If gravity is the curvature of spacetime, why do objects fall down the "well"?

because space isnt a two dimensonal plane. picture it like a cube, and the object with gravity is effectively it indenting all of the sides of the cube, not just the one it's sitting on top of

Took me hours on google to figure this out

Objects with lower gravitational potential moves towards that with higher potential.

...

>tfw you realize gravity is physical manifestation of metaphysical love

This doesn't really work much better than the 2D representation. Look at how all the lines are curving away from the planet? Yea.

>North to begin with, and you turn east, then you will be moving slower north.
you're saying that if my velocity V = 0i + 1j
and V += 1i -> V != 1i + 1j
but that is wrong!

Imagine that you're walking though the grid, you want to walk in a straight line through curved space (a geodesic). That means that you could follow one of the white lines in the pic. As you can see some paths will crash you into the planet, the curve of these lines is due to the presence of mass, or gravity.

Is this bait? Obviously user meant that if |v| stays the same but the easterly component increases, the northerly component must decrease correspondingly. He said
>and you turn east
meaning that the only thing changing is the angle between your velocity vector and the north axis.

Thanks for starting this thread OP, it's allowed me to become much less of a brainlet. The curved space explanation makes much more sense than the well explanation.