From Einstein's Field to Energy Flow: A Continuum Model of Gravitation

This study reformulates Einstein’s field equations as a continuum model of gravitation expressed through a real temporal-density field (ρₜ, k = −1). It replaces the geometric interpretation of curvature with a physical description of Time as an energetic medium whose flow produces measurable gravitational effects. The paper demonstrates that General Relativity emerges as the macroscopic limit of this ρₜ–k continuum and establishes the foundation for subsequent extensions into relativistic spinor and quantum correspondence domains.