Combinatorial hierarchy

[stefjm]

Bonjour,

Pour la nouvelle année, un peu de physique avec des nombres dedant...

https://en.wikipedia.org/wiki/Combinatorial_hierarchy

As described by Bastin et al.,^[3] the hierarchy is generated as the cumulative sum of the sequence 3, 7, 127, 2¹²⁷ − 1. This sequence is generated by starting from 3 and taking the next number to be 2 to the previous number less 1. (These are the four known odd Catalan–Mersenne primes.) The cumulative sum is therefore 3, 10, 137, 2¹²⁷ + 136. The paper claims that the reciprocals of the latter quantities give the relative strengths of the strong, weak, electromagnetic, and gravitational forces, and that the sequence ends there because the next entry would create instability.

In a 2001 paper by Noyes, evidence was presented for predictions made by the theory that were later confirmed.<sup>[4]

https://www.slac.stanford.edu/cgi-bi...c-pub-8779.pdf

Cordialement</sup>


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