Collapse Gradient-Curvature Coupling in Observer Field Theory (OFT): Technical Note v1.0

This technical note introduces a foundational equation within the Observer Field Theory (OFT) framework, which establishes a direct relationship between spacetime curvature and the precision gradient of a collapse field. The formulation: G∝1κcollapse⋅∣∇Φ∣2G \propto \frac{1}{\kappa_{\text{collapse}} \cdot |\nabla \Phi|^2}G∝κcollapse⋅∣∇Φ∣21 posits that emergent curvature arises not from stress-energy but from informational structure embedded in quantum collapse dynamics. This equation provides a novel mechanism for massless gravitational lensing, natural Planck-scale resolution bounds, and an alternative to Einstein’s source term. This document serves as a formal timestamp and declaration of authorship. All future uses or references to this formulation should cite this release. Author: Thomas Tai Dinh PhamDate: April 10, 2025