Yes, that’s pretty much what I though. The problem here is that we’re limited by the imprecise knowledge of the Hubble constant/radius of the universe. That’s why I wanted to know if there is a ~ known mechanism that could hide behind this observation. I presumed that this coincidence is known and explained away but I found nothing. Only that the minimum length, time and volumes in the universe almost match the estimates of Stephen Wolfram (based on an independent method).

What bothers me the most is that it holds true just about now, it didn’t hold true before and will never be true for ~ infinity (according to ΛCDM). It also almost satisfies I went looking for something like this because I noticed that the square of the diameter of the universe (~ 8×10^53 m^2) is almost the same as its mass (in kg) and I’d like to know if there is a some kind of mechanism behind this. I really don’t like the fact that it works in kg/m.

Thanks for your answer!

]]>The thing with coincidences like this is, you have to ask yourself how much of a surprise is it? How likely is is that you can find coincidences like this just by looking at some random numbers? My estimate is that it is not a surprise at all, and that it is easy to come up with coincidences like this.

When I look at numerical coincidences, first of all I need to have a good reason why such a coincidence should exist at all. Second of all, I don’t even bother thinking about it until I get down to about a 1 in a million chance, and I don’t write about it until it’s down to one in a billion. And I don’t send off a paper to a journal until it’s nearer 1 in a billion billion.

]]>If one equates the Compton wavelength of a particle with the Hubble radius, one gets what some people call the Hubble scale (or the inverse Hubble scale) with minimal mass of 9.1×10^-33 eV/1.62×10^-68 kg and a volume of 1.75×10^-285 m^3. This gives us about 2.10×10^365 elementary volumes in the universe at present (with error related to the Hubble constant, tension… about 15 %). Now, the direct product of all the 26 sporadic groups is ~ 2.32×10^365. Almost the same value! What’s more, the cube root of the product is ~ 6×10^121 which if taken in the elementary masses is just below 10^54 kg – coincidentaly the estimated baryonic + dark matter content of the universe (+/- 10 %). I feel that this is too much for it to be a mere coincidence.

Thank you very much for any kind of response!!! Since nobody (so far) has been able to react to this. ]]>