The Black Hole Equation: Toward a Unified Quantum Model of Gravity and Curvature

The Black Hole Equation advances total unification between quantum mechanics and general relativity. The black holes in the BHE model are represented by finitely curved and spin–curvature coupled self-evolving quantum wave systems. Gravitational self-feedback processes and information holding can potentially let the BHE paradigm integrate the black hole thermodynamics, Hawking radiation, and quantum spacetime dynamics in an inclusive mathematical structure. In this article, the theoretical motivation, mathematical formulation, and graphical simulations derived with the help of GNU Octave software are presented, and they can offer the potential for the realization of a quantum theory of gravity suitable for experimental testing.