Lorentzian Manifold

A Lorentzian manifold is a mathematical structure used in physics, particularly in general relativity, to describe the fabric of spacetime. It combines both space and time into a single framework, allowing us to understand how objects move and interact under the influence of gravity. The key feature of a Lorentzian manifold is its ability to handle time as a different dimension compared to space, incorporating a special mathematical property that distinguishes time from the three spatial dimensions. This structure helps us model the universe's curvature and the effects of massive objects on the paths of moving bodies and light.