RandallB said:
?? The exception you qouted me quoting pevect "the case of a rotating star"
pervect said that the collapse of a rotating star
would generate gravitational waves. You said it
wouldn't.
RandallB said:
But you do have it handy and provided it by qouting them as saying
"What if the Sun *did* become a black hole for some reason? ... The Earth and the other planets would not get sucked into the black hole; they would keep on orbiting in exactly the same paths they follow right now. ..."
No change means no wave, and "tidal forces" forces are not some independent thing, it can only change if the gravitational field changes.
But this quote doesn't say there would be absolutely no change in the gravitational field--it says "as long as you stay well outside the horizon, a black hole's gravity is no stronger than that of any other object of the same mass", which suggests it might be some sort of limit where the further you get from the horizon the closer the gravitational field is to that of the original star, but there might always be some slight divergence. Alternatively, I suppose it's possible that the field only differs when you're closer to the BH than the radius of the original star, outside this radius it's identical--this would be the case in Newtonian mechanics. But the quote itself doesn't clearly indicate which one it is. In any case, it's just your
assumption that gravitational waves are impossible if there is no permanent change in the gravitational field--why couldn't it be true that when the star collapses, distant planets experience a transient change as a gravitational wave passes them by, then the gravitational field returns to being exactly what it was before the star's collapse?
JesseM said:
And your handwavey argument was purely based on GR, since the assumption that spherical symmetry = no gravitational waves is just a theoretical prediction of GR itself
RandallB said:
So here you admit my "handwavey argument" is in fact based on GR.
Yes, but it's handwavey all the same--you said "I don't see any loss in symmetry in the POV from Earth caused by the sun rotating", but clearly if GR predicts that gravitational waves are only possible in a non-spherically-symmetric situation, and physicists have done the actual calculations for a rotating star's collapse and found that GR predicts it generates gravitational waves, then you must be incorrect that the collapse rotating star is a spherically symmetric situation. And thinking about this a little more, it seems to me you're just confusing cylindrical symmetry with spherical symmetry--the first means that the situation is unchanged if you rotate around the cylinder's axis, the second means the situation is unchanged if you rotate about
any axis going through the center of the sphere. And clearly if we pick an axis which is different than the sun's axis of rotation, then rotating about this axis will change the sun's axis of rotation (along with the direction of all the tangential velocity vectors), so this is not a spherically symmetric situation.
RandallB said:
Look, I already said I could be proven wrong, but not by your wining about it. You and I have different standards; you chose to dogmatically accept your scientific leaders as pronouncing pure irrefutable facts, I do not and prefer the Scientific Method of doubt and test.
But we're not talking about an empirical question requiring real-world testing here, we're talking about a purely mathematical question of what GR predicts. So what I'm saying is that I trust the actual detailed calculations of large numbers of trained physicists over some vague intuitive nonmathematical arguments, and if you trust these intuitive arguments over the calculations of all these physicists just because they're
your intuitive arguments, then I think you're falling into the psychological trap discussed
here.
RandallB said:
Especially when those same leaders express my same doubts when they propose experiments like LIGO to resolve those doubts.
They express no doubt that GR predicts gravitational waves for a collapsing rotating star, the doubts are only over whether GR is correct in the first place. But that's not what we're discussing on this thread, since again, your argument was based on assuming that GR's "no gravitational waves without a violation of spherical symmetry" claim is correct.