turbo-1 said:
He said in part "The fact that the general theory of relativity has no preferred space-time coordinates which stand in a determinate relation to the metric is more a characteristic of the mathematical form of the theory than of its physical content."
Looking at the context on p. 17-18, I don't think the first quote is talking about the issue of a single preferred frame at all, when he says "no preferred space-time coordinates" I think he's comparing it to special relativity which has a
family of preferred coordinate systems, namely the inertial frames (see the preceding discussion on p. 17 where he talks about the specialness of inertial coordinate systems in SR); so in that quote I think he's talking talking about the fact that general relativity is stated in a "generally covariant" form which works the same in
all coordinate systems, but as I talked about in post #8 on
this thread, it was indeed realized after Einstein formulated this principle that it was really more a feature of the mathematical formulation, and not a physical feature, because it's possible to rewrite
any theory (including Newtonian mechanics) in a generally covariant tensor form which will work in arbitrary coordinate systems.
turbo-1 said:
and
"The metric tensor which determines both the gravitational and inertial phenomena on the one hand and the tensor of the electromagnetic field on the other, still appear as fundamentally different expressions of the state of the ether: but their logical independence is probably more to be attributed to the imperfection of our theoretical edifice than to a complex structure of reality itself."
This second quote from p. 18 doesn't talk about the issue of a preferred frame at all, I think he's talking about the issue of whether gravity and electromagnetism can be unified or whether they're two separate forces (note that the preceding sentence is 'Furthermore, in my opinion, we have not as yet succeeded in going beyond a superficial integration of the electromagnetic forces into the general scheme of relativity', so it's clear he's making a speculative comment about the idea that in the future we might find a new theory which unifies them, perhaps by treating electromagnetism in terms of curved spacetime as in the
Kaluza-Klein theory). He does state this idea in terms of "ether", but throughout the paper it's clear that he's using the word "ether" just to refer to the notion of space having intrinsic properties and fields associated with it, without implying the additional notion that there is a single preferred frame as in pre-relativistic notions of the ether. I note that on p. 17 he says:
In this way the Maxwell-Lorentz theory finally influenced our understanding of the theoretical foundations of physics to such an extent that it led to the founding of the special theory of relativity. It was realized that the electromagnetic equations do not in truth determine a particular state of motion, but that, in accordance with these equations--just as in classical mechanics--there is an infinite manifold of coordinate systems, moving uniformly with respect to each other, and all on a par, so long as one applies suitable transformation formulae for the space coordinates and the time. It is well known that this realization brought about a deep modification of kinematics and dynamics as a result. The ether of electrodynamics now no longer had any special or particular state of motion. It had the effect, like the ether of classical mechanics, of giving preference not to a particular state of motion, but only to a particular state of acceleration.
So, I think you've misinterpreted the two quotes you posted if you thought Einstein was suggesting an ether with a single preferred rest frame, and I think he makes it clear in the article that he
isn't defining "ether" in this way.