I'd like to know the assumptions cosmologist use when they give a timeline of temperature, density, and size of the universe from $T=0$ to $T=$ a few minutes later, as Steven Weinberg did in his book, "The First Three Minutes". Specifically, do they use an estimate of the total mass of the Universe, the rate at which the Universe is expanding, the shape of the Universe, or, are some or all of these unnecessary? If they are needed, what are their values?
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