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- Newsgroups: sci.physics
- Path: sparky!uunet!snorkelwacker.mit.edu!galois!euclid!jbaez
- From: jbaez@euclid.mit.edu (John C. Baez)
- Subject: Re: Volume occupation
- Message-ID: <1992Aug17.195242.19136@galois.mit.edu>
- Sender: news@galois.mit.edu
- Nntp-Posting-Host: euclid
- Organization: MIT Department of Mathematics, Cambridge, MA
- References: <keXkdGi00aw=8OgEVs@andrew.cmu.edu>
- Date: Mon, 17 Aug 92 19:52:42 GMT
- Lines: 36
-
- In article <keXkdGi00aw=8OgEVs@andrew.cmu.edu> ag3l+@andrew.cmu.edu (Arun K. Gupta) writes:
- >
- >>From: sichase@csa2.lbl.gov (SCOTT I CHASE)
- >>Subject: Re: Volume occupation (was Re: Vector Bosons?)
- >>Date: 16 Aug 92 19:40:55 GMT
- >>
- >>In article <1992Aug16.013415.3630@cerberus.ulaval.ca>, yergeau@cornu.phy.ulaval.ca (Francois Yergeau) writes...
- >>>
- >>>I countered that plain electrostatic interaction must come before that,
- >>>making the following argument: forget about spin, and solve the good
- >>>old Schrodinger equation for a hydrogen atom. You get a nice
- >>>non-collapsing ground state that occupies some space. Add more
- >>>electrons and protons, resolve and lo, the occupied volume grows.
- >>>
- >>>Anyone cares to comment?
- >>
- >>Sure. I agree 100%. Even without the exclusion principle, EM repulsion
- >>would keep your chair leg from passing through the floor - but chemistry
- >>would be so different that trees would not likely exist from which to
- >>make the table.
-
- >It is not at all clear to me that in a bosonic-electron system, the electrons
- >will not all occupy one state, not very much larger than a few atomic orbitals
- >in spatial extent, with the nuclei all very close to this very dense negatively
- >charged cloud. That is bosonic electrons would very effectively screen the
- >nuclear charge and this matter would be very much more dense than normal
- >matter. Nor is it obvious that the volume of matter will be prop-
- >oitional to the number of atoms.
-
- Again, I seem to remember that the famous work of Dyson and Lieb on the
- stability of matter (which has been continued by many people since)
- implies that matter would not be at all stable if electrons were bosons.
- Don't tell me I should actually look this stuff up again! One can
- always try Thirring's multivolume Course in Mathematical Physics. My
- unreliable memory indicates that Gupta is right: if electrons were
- bosons the earth would be much much smaller than it is.
-