This novel interpretation of the relationship between space, time, and gravitation and its cosmological implications is based on the author's discovery of a small but significant value in gravitation that was overlooked by both Newton and Einstein. Dubbed the "Burke Potential," it resolved an issue with gravitation measurements and rates of entropy related to the discovery of a time-varying part of the local gravitational field. The treatment provides many examples and applications to the geometric language and ideas that are essential to modern theoretical physics. Nearly every section concludes with a selection of problems. Prerequisites include a familiarity with linear algebra, ordinary differential equations, and special relativity.  For graduate-level educators and students in physics, relativity, astrophysics, and cosmology.