How Does The Nature of Geodesics Work?

A geodesic is just the shortest path between two points on a curve or bumpy surface, like how a ball rolls straight if you let it go on a smooth floor.

Imagine you're playing with a toy car on a trampoline. If the trampoline is flat, your toy car goes in a straight line. But if the trampoline is stretched out and curved, your toy car takes a curvy path, that's a geodesic on a bumpy surface!

Think of a balloon. If you draw a line from one point to another while it’s not inflated, it looks straight. But when you blow it up, the line becomes curved, and that’s still the shortest path between those two points on the now-round balloon.

So geodesics are like the "straight lines" on a round or curvy surface, they might look bent to us, but they’re actually taking the most direct route, just like your toy car rolling across a trampoline.