One problem is standing out above all others in social science: how should humanity govern itself? The problem is so important that all wars of humanity in the past, present, and future, are directly related to this problem. Despite the fact that this problem has attracted interests of some greatest thinkers for thousands of years: Confucius, Plato, Aristotle, Machiavelli, Locke, Washington, Jefferson, Madison, Kant, Marx, Einstein, Hayek, and many others, yet the problem remains unsolved. The latest thinking on this humanity governing problem by mainstream social scientists is represented by views of Friedrich Hayek. In his writings, Hayek repeatedly warned that we must shed the illusion that we can deliberately create the future of mankind. This paper disagrees with Hayek and proves for the first time that this problem is solvable scientifically applying recently-created physics laws of social science, if the problem is formulated in a correct way: what kind of governing political structure of humanity is most stable? Most-stable structure problems appear routinely in the theoretical and experimental condensed matter physics. We show that the humanity governing problem is equivalent to find an equilibrium political structure of a human society, which is a many-body physics problem 100% solvable using the maximum entropy approach widely-used in the condensed matter physics. This paper establishes the framework and methodology of quantum politics and replaces traditional political philosophy with quantum physics as the solid foundation of political science, and analyzes the equilibrium political structure of a human society. The main results are quite surprising: (1) Quantum physics does provide a firm scientific foundation for social science. For the first time, political science, economics, and other social science become branches of quantum physics just like optics and chemistry. (2) Quantum physics says that we can create free, fair, just, peaceful, and prosperous human societies. We prove that there is ...