Something which has always bugged me about the standard model is how can we approximate the age of the universe, when at the beginning, the incredible density would dilate time to the point to where proper time since would approach infinity? Which reference frame are we talking about? Further, if it is truly space which is expanding, and not massive particles moving further away from each other, an observer frame outside the curvature would not exist in the physical universe at the time in question. Another question I have is how might the Planck length be affected in such a dramatically curved space-time?

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