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I came across this paper: https://arxiv.org/abs/1009.1711 ("The fine structure constant and numerical alchemy") which has several arithmetic formulas as approximations of <math>\alpha</math>, including one I've never seen before: <math>4\pi^3 + \pi^2 + \pi = 137.036303...</math>. I'm wondering if we should include a section on the "quest" for finding a formulaic approximation. The paper also discusses "numerical alchemy" and I think it contains a reasonable discussion of the basis for such a search. If there is consensus to include a section on this, I can take a stab at writing it. [[User:Vegard|Vegard]] ([[User talk:Vegard|talk]]) 19:29, 24 June 2023 (UTC)
I came across this paper: https://arxiv.org/abs/1009.1711 ("The fine structure constant and numerical alchemy") which has several arithmetic formulas as approximations of <math>\alpha</math>, including one I've never seen before: <math>4\pi^3 + \pi^2 + \pi = 137.036303...</math>. I'm wondering if we should include a section on the "quest" for finding a formulaic approximation. The paper also discusses "numerical alchemy" and I think it contains a reasonable discussion of the basis for such a search. If there is consensus to include a section on this, I can take a stab at writing it. [[User:Vegard|Vegard]] ([[User talk:Vegard|talk]]) 19:29, 24 June 2023 (UTC)


:See [[Fine-structure constant#Numerological explanations and multiverse theory]]. There's a million ways to get 1/137. There's no reason why those from that preprint are any more notable than any others. &#32;<span style="font-variant:small-caps; whitespace:nowrap;">[[User:Headbomb|Headbomb]] {[[User talk:Headbomb|t]] · [[Special:Contributions/Headbomb|c]] · [[WP:PHYS|p]] · [[WP:WBOOKS|b]]}</span> 19:40, 24 June 2023 (UTC)
:See [[Fine-structure constant#Numerological explanations]]. There's a million ways to get 1/137. There's no reason why those from that preprint are any more notable than any others. &#32;<span style="font-variant:small-caps; whitespace:nowrap;">[[User:Headbomb|Headbomb]] {[[User talk:Headbomb|t]] · [[Special:Contributions/Headbomb|c]] · [[WP:PHYS|p]] · [[WP:WBOOKS|b]]}</span> 19:40, 24 June 2023 (UTC)

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Arithmetic approximations

I came across this paper: https://arxiv.org/abs/1009.1711 ("The fine structure constant and numerical alchemy") which has several arithmetic formulas as approximations of , including one I've never seen before: . I'm wondering if we should include a section on the "quest" for finding a formulaic approximation. The paper also discusses "numerical alchemy" and I think it contains a reasonable discussion of the basis for such a search. If there is consensus to include a section on this, I can take a stab at writing it. Vegard (talk) 19:29, 24 June 2023 (UTC)[reply]

See Fine-structure constant#Numerological explanations. There's a million ways to get 1/137. There's no reason why those from that preprint are any more notable than any others. Headbomb {t · c · p · b} 19:40, 24 June 2023 (UTC)[reply]