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- From: platt@watson.ibm.com (Daniel E. Platt)
- Subject: Re: Compelling Mysteries (II)
- Sender: news@watson.ibm.com (NNTP News Poster)
- Message-ID: <1992Nov10.215710.95913@watson.ibm.com>
- Date: Tue, 10 Nov 1992 21:57:10 GMT
- Disclaimer: This posting represents the poster's views, not necessarily those of IBM
- References: <1992Nov10.151421.11274@murdoch.acc.Virginia.EDU> <1992Nov10.183620.483@sei.cmu.edu>
- Nntp-Posting-Host: multifrac.watson.ibm.com
- Organization: IBM T.J. Watson Research Center
- Keywords: compelling, mysteries, partridges and pear trees
- Lines: 84
-
- In article <1992Nov10.183620.483@sei.cmu.edu>, firth@sei.cmu.edu (Robert Firth) writes:
- |> Well, thudding in company with Mr Bass, here are a few of my 'mysteries'
- |>
- |> (a) We had atoms, then subatomic particles, then quarks. Is there an
- |> ultimate structure of matter, or will we find more and more fine structure
- |> for ever?
-
- Depends on if the energy in the universe is finite, or was finite at
- the 'start.' That will tend to apply a lower bound to how small things
- can get.
-
- |>
- |> (b) Why has almost every theory of 'small stuff' since Newton thrown up
- |> these wretched infinities? We have them in gravitation, electrostatics,
- |> classical electrodynamics, and all over quantum physics. Is this the
- |> consequence of a single bogus assumption, and is that assumption indeed
- |> the assumption that spacetime is continuous?
-
- Generally seems to have something to do with trying to get a Green function,
- and that has to do with the shape of things that yield a Gauss' law behavior...
- at least in gravitation, electrostatics, classical electrodynamics. Yet, for
- appropriately distributed stuff, many of those seem to go away, or end up being
- finite afterall. In quantum field theory, it all comes back again... even
- vacuum fluctuations seem to diverge. But then, that can be subtracted as being
- background energy using Wick's theorem (or am I all confused? I vaguely remember
- that time-ordering can be used to remove this, and Wick's theorem deals with
- getting the time-ordering right... but at the least, I'm betraying the time its
- been since I've looke at this kind of material). Even then,
- there will be singularities that pop out... fields may be renormalizable,
- which implies the singularities are such that interactions are big enough
- to change the basic (naive) scaling behavior of physical quantities. This
- can be turned around to talk about what experiments actually measure (vertex
- functions) via a Callen-Symanzik approach. Then there are fields whose
- singularities cannot be dealt with. (I'm probably saying all of this poorly...
- everytime I try to talk about this, I embarrass myself.)
-
- Some of these singluarities are really bad; some of them aren't so profoundly bad.
-
- |>
- |> (c) Are there magnetic monopoles? More importantly, is there a way to
- |> decide this other than by hunting for monopoles - some simpler experiment
- |> that will disprove one model or the other?
- |>
-
- Jackson talks a bit about this in his Electrodynamics... sort of a fun
- article. There are connections, but apparently not enough of one.
-
- |> (d) How sure are we that, in the microcosm, gravitational mass is the
- |> same as inertial mass? How could we ever test this, anyway?
-
- The impact of this question reaches back to question (a)... how much
- do you believe about modern cosmology -- especially with the missing
- mass problem(s)... It all goes back to being able to tell the
- difference between being in an accellerating frame or being in
- a gravitational field. Gravitational red shift should be one way
- to start to get a test, and that's been tested.
-
- |>
- |> (e) Do antiparticles really travel backwards in time? I mean, could you
- |> use the spin state of a positron to send one bit of information into the
- |> past?
-
- The propogators look like they go backwards; the cross-sections for events
- are all calculated in the forward direction. Even so, there's symmetries
- for the + roots and - roots that come from Klein-Gordon and Dirac fields.
- The treatment of those roots, and the concommitant creation and destruction
- operators for each of the field components, leads to the interpretation of
- antiparticles as being time-reversed when you try to draw interactions in
- the form of Feynmann diagrams. I'm not sure I believe it means anything --
- especially since there are some interactions that seem to violate time
- reversal invariance.
-
- |>
- |> Well, enough for one day.
- |>
-
- Ditto...
-
- Dan
- --
- -------------------------------------------------------------------------------
- Daniel E. Platt platt@watson.ibm.com
- The views expressed here do not necessarily reflect those of my employer.
- -------------------------------------------------------------------------------
-