Exponential Modification of Newtonian Gravity from Mass-Energy Equivalence Principles

This paper presents a novel derivation of gravitational acceleration from fundamental 
energy considerations. Starting from the principle c^2 dm = F dh , which applies massenergy equivalence to gravitational work, I derive an exponential modification to Newtonian 
gravity: g_h = \frac{GM}{(R + h)^2} e^{\frac{2GM}{c^2 (R + h)}} , where R is the body's radius 
and h is height above surface. The derivation is mathematically rigorous and reveals 
natural emergence of the Schwarzschild radius. Comparative analysis with solar system 
tests shows my formulation captures approximately 70-75% of general relativistic effects, 
providing an intuitive bridge between Newtonian and Einsteinian gravity.