Smilga paper, in which he derives an estimate to the fine structure constant

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Discussion Overview

The discussion revolves around W. Smilga's paper "Spin foams, causal links, and geometry-induced interactions," specifically focusing on his derivation of an estimate for the fine structure constant. Participants explore the implications of this estimate, its mathematical foundation, and its reception within the physics community.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant expresses uncertainty about the significance of Smilga's estimate for the fine structure constant, questioning whether it is genuinely interesting or merely a trick.
  • Another participant dismisses the validity of the approach, drawing a parallel to Eddington's controversial methods, suggesting skepticism about the derivation's legitimacy.
  • It is noted that Smilga's calculation is presented as a vindication of another theorist's models, indicating a potential connection to ongoing debates in the field.
  • A participant summarizes Smilga's claim that his work rederives the Wyler formula, which involves a quotient of volumes related to symmetric spaces, and compares it to the fine structure constant.

Areas of Agreement / Disagreement

Participants exhibit disagreement regarding the validity and significance of Smilga's derivation. While some find it potentially interesting, others are skeptical and view it as numerology or lacking rigor.

Contextual Notes

There are limitations in understanding the mathematical details presented in Smilga's work, as some participants acknowledge their lack of background knowledge. The discussion also highlights unresolved questions about the implications of the derived estimate and its acceptance in the broader physics community.

Tron3k
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I've been trying to figure out this paper by W. Smilga: Spin foams, causal links, and geometry-induced interactions

I don't have the knowledge and background to be able to determine whether his derivation of an estimate to the fine structure constant is interesting, or just a trick.

I am referring to XIV: Estimate of the Coupling Constant. Through some mathematics I don't understand yet, he gets a value for the fine structure constant of 1/137.03608245, which agrees to the real value "in five parts in ten-million".

What is the consensus of the physics community on this? Is it just numerology?
 
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Tron3k said:
I've been trying to figure out this paper by W. Smilga: Spin foams, causal links, and geometry-induced interactions

I don't have the knowledge and background to be able to determine whether his derivation of an estimate to the fine structure constant is interesting
no way. no f-ing way. When Eddington went crazy he started trying to do that too.
 
What is amusing is that the calculation is presented as a vindication of Tony's models.
 
To save some time:

Smilga says that it rederivates Wyler formula, which is claimed to be a quotient of volumes
<br /> 8 \pi^2 {V(D_5)^{1/4} \over V(S_4) V(C_5)}<br />
to be compared with \alpha / \pi

The objects C_5,D_5,S_4 being some symmetric spaces. These volumes are claimed to evaluate, respectively, to {8 \pi^3 \over 3}, {\pi^5 \over 2^4 5!}, {8 \pi^2 \over 3}
 
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