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New Identical Particles
A metal is a collective thing. You can't really talk about individual electrons. Instead, the metal is a sort of lattice surrounded by strange "gas" of electrons. Inside the metal the charge is on the average zero - all the free charge moves to the surface almost instantly (this is why you are safe inside a car or a Saturn V that gets hit by lightning) and can be siphoned off to ground without changing anything inside. But the lattice centers of a pure elemental metal are positively charged - the nuclei - and the equal and opposite charge of electrons adopts a mass collective behavior and interaction with this lattice that is completely unclassical because you can't describe it as an ensemble of simply countable things (Maxwell-Boltzman statistics). Instead they obey a weird antisymmetry under interchange (Fermi-Diracs statistics). The statistical behavior of large numbers of Fermions simply cannot be understood by any classical analogy.

Charge and spin are, in four dimensions, independent ideas. Spin (angular momentum in general) is a more fundamental idea, like mass, that has to do with the invariance ideas that give order to spacetime. You can say, spin is kinematical (connected with spacetime invariance), while charge is dynamical (connected with invariance of electromagnetism under a class of "gauge transformations"). Interestingly, you can extend the world from 3+1 dimensions to 3+3 and suddenly charge is an aspect of angular momentum in the bigger space. A unification like this is called a "decontraction" and resembles the unfication of electricity and magnetism on "decontracting" space and time.
New *smile* Good to see you posting again...

Imric's Tips for Living
  • Paranoia Is a Survival Trait
  • Pessimists are never disappointed - but sometimes, if they are very lucky, they can be pleasantly surprised...
  • Even though everyone is out to get you, it doesn't matter unless you let them win.
New If you ever do a Hawking and publish a readable book..
... do us a favour and let us know, huh? :-)

Wade.

"Ah. One of the difficult questions."

     Electricity and electron spin - (admin) - (11)
         Wouldn't expect it to with AC generation - (SpiceWare) - (1)
             Why AC is more efficient - (ben_tilly)
         He's mixing things up. - (Another Scott) - (1)
             Well, spin does have a related effect... - (admin)
         Re: Electricity and electron spin - (admin)
         Your self-proclaimed "expert" is a jackass - (ben_tilly) - (2)
             Is it all relative? - (tablizer) - (1)
                 Sorry. We can tell - (ben_tilly)
         Identical Particles - (deSitter) - (2)
             *smile* Good to see you posting again... -NT - (imric)
             If you ever do a Hawking and publish a readable book.. - (static)

My days of not taking you seriously are certainly coming to a middle.
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