- #1

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I just started studying cosmology recently using several book and especially using

TASI Lectures on Inflation(https://arxiv.org/abs/0907.5424)

On page 25 the fine tuning problem of the flatness is introduced with conditions as

|Ω(BBN)-1|≤ ο(10

^{-16})

|Ω(GUT)-1|≤ ο(10

^{-55})

|Ω(pl)-1|≤ ο(10

^{-61})

My first question is how to derive this condition

The second would be page 34 where the number of inflationary e-folds were introduced and simply put that it must be more than 60 to solve the flatness and horizon problems

I was unable to derive this also

Furthermore I suppose that these conditions are derived from observations

It would be great if I could calculate these conditions a bit more exact using recent data...

Thank you for your time