Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP
Path: utzoo!watmath!clyde!burl!ulysses!mhuxl!houxm!vax135!cornell!uw-beaver!tektronix!hplabs!sri-unix!dnc%dartmouth.csnet@csnet-relay.arpa
From: dnc%dartmouth.csnet@csnet-relay.arpa
Newsgroups: net.physics
Subject: Re: passing <large amouts of information through> water
Message-ID: <13306@sri-arpa.UUCP>
Date: Sat, 8-Sep-84 18:26:07 EDT
Article-I.D.: sri-arpa.13306
Posted: Sat Sep  8 18:26:07 1984
Date-Received: Fri, 14-Sep-84 08:34:42 EDT
Lines: 33

From:  David Crespo <dnc%dartmouth.csnet@csnet-relay.arpa>

john:
     thank you for the reply. 
     the original question, if i am not mistaken, was about
     a propagator term in a lagrangian and why it had to be
     sqr(-1)(=i), or have i as a factor. After looking at
     Lurie Particles and Fields (i.e. by Lurie) which has 
     an advanced formulation of Hamiltonians, Lagrangians,
     and Noether's Thm., as well of Feynman Diagrams and
     propogators, and a large number of pages in between, 
     i am grateful for your lucid and brief answer. 
     if there were a last prime, it would be less than 
     the product of "all" the primes + 1, which must be a
     prime. 
     you answer raises a question about whether there are
     any of these more complex rings with finite/infinite
     number of primes. must they all be well ordered (have
     >,<,= defined (is this a part of being a ring?) )
     (a friend of mine told me that in z[sqr(5)] the number
     nine has two prime factorizations (!!!) but i got a
     little lost when he tried to explain z[sqr(5)]...
     or maybe it was 8? now, THAT's weird! no, i think it was 14
     into ...9 into 14+sqr(5) x 14-sqr(5), where each of htese is
     prime in z[r5]. 
     of course i don't expect you to have the answer to these 
     questions, but i am going to
     get an algebra book (MacLaine and Birkhoff?) and find out.
     (if it's been found out) Also the mechanics book. 
     again, gracias for the clues, onward ho. 
 
     dnc @ dartmouth