Haelfix
Science Advisor
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Old Smuggler said:But what does the variation of the X-field depend on? Is there a theory of the X-field in flat
space-time? It seems that all you have done, is to transfer the problems of varying alpha to the X-field.
The problem isn't introducing this field, indeed such things show up in HEP theories all the time, as Quant explained. The problem is explaining why it's natural.
If the field is massive and cosmological in origin, you expect that the physics that originated it occurred sometime in the very early universe. The typical mass scale would be, say grand unification or Planck scales. The problem is that such a field would give totally negligable contributions in experimental searches in ordinary galactic physics, so that probably isn't what is responsible.
Really, what you need is a field that is massless or almost massless, and you want it to be very slowly varying (so that it doesn't produce completely ridiculous physics). Now if the field was massless or almost massless, you do run the risk of introducing new (real or apparent) long range forces that would *likely* start running afoul of solar system equivalence principle tests.
http://arxiv.org/abs/hep-ph/0111282
However there is a bit of a tightrope that you can walk in this sort of game, but typically it comes with steep phenomenological baggage and or arbitrary tweaking. All this is general, the additional problem faced with changing alpha, is to explain why the physics only targets this coupling constant and not the others. Prima facie, it requires a terribly adhoc and explicit symmetry breaking term but anyway I digress.
The point is, if the result is true (and I am skeptical of course given the dirty business and complications in measuring quasar spectral line's and controlling the possible systematics), it's goign to be rather unlovely to explain theoretically.