Re: Question - Unification

From: Bilge (dubious_at_radioactivex.lebesque-al.net)
Date: 12/23/04 

Date: Thu, 23 Dec 2004 22:51:06 GMT

 Dean:
>What is the explanation for the unification of the Electro-weak and
>Strong Nuclear forces with Electro-magnetism?
 
  The electroweak force _is_ the unification of electromagnetism with
the weak interaction. The ``unification'' of the strong force is more
tenuous since there is no theory which links the strong force to
the electroweak under a single gauge group (or loosely speaking, a
single interaction which explains _all_ of the details of the splitting
in a satisfactory way). However, there do exist connections between the
electroweak and the standard model which indicate that such a group should
exist.
 
>Are they represented as solutions to Maxwell's equations?

   No, although there exist a set of maxwell like relations for each
of those three forces, i.e., there exists a ``charge'' density \rho and
current density, J for each force, although those are not electric
charge and current densities. The equivalent set of maxwell-like
relations for the weak and strong force are rather complicated and
you have more than just four equations to deal with. If I call the
weak and strong ``maxwell relations'', maxwell_w and maxwell_st, then
a simple picture would be that what we hve now are three interactions,

   maxwell_w + maxwell_st + maxwell_em = j_w + j_st + j_em

where maxwell_w = j_w, etc. What we want in a unified scheme is some
combinatin of all of these that gives us a single set of equations,
of the form,

    maxwell_everything = j_everything
    
for which j_everything represents a single kind of ``charge'' and current,
which will not be the electric charge and current in maxwell's equations
for electromagnetism.

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