Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.3 4.3bsd-beta 6/6/85; site ucbvax.BERKELEY.EDU Path: utzoo!watmath!clyde!burl!ulysses!ucbvax!brahms!weemba From: weemba@brahms.BERKELEY.EDU (Matthew P. Wiener) Newsgroups: net.physics Subject: Re: Bogus physics reamplified Message-ID: <12702@ucbvax.BERKELEY.EDU> Date: Thu, 27-Mar-86 01:26:47 EST Article-I.D.: ucbvax.12702 Posted: Thu Mar 27 01:26:47 1986 Date-Received: Fri, 28-Mar-86 05:50:26 EST References: <368@ihnet.UUCP> <2057@jhunix.UUCP> <2874@sjuvax.UUCP> Sender: usenet@ucbvax.BERKELEY.EDU Reply-To: weemba@brahms.UUCP (Matthew P. Wiener) Distribution: net Organization: University of California, Berkeley Lines: 30 Keywords: general relativity, justifying assertions, name-calling In article <854@lanl.ARPA> jlg@a.UUCP (Jim Giles) writes: >>In article <556@lanl.ARPA> jlg@a.UUCP (Jim Giles) writes: >>>Note: I have always said 'local reference frame', which in GR is ALWAYS >>>a Lorentz frame. ^^^^^^^ ^^^^^ > "... The geometry of spacetime is locally Lorentzian everywhere." ^^^^^^^^^^ Lorentz frame is not the same as Lorentzian geometry. And your assertion is completely false as stated. >The emphasis is theirs. There is, therefore a local Lorentzian frame >everywhere (actually, an infinity of them). On page 23 the text goes on >"... these theorems [about spacetime] rise above all coordinate systems in >their content. They refer to intervals or distances." "All coordinate >systems" here refers to the infinity of available Lorentzian frames which >you might select for computational purposes. Any non-Lorentzian coordinate >system causes the theorems in question to be completely reformulated for >that system (mainly because the metric (a word which actually doesn't >appear yet) is no longer valid - intervals don't behave properly in a >non-Lorentzian coordinate system). Read what you just quoted. There are no non-Lorentzian coordinate systems in a Lorentzian geometry. But whatever you are talking about, the theorems in question rise above coordinate systems, just like MTW said in your quote, and unlike your last sentence. If a law or theorem is expressed in covariant form, ie with tensors, it is true in all coordinate frames. That is why we use tensors in the first place: to identify the underlying geometric meaning behind the coordinate systems. ucbvax!brahms!weemba Matthew P Wiener/UCB Math Dept/Berkeley CA 94720