# The Family Formula for Leptons and Quarks

Originality
+ 0 - 0
Accuracy
+ 0 - 0
Score
0.00
113 views
Referee this paper: hal-01967522 by Nikola Perkovic

Please use comments to point to previous work in this direction, and reviews to referee the accuracy of the paper. Feel free to edit this submission to summarise the paper (just click on edit, your summary will then appear under the horizontal line)

requested Aug 22, 2019

paper authored Dec 31, 2018 to hep-ph

## 1 Review

+ 2 like - 0 dislike

Some initial comments on this paper... It starts by observing that in the standard model, yukawa couplings are free parameters. Then it goes on to propose formulas for the yukawas of the charged leptons, down-type quarks, and neutrinos.

The yukawa formulas - the prototype of which is equation 8 - are not explained by any physical model, principle, or reasoning that I can see. Until such an explanation is provided, I can only regard them as an exercise in "numerology", i.e. algebraic formulas which, even if they are true for a physical reason and not just by coincidence, ultimately need to be embedded in a physical theory.

The formulas contain a dependency on the fine-structure constant, which is common enough in physics numerology. However, they are unusual (even unique?) in that they employ the running fine-structure constant. Furthermore, the scale employed, is set by the mass of the relevant particle. For example, in equation 13, we see that the muon yukawa depends on the value of the fine-structure constant at the muon mass scale.

This may sound circular; but it also resembles some authentic QFT calculations, in which the value of a quantity is obtained from the constraint of self-consistency. However, as I already said, I don't see how to interpret these formulas as part of a larger coherent theoretical framework, whether that's quantum field theory or something else. In other words, I don't know how to start from a specific quantum field theory, whether defined by a largangian or by some ansatz, and obtain these expressions from it. So it looks like numerology to me; but perhaps the author has explained his theoretical framework in other works.

reviewed Aug 26, 2019 by (1,850 points)

Indeed, it would be interesting to give more details on the (8) construction. However, it is not ad hoc. The author provides the way to get it after a few assumptions. Similar papers ( in the form ) are common from great signatures. More than numerology, it is expressionology that can give ideas to other physicists. Unfortunately, the document covers a heavy domain and requires a lot of time for an useful review.

 Please use reviews only to (at least partly) review submissions. To comment, discuss, or ask for clarification, leave a comment instead. To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL. Please consult the FAQ for as to how to format your post. This is the review box; if you want to write a comment instead, please use the 'add comment' button. Live preview (may slow down editor)   Preview Your name to display (optional): Email me at this address if my review is selected or commented on: Privacy: Your email address will only be used for sending these notifications. Anti-spam verification: If you are a human please identify the position of the character covered by the symbol $\varnothing$ in the following word:p$\hbar$y$\varnothing$icsOverflowThen drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds). To avoid this verification in future, please log in or register.