home *** CD-ROM | disk | FTP | other *** search
- Newsgroups: sci.physics
- Path: sparky!uunet!snorkelwacker.mit.edu!galois!riesz!jbaez
- From: jbaez@riesz.mit.edu (John C. Baez)
- Subject: Re: Some physics questions
- Message-ID: <1992Nov7.190754.22833@galois.mit.edu>
- Sender: news@galois.mit.edu
- Nntp-Posting-Host: riesz
- Organization: MIT Department of Mathematics, Cambridge, MA
- References: <5NOV199211284285@csa2.lbl.gov> <1992Nov6.175022.13136@galois.mit.edu> <6NOV199212364099@csa1.lbl.gov>
- Distribution: na
- Date: Sat, 7 Nov 92 19:07:54 GMT
- Lines: 32
-
- In article <6NOV199212364099@csa1.lbl.gov> sichase@csa1.lbl.gov (SCOTT I CHASE) writes:
- >In article <1992Nov6.175022.13136@galois.mit.edu>, jbaez@riesz.mit.edu (John C. Baez) writes...
- >>
- >>As the rest of my post indicated, that wasn't the part that I don't
- >>buy!! I can imagine a theory that predicts mixing angles, but not a
- >>theory that predicts the speed of light (in any exciting sense - see my
- >>previous post).
- >
- >Why not? What makes the speed of light any more fundamental than the charge
- >of an electron, or the electroweak mixing angle? And even if it's more
- >fundamental, what prevents you, in principle, from developing a theory which
- >predicts the speed of light?
-
- Gee, you didn't seem to have read the post I referred to. I didn't say
- that the reason was just that the speed of light is "more
- fundamental" than mixing angles. The reason has to do with the fact
- that c is dimensionful while the mixing angles are dimensionless. One
- has at least 3 degrees of freedom in choosing units (mass, length,
- time), and this means that 3 dimensionful constants of nature can freely
- be set to 1. (I defer discussion as to whether charge and temperature
- should raise the total to 5.) There's nothing especially sacred about
- the choice of c, hbar, and G as the three to use. My point is that the
- closest we can come to "explaining" the speed of light is to explain the
- (dimensionless) ratio of c to some other speed (possibly one concocted
- by multiplying together all sorts of constants of nature, but let's just
- call this other speed "the speed of dark"). One can think of the
- explanation of this ratio as being an explanation of the speed of light
- (if you think the speed of dark is "more fundamental") or as an
- explanation of the speed of dark (if you think of the speed of light as
- "more fundamental"). My hunch is that if this takes place, people will
- call it an explanation of the speed of dark. But my real point is that
- one can't hope to explain ALL dimensionful constants of nature.
-