1. The problem is to create a math-based astrophysics theory. 2. Astrophysics theories often involve equations describing gravitational forces, motion of celestial bodies, and energy dynamics. 3. A fundamental formula is Newton's law of universal gravitation: $$F = G \frac{m_1 m_2}{r^2}$$ where $F$ is the gravitational force, $G$ is the gravitational constant, $m_1$ and $m_2$ are masses, and $r$ is the distance between them. 4. Another key equation is Einstein's field equation in general relativity: $$G_{\mu\nu} + \Lambda g_{\mu\nu} = \frac{8 \pi G}{c^4} T_{\mu\nu}$$ which relates spacetime curvature to energy and momentum. 5. To create a new theory, one might start by proposing a modification to these equations or introducing new variables to explain phenomena like dark matter or dark energy. 6. For example, modifying Newton's law to include a term for dark energy density $\rho_{\Lambda}$: $$F = G \frac{m_1 m_2}{r^2} + \alpha \rho_{\Lambda} r$$ where $\alpha$ is a constant to be determined. 7. This new term suggests a repulsive force proportional to distance, which could explain accelerated expansion of the universe. 8. The theory would then be tested by comparing predictions with astronomical observations. 9. In summary, creating a math-based astrophysics theory involves starting from known physics equations, proposing modifications or new terms, and validating with data.