[rosseitsa]

Really curious, how do you quantify "close" in such numeric ranges?

Quick calculations say that ratio is 1.71:1 (https://rentry.co/k85wy696). I guess given the scale of the numbers having such a low ratio is interesting.

But my intuition says that in physics constants are scattered in a sort of logarithmic way, i.e. the orders of magnitude are uniformly scattered in some range. So small ratios between such constants not impossibly rare.

I may be full of shit though!

[quantadev]

I admit I haven't run the calculation myself, nor even asked OpenAI (or other AI, which are almost certainly capable of doing it), but I heard a presentation say the number is off by a factor of 3. To me '3' is best described as "no where near an order of magnitude". Since there's no way we're measuring the radius of the universe nor the mass in it accurately, I think being off by only a factor of 3 is astoundingly "accurate". When you're dealing with many many orders of magnitude like these astronomically large numbers, and you end up being only off by 3x that's actually pretty close. Too close to be an accident. If the theory was "wrong" it would be off by many orders of magnitude.