There is a huge number of possible permutations of folios (factorial of the number of folios). Finding a seed that would result in a specific pattern by chance (or even billions of tests) is extraordinary. Are these "patterns that don’t happen under any other configuration" really unique and better for 1405 than any other seed? This is unclear to me.
(I wrote this before reading your last post, so okay, "it’s statistically validated.")
The conceptual problem I have is that the number generator seed has nothing to do with anything physical, like a date. It's not as if the lunar phases were generated with accurate astronomic calculation for a range of dates, they are pseudo-random, the random generation sequence was made deterministic by the value of the seed. So 1405 being special feels meaningless even if it works better than any other seed.
I should wait for the article on arXiv, I hope it will explain everything that I don't understand.
(I wrote this before reading your last post, so okay, "it’s statistically validated.")
The conceptual problem I have is that the number generator seed has nothing to do with anything physical, like a date. It's not as if the lunar phases were generated with accurate astronomic calculation for a range of dates, they are pseudo-random, the random generation sequence was made deterministic by the value of the seed. So 1405 being special feels meaningless even if it works better than any other seed.
I should wait for the article on arXiv, I hope it will explain everything that I don't understand.