Projective Curvature Theory, Part II : Gravitational Acceleration and Curvature-Induced Inertial Scale

In this second paper, we develop the dynamical implications of Projective Curvature Theoryintroduced in Part I, focusing on the role of curvature of tangent directions in gravitationaland inertial phenomena. Within this framework, gravitational acceleration is described in termsof a curvature field associated with projective completion, leading to expressions that dependon geometric quantities such as the curvature coefficient, the speed of light, and characteristicdynamical scales. Illustrative applications are discussed in the context of orbital motion. Wefurther show that intrinsic acceleration, when combined with projective closure of tangent direc-tions, defines an effective inertial scale that governs the localization properties of fluctuations.This provides a geometric mechanism through which fluctuation amplitudes may be modifiedin regimes of significant curvature. The framework also yields a geometric description of lightpropagation and deflection, as well as frequency shifts, arising from the underlying curvaturestructure of tangent directions. These results suggest that aspects of gravitational and opti-cal phenomena can be consistently described within a curvature-based geometric formulationdeveloped from projective principles.