What is Manifestation of the curvature of spacetime?

The manifestation of the curvature of spacetime is like how a heavy ball changes the shape of a trampoline, and that change makes other things move around it.

Imagine you're on a big, stretchy trampoline. If you put a heavy ball in the middle, the trampoline dips down around it. Now, if you roll another ball near the first one, it will start to go around the heavy ball, not because someone is pushing it, but because the trampoline itself is shaped differently.

That’s what happens in space, big things like stars and planets make spacetime curve around them, and that curving makes other objects move toward or around them. It's why the Moon orbits Earth, and why we fall when we jump, not because of magic, but because spacetime is bent by gravity.

Think of spacetime as a stretchy carpet you can walk on. When something big like the Sun is placed on it, the carpet stretches and curves around it. The Earth is just walking along that curved path, which we call an orbit, because that’s the easiest way to move through the bent carpet.

So next time you see a ball roll toward another one on a trampoline, remember: it's like how gravity works in space!