Spacetime and the Weak-Field GR Limit from a Single S3 Field

This paper presents a new model where space, time, and gravity are not independent structures, but instead emerge from a single, underlying field. By analyzing how vibrations travel through this field, we demonstrate that the theory naturally matches Einstein’s General Relativity in weak-field environments like our solar system. The work derives the standard laws of gravity and a specific "test score" (Gamma = 1) that aligns with current satellite measurements. Additionally, it reveals a unique signature of the model—a specific 3/4 factor for gravity screening—establishing a mathematical bridge between fundamental field theory and the observed universe.