The metric tensor

The metric tensor is a mathematical tool used in physics and geometry to measure distances and angles within a space. Think of it as a flexible ruler that adapts to the shape of the space, allowing us to accurately determine how far apart two points are or how objects are oriented relative to each other. In curved spaces, like around massive objects in space, the metric tensor helps us understand how geometry behaves differently from flat, familiar surfaces. Overall, it provides the rules for navigating and measuring within any given space.