Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.2 9/18/84; site brl-tgr.ARPA Path: utzoo!watmath!clyde!burl!ulysses!allegra!bellcore!decvax!genrad!teddy!panda!talcott!harvard!seismo!brl-tgr!gwyn From: gwyn@brl-tgr.ARPA (Doug Gwyn) Newsgroups: net.physics Subject: Re: open-closed, bounded-unbounded, finite-infinite Message-ID: <7238@brl-tgr.ARPA> Date: Fri, 11-Jan-85 19:05:30 EST Article-I.D.: brl-tgr.7238 Posted: Fri Jan 11 19:05:30 1985 Date-Received: Fri, 18-Jan-85 16:07:44 EST References: <209@talcott.UUCP>, <328@rlgvax.UUCP> Organization: Ballistic Research Lab Lines: 12 > > I would like to hear a discussion of the implications of a closed and/or > > bounded (not the same thing) universe on such issues. I think there is > > something very interesting to be discovered about this.. I apparently need to clarify: I am interested in quantization and conjugate-transform pairs in a closed and/or bounded manifold. To give a simple example, only certain standing waves are possible on the surface of a spherical membrane. I do not care to discuss whether "closed" means "contains all its limit points" or "countains its boundary" or whatever. That is not the thing that interests me about this topic.