# precision cosmology

07 Mar 2012a question for the era of precision cosmology… future surveys such as EUCLID and PLANCK are designed to yield almost \(10^{-4}\) precision on the cosmological parameters \(\Omega_m\) and \(H_0\) (in a reasonably simple model). at the same time table-top experiments constrain the gravitational constant \(G\) to a similar precision (it’s a bit scary to realise that \(G\) is the least known constant of Nature with only 4 significant digits!). would it make sense to improve cosmological measurements without improving on the gravitational constant?

bonus question: what’s the asymptotic behaviour of \(\frac{d}{dx}\left(\frac{1}{x}\right)^\frac{1}{x}\) for large \(x\)?