Sagittarius A-Star said:
To my understanding it is not experimentally verified, that classical point particles without interaction force would follow a geodesic, because classical point particles do not exist in reality.
It is experimentally verified to high precision that ordinary objects like rocks, baseballs, and spaceships in free motion follow geodesics. So treating them as point particles in the math for cases where we don't care about their actual size or internal structure is perfectly justified.
In fact, it's even experimentally verified to high precision that large objects, like planets and stars, whose size, internal structure, and self-gravity are not negligible, in free motion follow geodesics. Demonstrating theoretically why this is expected to be the case to the precision of our current best measurements is actually quite complicated. There was a PF thread on this some time back, but I can't find it right now.
See further comments below.
Sagittarius A-Star said:
Are quantum things, not classical, so they are out of scope for this thread.
Sagittarius A-Star said:
have a spartial size greater Zero
This is way, way, way oversimplified, but again, it's out of scope for this thread anyway. If you want to discuss how the concept of "spatial size" is used in QM, please start a separate thread in the QM forum.
Sagittarius A-Star said:
the model with the 2 clocks in the video would work for them
The model with the 2 clocks in the video is, at best, a very rough heuristic. The obvious problem with it is that GR predicts that point particles will follow geodesics. The fact that there are no point particles in the real world is irrelevant, since the video claims to be explaining why GR predicts what it predicts, and GR as a theory makes predictions about point particles, so the video should be explaining why those predictions are the way they are. The model with the 2 clocks fails to do that.