Interesting, Eric.  I've never heard of inflation being attributed to the
Higg's boson.  The concept of inflation was first cooked up as a fudge to
explain the observed size of the fluctuations in the cosmic background
radiation.  I've never heard of anybody claiming to be able to explain the
mechanism of inflation.

--Doug


On Tue, Apr 23, 2013 at 3:08 PM, Eric Smith <[email protected]> wrote:

> Hi Doug,
>
> I know this isn't the main point of the thread, and perhaps already stuff
> you know, in which case apologies for redundancy:
>
> >  Even the events after that instant of the big bang, where it is
> postulated that our universe expanded from sub-atomic dimensions, through
> inflation (inflation? WTF caused that?)
>
> I think current understanding of inflation and the cosmological constant
> have all grown out of the way we think about the Higgs mechanism and the
> energy in the vacuum.  I did have a chance to ask a real cosmologist this
> to be sure I wasn't mistaken, and I believe what I will say below is right.
>
> The point of Higgs was that the vacuum underwent a freezing transition as
> it cooled, in one of the "bowl-to-mexican-hat" potentials that one always
> sees illustrated in explanations of magnetization etc.  (keyword for a
> google search would be Spontaneous Symmetry Breaking, and apologies that I
> can't write more here, since I should be working).  The general kind of
> freezing mechanism is used for a lot of stuff and reasonably well
> understood (understanding why pi mesons are "roughly" massless, how
> magnetization forms, etc.)   The interesting thing is that the massless
> particle that should have been formed when the Higgs vacuum froze was
> "eaten" (as they say in the jargon) by the previously-massless weak bosons
> because it had weak charge, and that made them massive.  (Keyword here
> would be interaction of gauge fields with Goldstone bosons.)
>
> But all that is essentially background.  The point for this discussion is
> that when the vacuum could be frozen into the low-energy "rim" of the hat,
> but starts out on the high-energy center (the part where the crown of your
> head goes), it has energy to give.  If it can succeed in freezing, that
> creates a shower of massive matter.  But if it is delayed in collapsing to
> the frozen vacuum, like water that is supercooled before it can freeze into
> its proper crystal, that excess vacuum energy becomes a source of stress
> energy-momentum for gravitation.  That stress energy momentum is the
> cosmological constant, and it drives exponential expansion.  Since the
> Higgs is a very high-energy-scale field (on people-scales), the
> cosmological constant associated with not-yet-having-relaxed is huge.  I
> don't know whether inflation people still think it was the Higgs of the
> weak boson that drove initial inflation, but I believe that was the
> proposal back when Alan Guth was working on these things.
>
> In that parlance, the current small-but-not-zero cosmological constant is
> a tiny residual vacuum energy-momentum that hasn't succeeded in relaxing
> away into a more stable, truly zero-energy, vacuum.
>
> This is probably not a great answer to the question of what caused
> inflation, but to the extent that having melted the vacuum to see the
> un-frozen Higgs as a particle seems to get everything right that we can
> measure, from only this minimal model, it is hard to see from here what
> would guide us to a more thorough characterization.
>
> It is remarkable, though, that the vacuum can have un-relaxed energy.  I
> should understand these things better than I do, but I was a bad student
> when I should have been learning them.
>
> Eric
>
>
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-- 
*Doug Roberts
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