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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[stefjm]

Personne en 4 ans?

[coussin]

En tout cas, en 4 ans les 2 liens (wikipedia et stanford) sont maintenant morts...

[ThM55]

Donc le problème est résolu sans effort, simplement en attendant.

[A voir en vidéo sur Futura]

[stefjm]

On trouve les articles dans les revues.
https://link.springer.com/article/10.1007/BF00670503

[stefjm]

Il n'y a plus la vulgarisation mais il y a toujours les revues à commité de lecture...

[Nekama]

La motivation de la suppression de wp:en est l'absence de sources secondaires attestant de la notoriété de la théorie :
https://en.wikipedia.org/wiki/Wikipe...rial_hierarchy

C'est assez traditionnel (et logique) sur Wikipédia.

Mais il y a quand même un aspect "fourre-tout" malaisant :
https://scholar.google.com/scholar?h...archy%22&btnG=

nb: ces 2 éléments sont donnés sans avoir regardé même sommairement le "fond".

[MissJenny]

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.

la suite pourrait aussi bien commencer avec 2 puisque 2^2 - 1 = 3

[jiherve]

bonsoir,
oui c'est même le cas mais là la numérologie ne fonctionne plus!
JR

[stefjm]

A ce compte là, le tableau périodique des éléments est aussi de la numérologie, de même les nombres magiques de la physique nucléaire.

Un des articles qui explique le truc :
https://link.springer.com/article/10.1007/BF00670503

Résumé :
The combinatorial hierarchy model for basic particle processes is based on elementary entities; any representation they may have is discrete and two-valued. We call themSchnurs to suggest their most fundamental aspect as concatenating strings. Consider a definite small number of them. Consider an elementary creation act as a result of which two different Schnurs generate a new Schnur which is again different. We speak of this process as a “discrimination.” By this process and by this process alone can the complexity of the universe be explored. By concatenations of this process we create more complex entities which are themselves Schnurs at a new level of complexity. Everything plays a dual role in which something comes in from the outside to interact, and also serves as a synopsis or concatenation of such a process. We thus incorporate the observation metaphysic at the start, rejecting Bohr's reduction to the haptic language of common sense and classical physics. Since discriminations occur sequentially, our model is consistent with a “fixed past-uncertain future” philosophy of physics. We demonstrate that this model generates four hierarchical levels of rapidly increasing complexity. Concrete interpretation of the four levels of the hierarchy (with cardinals 3,7,127,2¹²⁷-1≈10³⁸) associates the three levels which map up and down with the three absolute conservation laws (charge, baryon number, lepton number) and the spin dichotomy. The first level represents +, −, and ± unit charge. The second has the quantum numbers of a baryon-antibaryon pair and associated charged meson (e.g.,n¯n,p¯n,p¯p,n¯p,π ⁺,π ⁰,π ⁻). The third level associates this pair, now including four spin states as well as four charge states, with a neutral lepton-antilepton pair (e¯e orv¯v), each pair in four spin states (total, 64 states)—three charged spinless, three charged spin-1, and a neutral spin-1 mesons (15 states), and a neutral vector boson associated with the leptons; this gives 3+15+3×15=63 possible boson states, so a total correct count of 63+64=127 states. Something likeSU ₂×SU ₃ and other indications of quark quantum numbers can occur as substructures at the fourth (unstable) level. Breaking into the (Bose) hierarchy by structures with the quantum numbers of a fermion, if this is an electron, allows us to understand Parker-Rhodes' calculation of m _p /m _e =1836.1515 in terms of our interpretation of the hierarchy. A slight extension gives us the usual static approximation to the binding energy of the hydrogen atom,α ² m _e c ². We also show that the cosmological implications of the theory are in accord with current experience. We conclude that we have made a promising beginning in the physical interpretation of a theory which could eventually encompass all branches of physics.

[jiherve]

re
c'est beau comme du (feu) Bogdanov.
La classification périodique est, elle, terriblement simplement factuelle!
JR

[stefjm]

C'est publié...

[jiherve]

re
eux aussi!

We also show that the cosmological implications of the theory are in accord with current experience

Entre 1979 et 2025 la cosmologie a beaucoup évoluée, matière noire (1993),energie sombre (1998) etc etc
Donc est ce toujours le cas aujourd'hui ?
JR

[stefjm]

re
eux aussi!

Des rigolos d'un coté et des mathématiciens et physiciens reconnus de l'autre...

https://en.wikipedia.org/wiki/Clive_W._Kilmister
https://en.wikipedia.org/wiki/Ted_Bastin
https://en.wikipedia.org/wiki/H._Pierre_Noyes

Entre 1979 et 2025 la cosmologie a beaucoup évoluée, matière noire (1993),energie sombre (1998) etc etc
Donc est ce toujours le cas aujourd'hui ?
JR

Certains points étaient prédictifs.