Classifying quarks and leptons using LCTs representation

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Discussion Overview

The discussion revolves around the classification of quarks and leptons using linear canonical transformations in spin representation. Participants are exploring the validity and implications of this classification method, referencing a specific link and associated literature.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant seeks opinions on the classification of quarks and leptons using linear canonical transformations, questioning the truth of the statements presented in the linked resource.
  • Another participant describes the classification as speculative, noting that similar taxonomies in theoretical physics can lead to discoveries or remain unresolved, and mentions the potential connection to a 2018 paper by the same researchers.
  • A request for elaboration on the idea that the proposed classification might be a variation of something well-known is made, indicating interest in deeper understanding.
  • One participant expresses intent to investigate the use of Clifford algebras and phase space symmetries in the proposed classification, suggesting a literature review for precedents.
  • Another participant notes the use of Clifford algebra generators as ladder operators in the classification scheme, questioning whether this approach is standard or recognized in the field.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus, as there are multiple viewpoints regarding the validity and familiarity of the classification method, with some expressing skepticism and others showing interest in further exploration.

Contextual Notes

There are unresolved questions regarding the assumptions underlying the classification method and the definitions of terms such as "phase space symmetry" and "Clifford algebras." The discussion reflects a range of familiarity with the proposed concepts.

Mich24
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TL;DR
About the way of classifying quarks and leptons using linear canonical transformations spin representation.
Hello everyone, I would like to ask for opinions/expertises about the way of classifying quarks and leptons using linear canonical transformations spin representation as explainedin this link https://en.m.wikipedia.org/wiki/Linear_canonical_transformation
Are the statements true ?
Please find attached a picture from the link that gives some description.
Thank you in Advance
 

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  • QuarksandleptonsLCT.png
    QuarksandleptonsLCT.png
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This is some kind of speculative unified theory... There are innumerable examples in theoretical physics, in which the properties of particles are used to group them into speculative taxonomies hinting at new physical laws. Sometimes this works and leads to an actual discovery, sometimes it doesn't, sometimes it can't work, sometimes it's still undecided.

I do not recognize this particular scheme (it appears to be the work of a group of researchers from Madagascar), but on closer inspection it could turn out to be a variation on something well-known. If anyone does want to get to the bottom of it, they could try this 2018 paper by the same people, in which it is described as based on a combination of "phase space symmetry" with the usual "internal symmetries" of gauge theory.
 
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Thank you for answer.

Could you please elaborate a little more on the part where you said "on closer inspection it could turn out to be a variation on something well-known"

thank you again.
 
I might start by trying to understand their use of Clifford algebras, and their use of phase space symmetries. Then I could look for precedents in the literature.
 
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mitchell porter said:
I might start by trying to understand their use of Clifford algebras, and their use of phase space symmetries. Then I could look for precedents in the literature.
I understand, Please let me know if you find anything in this direction. Thank you again. I remarked (from the picture) that they use the generators of the Clifford algebra to define some kind of ladder operators: I don't know if it is something usual or known.
 
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