What I took you to mean when you made comments like “This still conserves mass, since black holes have mass. It also obeys the Gauss Law” is to mean not just that Gauss’s law holds, but that it’s integral form can still be used to calculate the force on the Earth in a trivial matter depending only upon the mass inside the closed surface and hence then the force on the Earth would stay the same as if the sun had not split in two.
This would be a novice mistake I have been correcting countless times as a tutor and TA. The Gauss law holds even when there is no symmetry, but it is much less useful to calculating electric or gravitational field at a given point. It is, however, can be profitably used to argue other points, like the one I made.
I will at this point certainly admit and apologize for the fact that I interpreted your comments uncharitably since it sounded like you were making a common beginner’s error.
No need for an apology, I’m glad we cleared that up.
if we could use Gauss’s law to say that the force from inside of an enclosed area is directly proportional to the mass inside, then we would be able to draw a region in space around two of the three bodies and calculate the force on the third.
I understand what you mean now, given what you said previously and I certainly agree that this would make no sense.
This would be a novice mistake I have been correcting countless times as a tutor and TA. The Gauss law holds even when there is no symmetry, but it is much less useful to calculating electric or gravitational field at a given point. It is, however, can be profitably used to argue other points, like the one I made.
No need for an apology, I’m glad we cleared that up.
I understand what you mean now, given what you said previously and I certainly agree that this would make no sense.
Inferential distance is a b****.