Phase 10: A Rigorous Lensing Test of Emergent Quantum Entropic Gravity

Phase 10 presents the most rigorous, high-stakes test of emergent quantum entropic gravity to date. Building on previous work with directional weak lensing, this study combines complete analytic derivations with fully populated numeric evaluations across three galaxy datasets (Parent, KiDs, Dwarf2). The paper explicitly shows every step: from entropic and total accelerations, to effective potentials, to predicted and computed photon deflection angles. By directly comparing predictions to numeric results, Phase 10 provides a fully transparent, falsifiable assessment of the theory. The results confirm consistency across high- and low-mass regimes, demonstrating that emergent quantum entropic gravity accurately reproduces observed lensing within the tested datasets. This work represents the final, definitive lensing evaluation, merging theory, computation, and data in a single, self-contained framework.