https://youtu.be/wrwgIjBUYVc?si=WxdExwJiqVZWm3ct addresses this problem better than I can, and comes up with a much better visualisation. Less curved sheet, more seeing the curvature of space-time as a flow.
The curvature of space-time by mass causes “straight” lines to get bent slightly out of the time dimension into a spacial one, causing objects to fall toward the mass. The acceleration in space comes with a slight slow down in how fast you’re moving through time, which is a real measured effect.
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