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Incidentally, Louise Riofrio's value for the baryonic matter density fraction is 1 - 3/π, which would leave dark matter as 4/π - 1...
Interesting, and answers a question I recently asked of the new hmap data. I have always regarded the inverse of pi which I called inertial pi as a significant space value.L. Edgar Otto I wonder how Ms Riofrio will comment on this.
You might appreciate the fact that this new dark-energy fraction is approximated not only by 1-1/π, but also by ln 2 (the latter was noticed by A. Garces Doz). So ln 2 + 1/π is approximately 1, and these quantities also approximately correspond to "dark energy' and "everything else".
The next thing I know, the answer to life, the universe and everything will be not 42, but Jenny's Constant.
I see that I failed to record my own favorite Planck-inspired (and Sheppeard-inspired) numerology, which is that that the density fractions for dark energy, dark matter, and baryonic matter, are approximately 2/3, 2/9, 2/27 (which are the Koide phases of s-c-b, e-mu-tau, and u-c-t respectively). But probably no version of these ideas makes sense, in anything like standard cosmology, because there, the density fractions evolve drastically with time.
Although if Wetterich's shrinking universe is possible (talk), anything is possible.
Another approach would be to focus on the 9:3:1 ratio. Which is rather approximate, but then the estimated density fractions themselves are somewhat model-dependent. I can imagine a relatively mainstream model producing a ratio of the form x^2:x:1...
This was independently discovered by a Physics Stack Exchange user, "bonkers", around 8 April 2016, but the post has been deleted.