Dear Ken,
Thank you so much for your posts. It means an awful lot knowing that you feel you've benefitted from this exchange, as I certainly have. Honestly, I really hope we can continue to agree to disagree, because for me it's all about getting things right, and being precise and careful at every step is such a huge part of that. In that regard, I don't know if it could be more beneficial than to have an opponent who truly understands and can appreciate both sides of the argument for what they are.
I have some specific responses to what you wrote. Copying isn't working on my phone, so I'll only quote a few words.
>if there is a cosmic rest frame...
Is a whole 3d space that exists any more non-local than a 4d block that 'exists'? Also, Shelly Goldstein sure gave a persuasive argument last night in favour of Bohmian mechanics.
>And it would seem to be rather convoluted...
Do you have Hawking and Ellis handy? Can you flip to the section on spherically symmetric gravitational collapse? It refers to observers O and O', and there's an E-F diagram... Consider the implicit definition of time that's being used--I.e. the variable they use to refer to time's passage. You know I think there's an objective time variable for the whole universe. It's not the E-F advanced time parameter. In any case, I think we both agree that descriptions of actual temporal passage are inconsistent with einsteinian notions of the relativity of simultaneity, which is what they're implicitly assuming--I.e. they give a dynamical account of temporal passage while assuming a physical definition of simultaneity that's inconsistent with that.
Now look at the statical coordination of de sitter space in the images I posted above. The r coordinate becomes imaginary at the coordinate singularity. It's simply no good after that, for all t. I talked about this with Gordon Belot today, and he thought Felix Klein showed that this was the right way of interpreting the line element. I actually think the Schwarzschild 'event horizon' is also such a coordinate singularity. Remember, I think space-time is globally hyperbolic at a fundamental level.
Now, to get back to the E-F description. Do you have Kip Thorne's black holes and time warps? He recalls a conversation with Lipschitz, where he called Finkelstein's paper a revelation that lifted a fog (or something like that). It was what convinced Wheeler that black holes exist, etc.
Personally, I find all of this convoluted. I think you can only have my sense of existence or your sense of 'existence' and neither admits of the dynamical emergence of black holes in the universe. I think it's entirely inconsistent.
>I'll note without comment...
Ah, but I'm allowed to conduct my thought experiments assuming absolute simultaneity in the Earth's rest-frame due to the principle of relativity. The important thing in assuming a cosmic rest-frame is whether the empirical evidence supports that. Right?
>Finally, I will caution... (whole paragraph)
:) Can I say I feel justified to be just a little snobbish about these things, insofar as I personally think a non-existential definition of "exist" (and all other verbs) is a convoluted and misleading way of speaking, which has led to a mountain of confusion (by the way, a good chunk of my essay is devoted to discussing this)?
Again, thank you so much for discussing all of this. I can't tell you how much it means to have the opportunity to debate with you. It's been very clarifying. By the way, do you think Greene is really thinking non-existentially about the block? It seems to me in the quote I posted below, that he's really emphasizing the block's existence.
Best regards,
Daryl