Mathematical Principles of Black Holes and Dark Matter

Shutang Liu · Changan Liu · Miao Ouyang · Zhi-Min Bi

Dec 2025 · American Academic Press

Ebook

394

Pages

Eligible

About this ebook

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.

Discover more

About the author

Shutang Liu, Ph.D., is a Professor and Doctoral Supervisor at Shandong University. His research focuses on nonlinear theory, control and application analysis in nonlinear dynamical systems, fractal and chaos theory and control, astrophysics, physical oceanography, and marine ecology. He has published nearly 400 papers in top-tier and other academic journals. He has authored five monographs as the first author with Springer. He has led four National Key Fund Projects and over ten different projects, including General Programs of the National Natural Science Foundation of China. He serves as a member of the Chaos Secure Communication Committee of the Chinese Association for Cryptologic Research, Vice Chairman of the Circuit and System Subcommittee of the Chinese Institute of Electronics, a reviewer for Mathematical Reviews of the American Mathematical Society, and a member of the American Mathematical Society.

Changan Liu, Ph.D., is an Associate Researcher Fellow at Shandong University and is recognized as an Overseas Scientific Talent in Shandong Province. His research focuses on nonlinear dynamical systems, fractal theory and applications, artificial intelligence and big data, computational biology, biomathematics, and biomedical informatics. He has published over 30 international academic papers and co-authored a monograph by Springer. Additionally, he has participated in and led multiple national and provincial-level natural science foundation projects.

Miao Ouyang, Ph.D., is a lecturer at Nanchang Hangkong University, China. Her research focuses on qualitative analysis of nonlinear dynamical systems and applications, with expertise in fractional theory, fractal and chaos theory and control. She has published multiple papers in international academic journals. She has presided over or participated in several national and provincial-level research projects funded by the Natural Science Foundation of China.

Zhi-Min Bi, Ph.D., is an Associate Professor at Shandong University of Aeronautics, China. His research focuses on qualitative analysis of nonlinear dynamical systems and applications, with expertise in pattern dynamics and fractal theory. He has published multiple papers in international academic journals. He has presided over or participated in several national and provincial-level research projects funded by the Natural Science Foundation of China.

Rate this ebook

Tell us what you think.

Reading information

Smartphones and tablets

Install the Google Play Books app for Android and iPad/iPhone. It syncs automatically with your account and allows you to read online or offline wherever you are.

Laptops and computers

You can listen to audiobooks purchased on Google Play using your computer's web browser.

eReaders and other devices

To read on e-ink devices like Kobo eReaders, you'll need to download a file and transfer it to your device. Follow the detailed Help Center instructions to transfer the files to supported eReaders.

Flag as inappropriate