General Relativity Alternate : SAGE

We propose a new gravitational model—the Spiral-Angular Gravitational Equation (SAGE)—which unifies galactic rotation dynamics, gravitational lensing, black hole interiors, quantum coherence, and cosmological expansion through a single physical mechanism: a spiral-modulated energy field tensor. SAGE replaces the need for dark matter, dark energy, and scalar-field inflation by introducing a spiral energy tensor Φµν as an extension to Einstein’s field equations. The model successfully matches observed galaxy rotation curves, lensing maps, cosmic expansion data, black hole structures, and the CMB spectrum. This paper presents the full derivation and applications of the SAGE framework.