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- From: brahm@cco.caltech.edu (David E. Brahm)
- Newsgroups: sci.physics
- Subject: Re: Home made monopoles
- Summary: A general rule about stability, and how to violate it
- Message-ID: <1k761dINNkf4@gap.caltech.edu>
- Date: 27 Jan 93 23:31:57 GMT
- References: <728137681.AA00483@cheswicks.toadnet.org>
- Organization: California Institute of Technology, Pasadena
- Lines: 31
- NNTP-Posting-Host: punisher.caltech.edu
-
- John.Brawley@p1.f9.n8012.z86.toadnet.org (John Brawley) writes:
- > ...I wanted to make a "floating ball" that sat in a concave all-(south or
- > north) "dish" shaped field (no problem), and had all the outside of the
- > sphere the same polarity. I wasn't trying to make a monopole...
-
- You not only wanted to make a monopole (the sphere), you wanted to make a
- ("dish-shaped") field in which all field lines converged to a stable point
- without putting a source at that point! You can't do that even with
- electric fields (or electric fields plus gravity). Gauss's Law(s)
- generically disallow any such static "floating" constructions, to wit:
- | (*1*) No static (electro-magnetic-gravitational) field configuration |
- | in empty space will hold an object in stable equilibrium. |
-
- Yet, almost the very object you describe, a "floating globe", is sold in
- novelty stores (for $200 or so). The clever designers used non-static
- fields, which get feedback from the globe's position. Also, a magnet will
- float stably above a superconductor, which somehow manages to pull the same
- stunt automatically, without any clever designers.
-
- Here's my question, then: Put an electron in a bowl; by (*1*) there is no
- point where it can sit stably, i.e. del.(qE+mg)=0 everywhere. Yet I think
- it just sits there anyway (?). Furthermore, a book is just a collection
- of nucleons and electrons; it floats stably a few Angstroms above my desk,
- no problem. Where does (*1*) break down? Is QM at work here?
-
- --
- Staccato signals of constant information, | David Brahm, physicist
- A loose affiliation of millionaires and | (brahm@cco.caltech.edu)
- billionaires and Baby ... |---- Carpe Post Meridiem! --
- These are the days of miracle and wonder, | Disclaimer: I only speak
- And don't cry, Baby, don't cry, don't cry. | for the sensible folks.
-