Mathematical Principles of Black Holes and Dark Matter

The book fully utilizes the unique characteristics of the Milky Way: boundedness, stability, and uniform asymptotic convergence of motion. It fully uses the limit cycle theory of nonlinear dynamical systems to construct an analytic mathematical model of the Milky Way. It derives the classification of black holes, the mathematical principles of black hole formation, the analytic equilibrium equations for black hole singularities and singular cycles, the twin behavior and symmetry of black holes, and the qualitative directional theory of celestial motion inside and outside black hole walls. From the essential connotation of dynamical behavior in mathematical systems, it presents what dark matter is, the mathematical principles of dark matter formation, the mathematical nature of dark matter, the mathematical relationship between dark matter and dark energy, dark energy generated by the mathematical driving forces of celestial motion, the relationship between system forces (natural forces) and gravity, electromagnetism, strong nuclear force, and weak nuclear force, as well as the unification of the five forces. It also presents the semi-strange attractors of black hole dynamics, the nonlinear dynamical analysis of stellar motion in black holes, and the relationship and characterization between Lorenz chaotic attractors and the dynamical behavior of celestial bodies in the universe.