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Article #4573Space-time IS a semi-Riemannian manifold (?)
From: John C. Baez
Date: Mon, 05 Oct 1992 05:28
Date: Mon, 05 Oct 1992 05:28
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matmcinn@nuscc.nus.sg (Mcinnes B T (Dr)) writes: >No. It isn't unanswerable. If the word "existence" has any meaning at a >all, then time exists. I am amazed at all this talk of time being >"defined" by clocks, at people who speak of spacetime as a "model", at >talk of "temporal" phenomena by people who doubt that time exists. >Spacetime is not "modelled" by semi-riemannian manifolds, it IS such a >manifold. I am awed by your certainty. Many of the best researchers in quantum gravity would dearly like to know whether spacetime is a semi-riemannian manifold. What info do you have that they don't? Barring seances with Einstein's ghost, I would prefer to say "spacetime is well modelled by a semi-riemannian manifold on sufficiently large distance scales." On the other hand, I agree that the idea of time being "defined" by clocks is essentially a cop-out unless one has a good theory of what counts as a clock and why cesium clocks are regarded as "better" clocks than baloney sandwiches. (In other words, although I am of an operationalist bent, I don't think one can weasel out of the issue of time simply by defining time to be that which is measured by that which we build to measure time.) As for whether time "exists," until someone lays out their precise definition of "exists" I will use my everyday sloppy one, according to which time, numbers, baloney sandwiches and societies all exist, even though they are very different sorts of things.
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Newsgroups: sci.physics Path: arc1-ca.pugleaf.net!sparky!uunet!snorkelwacker.mit.edu!galois!riesz!jbaez From: jbaez@riesz.mit.edu (John C. Baez) Subject: Space-time IS a semi-Riemannian manifold (?) Message-ID: <1992Oct5.052820.12186@galois.mit.edu> Sender: news@galois.mit.edu Nntp-Posting-Host: riesz Organization: MIT Department of Mathematics, Cambridge, MA Date: Mon, 5 Oct 92 05:28:20 GMT Lines: 30