploration of the Gravity of Probability (GoP) framework. The ideas here served as stepping stones toward the fully unified, mathematically consistent formulation that now incorporates probabilistic curvature, the decoherence kernel Γ(E), the scalar information field ρ_Ψ, and a globally standardized parameter set validated across galaxy rotation curves, gravitational lensing, and cosmology.<br>This version is preserved for historical and developmental context only. It should not be used for scientific interpretation or citation.<br>For the finalized, authoritative version of the GoP framework, please refer to the thesis:<br><b>https://doi.org/10.6084/m9.figshare.29815934</b>