Galactic Gravitational Field Measurements Part 2: Black Hole Energy Transfer

This paper, Part 2 of the Galactic Gravitational Field Measurements series, presents a mathematical analysis of black hole energy transfer mechanisms into the auxiliary modulation coordinate, with particular emphasis on the extended gravitational metric incorporating field modulation and generalized modulation-based field equation as complementary frameworks for understanding reality at its most fundamental level. We establish that black holes function not as terminal gravitational singularities but as sophisticated dimensional interfaces that convert matter into structured energy patterns within the auxiliary modulation coordinate. Through rigorous analysis using entropy-resolved resonance profiles, we demonstrate that information is never lost but rather transformed through specific resonance channels into modulation patterns that preserve all quantum information. Our framework transcends conventional approaches by revealing black holes as computational nodes in a universal information processing network, with event horizons functioning as phase transition boundaries between spacetime and the deeper dimensional structure of the auxiliary modulation coordinate. The mathematical formalism resolves longstanding paradoxes in physics while establishing a rigorous foundation for understanding reality as a unified informational substrate from which matter, energy, space, time, and consciousness emerge as interconnected phenomena.