I'm not sure it really matters if we have particles or not, as I understand it GR works on mass/energy so there is still gravity before the "fireball" cools enough for particles to form. I may be wrong on this though.Here's where I'm having a problem with the expansion issue. Assuming that even subatomic particles have "mass", then the mass and gravitational force of the universe would have swallowed up everything the moment things got started without some undefined force to "push" the whole thing outward. A handwave here is going to look mighty suspicious.
The solution to this point is actually fairly simple, the Universe at the BB starts expanding with a given expansion velocity, we can't really say why because known physics breaks down close to the start of the expansion. Anyway the Universe starts with some expansion velocity, so it can't simply just collapse, the gravity has to first slow the expansion and then reverse it. How quickly (or if it happens at all) depends on if there is enough mass/energy to overcome the expansion. It doesnt require any constant force, just something to start the expansion off.
What I was asking here was if you accept that we understand QM, that we understand the physics of QM fluctuations, regardless of inflation.You misunderstand. The quantum fluctuations present before inflation are very well understood, we know they exist and we know how they behave. You would agree with this?
Absolutely not. In fact I would say that is a complete statement of faith on your part. It assumes there was an inflation stage in the first place.
I can see your still having issues with inflation, now it does make sense, but at another level it isnt that important, we could just treat everything before inflation as a black box. We could say right if we have a situation where the universe starts out at a certain size and there are inhomogeneities in the mass distribution. These inhomogenieties have a distribution that appears to follow a Gaussian probability distribution. The Universe is expanding at some rate what do we see? Essentially nothing has changed to the theory except we leave the explanation for what causes the inhomogeneities to the realm of "Here be Dragons".
I find that sort of unsatisfactory so lets have another bash at explaining things better.
Imagine the very early Universe before inflation, all there is a black body radiation of unbelievable temperature, because of QM the entire Universe is not perfectly the same temperature, some parts are slightly hotter or colder, because the Universe is so small at this point these fluctuations actually cover a large fraction of the Universe, the distribution of the temperatures follows some Gaussian distribution.
Now image two possible scenarios:
1) The U continues to expand at a constant rate, as it expands the cools, the gaussian fluctuations have time to cancel out on large scales, though new ones are formed in the microscopic realm. So what you end up with after billions of years is a Universe that is perfectly smooth on large scales, because the gaussian fluctuations are confined to their micorscopic world because they do not last very long. The Universe beacuse it is perfectly smooth has a perfectly smooth mass distribution which makes it impossible for structure to form, at least on a reasonable timescale.
2) The Universe suddenly undergoes a rapid expansion, so fast in fact that the gaussian fluctuations that were microscopic get blown up to macroscopic scales. This extra expansion then cuts out. The temperature of course drops and where it is lower less mass forms, and where it is higher more forms, leading naturally to the Gaussian distributions of structure we see. In this way we link known QMs to large scale structure, without which we would have problems explaining why the Universe isnt perfectly smooth.
The point is that if the expansion is not rapid the fluctuations have time to reorder to remain on the microscopic level, making the Universe appear smooth. This breaks no laws of physics as long as you have some way of producing the inflation period, whether that is believable or not is up to you.
My understanding of Guths fields is somewhat analagous to the idea of a cosmological constant. That space itself has some repulsive force, so that the density of the field remains the same, but that the expansion obviously acts exponentially, so once the U has doubled in volume there is 4 times the expansion etc. This only applies to the inflation field though, The matter in the Universe behaves normally.That would be fine actually, but that isn't what Guth suggested when he suggested inflaton fields. Guth suggested that the density of these fields was preserved through several exponential increases in volume. No other scalar or vector field in nature behaves that way, though they do behave the way you just suggested.
Inflation is an interesting and elegant solution, its problems really stem from the fact that there are so many competing mathematical descriptions of it that it may prove very difficult to see if any actually fit what we can see in the Universe.