Chris Hillman
Science Advisor
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vanesch said:The few relativists I know take - as far as I understood them - the spacetime manifold as "real" (ontological).
Are you sure about that? Did you ever politely but firmly interrogate them about their ontological attitude toward spacetime models? I would be quite amazed if any specialists in gtr truly believe that our universe is literally a Lorentzian manifold. C.f. "quantum foam" and all that.
(If you assiduously Google for my posts to UseNet and elsewhere years ago, you can probably verify that in previous comments I have noted a rare emotional outburst by Chandrasekhar in which he seemed to say that he was awed by the realization that the exterior of a black hole in Nature is literally a Kerr spacetime [sic]. Since he was an expert on perturbations, he can't possibly have believed any such thing, but since he is dead, I can't ask what he did mean, so I think it best we shrug helplessly and move on.)
vanesch said:No, not at all, I'm not that sophisticated (although I vaguely understand what you are alluding to). I was alluding to the "static spacetime manifold block universe" which, I thought, was used in interpretational issues with GR - but given your earlier paragraph, this point is moot.
I'll go out on a limb and guess that you often read hep-th papers but rarely read gr-qc papers. I, OTH, often read gr-qc papers but rarely read hep-th papers. I will guess further that whatever you read (perhaps in a section discussing some aspect of the "philosophy of spacetime"?) about "block universe" might refer to a decomposition of a Lorentzian four-manifold as a disjoint union of infinitely many spacelike hyperslices (Riemannian three-manifolds). If so, I still don't understand the question "why do I observe only one hyperslice?"
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