Another angle that might help: Newton was correct when he said a particle with no forces on it would keep going in a straight line. He was just missing a dimens

Another angle that might help: Newton was correct when he said a particle with no forces on it would keep going in a straight line. He was just missing a dimension in his coordinate system. The geodesic is the straight line in spacetime. And mass distorts the spacetime metric (mostly time) in a nonlinear way, so when you project that straight line back into 3D space, it’s not linear, it’s a curve. An “acceleration” curve.