The answer on the question follows a different route. It starts from something that is flat and this resembles a horizontal sheet. Next you place a round object on this sheet and now this sheet will be bended or curved (picture #1) . The question is why is this?
Now study the case (picture #2) with the yellow (large) ball and the blue (small) marble. What is 'strange' that the large object does not move but only the small object.
Study the same case with the yellow (large) ball and the blue (small) marble but in the slightly different configuration: both the yellow ball are of the same seize (have the same mass) and both move in a horizontal plane. The question is how do you draw the movement of both objects in óne picture of what you call space-time.
IMO that is very difficult.
Considering Newton he clearly made a distinction between space and time. That means at every instant all the objects have a distinct position.
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