This acceleration (time pointing slightly down) is entirely responsible for the motion of the planets, and every other everyday experience of I wanted to give H&M the benefit of the doubt, I would say that they were saying that without gravity matter would not aggregate/clump/come together and the universe would be a soup of atoms/molecules, but there are other forces, like electrostatic/magnetic, and I don’t think that’s what they were saying. This takes the form of downward acceleration. So anything that moves forward in time will find its trajectory pointing down slightly.
Literally, near heavy objects, the “future direction” points slightly down. The curvature of spacetime (not just space) is responsible for gravity. In almost all cases the vast majority of an object’s movement is tied up in its forward movement through time.
#Curved space graph full
It takes a little over 3 million years for it to go full circle. Literally, there’s a little more space near the Sun than there “should” be, and as a result the direction in which Mercury’s orbit is elliptical moves. The precession of Mercury’s orbit is another example of the tiny effect of the curvature of space (and it is tiny). For example, the total stretching of space due to the Earth amounts to less than 1cm. With the exception of only the most extreme cases (black holes), space is very, very close to flat. The curvature of space alone has almost no effect on the movement of objects until they are moving really fast.
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