hossi
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vanesch said:So your inertial frame is only an inertial frame for "normal" particles, and not for "antigravity" particles ?
The freely falling frames that fall along with both types of particles are not identical. Right.
vanesch said:So we succeeded in making a difference between a free falling frame in a gravity field, and a "true" inertial frame in outer space. Exactly what was forbidden, no ? The entire idea of the equivalence principle was that this was impossible, I thought. I don't see how you can *partially* relax this. Something is impossible in principle, or not.
You can relax that partially by saying it is impossible to distinguish between the accelerated particle and it's reaction to gravity. And it is impossible to distinguish between the accelerated anti-grav particle and it's reaction to gravity.
You have implied that I have both at once and that I can't distinguish between acceleration of them and their reaction to gravity. Which you found to fail, with which I agree.
vanesch said:From the moment that there is ONE single way to do so, the entire structure of special relativity falls apart
Well, no, why? I still have usual diffinvariance, tensor calculus etc for the usual fields. I have additional fields with different transformation behaviour. Their properties are, when transformed the right way, also invariant under coordinate trafos etc.
vanesch said:I can even find out the absolute acceleration of the gravitational field that way, and hence the "background" inertial frame in which this gravitational field is present. And if that's the case, then the entire geometrical picture of gravity as a curved 4-dim spacetime manifold falls apart, no ? Because we now have a NON-CURVED background spacetime on which we have gravity as a field, like any other.
And once we have that, to me, the equivalence principle and from it, the requirement of general covariance, are dead.
I am really sorry, but I can not quite follow your arguments. You can measure the gravitational field, yes. Whether the presence of a field is detected or not does not depend on the particle's nature. Either both notice it, or both don't. They both notice it in a different way though. I don't see how that messes with the geometrical picture of gravity. When space is flat, they both move on the same line, when space is curved they don't *.
B.
* Restrictions apply, but that is a lengthy story.
a permanent job, a husband with a permanent job, children and a house. Add to that a couple of cats and I quit PI. I really don't look forward to yet another move.