A Is There a Six-Preon Theory with Specific Charge and Color Assignments?

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I have reviewed the old thread https://www.physicsforums.com/threa...ow-do-they-fit-into-the-standard-model.76937/
that catalogues preon theories but I am looking for a very specific variant, having only one coloured particle, for instance
(d^r, d^g, d^b) of charge -1/3 and five uncoloured preons u c t, s b in the fundamental of SU(5) \supset SU(3) \times SU(2), so they could be with charges +2/3 and -1/3 or something so. Composition should be just a pair preon-preon or a pair preon-antipreon

Has anyone read about this sort of preons?

PS: ah, related to this, if someone knows the user https://www.physicsforums.com/members/antiphon.24684/ please send me a message, I want to mention the nomenclature turtles/elephants elsewhere.
 
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Indeed very similar! Now I think about, the charge assignment I suggested above fails with one quark of the up type. A closer assignment is change the uncolored preons to have charges 0, 0 , 0, 1 , 1 and surely this is more easy to find in publications. As in other models of mine, pairs preon preon produce the squarks of the standard model, and pairs preon antipreon produce the leptons.
 
I've been trying to find Pati-Salams original paper " Lepton number as the fourth "color" that isn't behind a pay wall.
The only copy I was able to find is on academia.
https://www.academia.edu/70190384/Lepton_Number_As_the_Fourth_Color
If your a member (free) it's download able.
It should help as the other models are variations resulting from this original paper.

Another aid is
Pati-Salam Ala SO(10) MSSM.
https://arxiv.org/abs/hep-ph/0204097

(Oops SO(10) Ala Pati-Salam must have had a bit of dyslexia hit lol.)
Last link simply is an aid on the groups used by Pati-Salam
 
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Hmm I guess it could be said that Georgi Glashow decuplet is a composite of the 5, and the later is one coloured "preon" of charge -1/3 and two uncoloured (d^r, d^g, d^b), e, \nu
And things are funnier with flipped SU(5)
 
arivero said:
And things are funnier with flipped SU(5)
Including one of its champions, John Hagelin, who ran for US President multiple times. I think his record vote share was 0.1%.
 
Vanadium 50 said:
Including one of its champions, John Hagelin, who ran for US President multiple times. I think his record vote share was 0.1%.
LOL I didn't know! But I remember the newspaper reports about the Maharishi effect in the nineties. Well, at least in physics he got to be a person with some impact, citation-wise.

what I was thinking is, consider the fundamental of Georgi Glashow as preons,
\bar 5 = (1, 2)_{3} + (\bar 3, 1)_{-2} = (e^+,\nu) + (d_R,d_G,d_B),
with Q= T_3 - Y/6 and then the composites in the 10 and 24 (instead of the gauge group)
10 = (1, 1)_{−6} + (\bar 3, 1)_4 + (3, 2)_{−1} \to +1, -2/3, (+2/3 , -1/3)
24 = (1, 1)_0 + (1, 3)_0 + (3, 2)_5 + (\bar 3, 2)_{−5} + (8, 1)_0 \to 0, (1,0,-1), (+4/3, +1/3), (-1/3, -4/3),0
\bar {10} \to -1, +2/3, (-2/3 , +1/3)
look as a complete generation plus extra stuff. I was wondering how it goes with the flipped version, where the electric charge does not add trivially. Or in a flipped-like but with straighforward charge addition, so the 10 gets 4/3 quarks.
 
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Getting back on topic, do people still build preon (preons as actual particles) theories? Why?

(1) It doesn't seem to explain anything new.

(2) You are replacing six fermions, plus color, for what looks like eight (containing color). It doesn't appear appreciably simpler.

(3) You have a problem with extreme fine tuning. Let's say an electron is made up of X and Y preons. Let;s sat they weigh 20 TeV each - that's the order of magnitude limit from experiment. Then they are bound by exactly 39.9999995 TeV.

It seems like preons make things worse, not better.
 
  • #10
Vanadium 50 said:
Getting back on topic, do people still build preon (preons as actual particles) theories? Why?

(1) It doesn't seem to explain anything new.


It seems like preons make things worse, not better.

arXiv:1805.03013 (physics)

[Submitted on 30 Apr 2018]

Supersymmetric Preons and the Standard Model​


Risto Raitio

The experimental fact that standard model superpartners have not been observed compels one to consider an alternative implementation for supersymmetry. The basic supermultiplet proposed here consists of a photon and a charged spin 1/2 preon field, and their superpartners. These fields are shown to yield the standard model fermions, Higgs fields and gauge symmetries. Supersymmetry is defined for unbound preons only. Quantum group SLq(2) representations are introduced to classify topologically scalars, preons, quarks and leptons.


Comments:10 pages, 2 tables
Subjects: General Physics (physics.gen-ph)
Cite as:arXiv:1805.03013 [physics.gen-ph]

The experimental fact that standard model superpartners have not been observed compels one to consider an alternative implementation for supersymmetry....Supersymmetry is defined for unbound preons only

He is proposing exact supersymmetry, and only preons are supersymetric, not standard model particles which are composites

all the benefits of unbroken supersymmetry and an explanation why no superpartners at the LHC, because SM particles are not fundamental
 
  • #11
Yes I think the main idea now is as a subset of "composite models" where we call for compositeness of some particles, as the Higgs or the top quark. In any case, if one try to exclude the "composite higgs" papers, it is a subfield with very small frequency. Not enough authors/year even for a workshop.

https://inspirehep.net/literature?s...n-summary=true&ui-exclude-self-citations=true

The observation of fine-tuning is interesting; we have already an accidental fine-tuning in QCD vs Electroweak, where the QCD scale happens to be also the scale of electroweak masses. Could an extreme fine tuning justify the accidental one?
 
  • #12
Vanadium 50 said:
Getting back on topic, do people still build preon (preons as actual particles) theories? Why?
It is so very tempting though.

Our very terminology points huge arrows in this direction by decomposing fundamental particles in the Standard Model into a bunch of discrete properties that are assigned numbers, which exist in some combinations but not others.

Screenshot 2024-07-08 at 4.10.00 PM.png


The list I've screen shotted doesn't even include QCD color charge, or whether both left and right, or only left or right parity is available, and particle v. antiparticle distinctions.

A b quark looks like a -1/3 charge preon, plus a single color charge preon, plus a spin-1/2 preon, plus a 1/3 baryon number preon, plus a bottomness preon, plus some composite hypercharge and weak hypercharge particles.

It looks like every other puzzle that science has ever presented to us without actually requiring multi-variable calculus and complex analysis to fathom.

It screams at you that there must be a simpler way! All of our other scientific and life experiences tell us that it feels like there should be some clever way to make it flow from something simpler and deeper.

If it worked for myriad molecules and crystals we encounter in everyday life, it worked for the periodic table of the elements, and it worked for the particle zoo of hadrons, then surely there must be a better way to simplify the 104 possible combinations of color charge, mass, electromagnetic charge, weak interaction charge, spin, parity, and particle-antiparticle combinations (including the graviton, and excluding continuous properties like photon frequency and kinetic energy):

* 3 quark generations x 2 quark EM charges x 3 colors each x 2 parity possibilities x particle/antiparticles for each = 72 discrete quark variants.
* 3 charged lepton generations x 2 parity possibilities x particle/antiparticles for each = 12 discrete charged lepton variants
* 3 neutrino generations x 1 parity possibility x particle/antiparticle for each = 6 discrete neutrino variants

for 90 discrete fundamental fermion variants.

The eight color combinations of gluons, the W+ and W- bosons, one Z boson, the Higgs boson, the photon and the (hypothetical graviton) for 14 discrete fundamental bosons variants.

104 fundamental particles in all.

How can 104 discrete variations of anything be fundamental, our intuition screams?

And there is a prize out there to claim: Reducing the number of experimentally determined constants in the Standard Model.

15 masses, 4 CKM parameters, 4 PMNS parameters, 3 coupling constants particular to the Standard Model, G and the cosmological constant in GR, and the speed of light (it was measured before it was defined, which is why it isn't a round number in meters) and Plank's constant for good measure.

Surely there must be a way to trim down the 30 fundamental constants (really a few less, since a few are not independent of each other due to electroweak unification)!

And, it isn't as if the 104 discrete variants of particle types and 30 fundamental constants show no patterns! There are mass hierarchies and textures and alternative parameterizations. There are correlations between the masses and the mixing angles. There are combinations of properties that are allowed, and combinations of properties that aren't. We already have formulas connecting a couple of the coupling constants to a couple of the masses. So, why shouldn't there be more formulas like that?

Even if your preon model cuts down the number of fundamental particles only minimally, if it can provide a way to calculate many more of those 30 experimentally determined physical constants from first principles, that's a huge win that can provide more precision without more experimental measurements!

And, for those who believe that dark matter particles are a thing and that dark energy has substance, or that SUSY is real, or that there might be inflatons or other motley BSM particles, it offers the reward of a path to identify what those BSM particles could be before we discover them experimentally (and in light of the fact that we may never actually be able to observe them experimentally because the experiments are too hard, at least to complete in our lifetime).

The same incentives, with more sophistication, drive GUT models and string theory, which are basically preon theories for grown ups.

We already know things sufficiently fundamental to know what we need to know to apply the Standard Model and GR to all sorts of absurdly hard problems that are at the very limits of our technological abilities with absurd precision, but it is still so unsatisfying and clunky!

So that's "why" people keep working on preon models.

Is it time well spent?

Probably not.

As Vanadium 50 notes, using the same methods that we used to discovery protons, neutrons and quarks, it takes huge contortions for preons to be real without some sort of Higgs field/gravitational field shielding or something similar to hide hugely massive particles as components of much less massive particles.

But there is also a deep sense that this clunky complexity can't be all that there is to know. The data we have is so organized and structured and fits together so well. It looks like a preon problem! And, preon theories are very inexpensive to research using data collected for other purposes. And, highly respected HEP scientists have tried in the past and published their whimsies, before giving up, so it is respectable, up to a point (even if the numerology monster lurks behind every corner and the experimental constraints get tighter every time we review them anew).

As a result, people keep trying that approach, the same way that they try to climb Mount Everest despite the long line of dead bodies that they have to pass by on the way and knowing that their particular quest isn't likely to change the world in any meaningful way. The data is sitting there, staring us in the face, taunting us!

Preon theory, GUT theory, TOE theory, string theory, and lots of other BSM theorizing is ultimately driven by an unwillingness to accept that what we know now is as good as it gets. Preon theories are just the entry level version of the larger quest.
 
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  • #13
I'm not going to discuss a "revolutionary" paper with 8 cites, 5 of which are self-cites.

Composite Higgs is a special case, as it does explain some things: why the Higgs Yukawa is so close to 1, and the lets call it "discomfort" with fundamenta scalars. And we know from condensed matter that collective modes can produced Higgs-like behavior.

I'll let you invoke the "gotta be something" argument for the electron mass. But there are lots of other particles out there that need a similar degree of fine tuning.

Note that this is an argument against "preons as particles". If you instead use the analogy "preons analogous to magnetic poles", things look better. They still don't help, but you don't have multiple instances of fine tuning.
 
  • #14
Vanadium 50 said:
(2) You are replacing six fermions, plus color, for what looks like eight (containing color). It doesn't appear appreciably simpler.

What I was thinking is that partial approaches as the composite Higgs or composite top are into something; so I did time ago my "composite scalar superpartners" -fully zero citations work, not unexpectedly :-) - and so I was thinking here of some preon theory that partly looks as the original theory.

If we say for instance that the 10 of Georgi Glashow SU(5) is a composite extracted out of 5x5 = 15+10 tensor product, we have used three particles (d,e,nu) to explain four. Or, including colour, we have used five particles "d,e,nu" to explain eight "u,d,e,nu". The one I was thinking in the initial post would aim to explain three generations from eight states, so if it exists -it seems not- it also would be an advance in simplicity.
 
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  • #15
does Bilson-Thompson, Sundance (2005). "A topological model of composite preons". arXiv:hep-ph/0503213 count as preons

more recently

[Submitted on 31 May 2021 (v1), last revised 11 Sep 2021 (this version, v4)]
Braided matter interactions in quantum gravity via 1-handle attachment
Niels Gresnigt, Antonino Marciano, Emanuele Zappala
In a topological description of elementary matter proposed by Bilson-Thompson, the leptons and quarks of a single generation, together with the electroweak gauge bosons, are represented as elements of the framed braid group of three ribbons. By identifying these braids with emergent topological excitations of ribbon networks, it has been possible to encode this braid model into the framework of quantum geometry provided by loop quantum gravity. In the case of trivalent networks, it has not been possible to generate particle interactions, because the braids correspond to noiseless subsystems, meaning they commute with the evolution algebra generated by the local Pachner moves. In the case of tetravalent networks, interactions are only possible when the model's original simplicity, in which interactions take place via the composition of braids, is sacrificed. We demonstrate that it possible to preserve both the original classification of fermions, as well as their interaction via the braid product, if we embed the braid in a trivalent scheme, and supplement the local Pachner moves, with a non-local and graph changing 1-handle attachment. Moreover, we use Kauffman-Lins recoupling theory to obtain invariants of braided networks that distinguish topological configurations associated to particles in the Bilson-Thompson model.

Comments: 15 pages, 7 figures. v4: Improvements on exposition. Final version to appear in Phys. Rev. D
Subjects: General Relativity and Quantum Cosmology (gr-qc)
 
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  • #16
Nah, definitely braid groups are outside of the frame.
 
  • #17
Do you actually think the universe works this way? I mean, as an experimenter, I look for things I don't believe in and think are unlikely all the time, but that's my job.

As far as explaining flavor, remember, this is what did Technicolor in.
 
  • #18
Vanadium 50 said:
Do you actually think the universe works this way? I mean, as an experimenter, I look for things I don't believe in and think are unlikely all the time, but that's my job.

As far as explaining flavor, remember, this is what did Technicolor in.
do you believe in string theory and susy?
 
  • #19
kodama said:
do you believe in string theory and susy?
Why does it matter? I measure things.
 
  • #20
Vanadium 50 said:
Why does it matter? I measure things.
isn't string theory similar to preons?
 
  • #21
Vanadium 50 said:
Why does it matter? I measure things.
kodama said:
isn't string theory similar to preons?
Huh?
 
  • #22
Rhut-rho...
 
  • #23
In any case, the point with preons is that it depens of how many particles you need. For one generation of the SM, it seems not very useful. For 3 generations, they could be of some help. For 3 generations of susy, it definitely helps if there is some way to reclassify all the degrees of freedom.
 
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  • #24
arivero said:
In any case, the point with preons is that it depens of how many particles you need. For one generation of the SM, it seems not very useful. For 3 generations, they could be of some help. For 3 generations of susy, it definitely helps if there is some way to reclassify all the degrees of freedom.
do preons have to be particles?
 
  • #25
kodama said:
do preons have to be particles?
Historically, fundamental physics has progressed through the stages:
$$\text{particles of macroscopic matter}\rightarrow\text{molecules}\rightarrow\text{atoms}\rightarrow\text{electrons and nucleons}\rightarrow\text{leptons and quarks}$$It's been particles all the way down. Why should hypothetical preons be different?
 
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  • #26
renormalize said:
Historically, fundamental physics has progressed through the stages:
$$\text{particles of macroscopic matter}\rightarrow\text{molecules}\rightarrow\text{atoms}\rightarrow\text{electrons and nucleons}\rightarrow\text{leptons and quarks}$$It's been particles all the way down. Why should hypothetical preons be different?
Bilson-Thompson preons could be LQG spin networks
 
  • #27
I think that by "-on" we definitely mean particles. It can be argued if they are "labels", as it was discussed I believe in the first age of the eightfold way.
 
  • #28
Vanadium 50 said:
Getting back on topic, do people still build preon (preons as actual particles) theories? Why?

(3) You have a problem with extreme fine tuning. Let's say an electron is made up of X and Y preons. Let;s sat they weigh 20 TeV each - that's the order of magnitude limit from experiment. Then they are bound by exactly 39.9999995 TeV.

Another point I was thinking: 39.9999999 TeV or exactly 40 Tev? Because above electroweak scale, all particles are massless.
 
  • #29
Vanadium 50 said:
I'm not going to discuss a "revolutionary" paper with 8 cites, 5 of which are self-cites.

okay but the basic idea is that the standard model particles are not fundamental, but composites. under such a theory, is there any reason to expect superpartners for each particle, anymore than superpartners of pions and protons and neutrons?
 
  • #30
Vanadium 50 said:
Including one of its champions, John Hagelin, who ran for US President multiple times. I think his record vote share was 0.1%.
Eight thousand votes. Much better than I could do.
 
  • #31
kodama said:
okay but the basic idea is that the standard model particles are not fundamental, but composites. under such a theory, is there any reason to expect superpartners for each particle, anymore than superpartners of pions and protons and neutrons?
Susy in preon theory had some motivations, yes. Of course, that it allows for a lot more of model building because even if the preons had some supersymmetry, that was not needed to propagate to the quarks and leptons; it was model dependent. Other argument was to check if actual standard model fermions could appear as goldstinos, then having a excuse to be almost massless. And there was the question of how to compose a fermion: you need either three subfermions, or a pair of preon fermion plus preon boson. Here susy comes handy to provide the preon bosons.
 
  • #32
arivero said:
S you need either three subfermions, or a pair of preon fermion plus preon boson. Here susy comes handy to provide the preon bosons.

why do preons have to be fermions or bosons? could preons for example, be anyons quasiparticle or unparticles, or loop quantum gravity spin networks, spinors of twistor theory, or even the strings of string theory?
 
  • #33
kodama said:
why do preons have to be fermions or bosons? could preons for example, be anyons quasiparticle or unparticles, or loop quantum gravity spin networks, spinors of twistor theory, or even the strings of string theory?
Did you forget solitons, pomerons and skyrmions? Unless you can plausibly propose how any of your cocktail of preon ingredients can be mixed to achieve the specific mass, spin, charge, color, etc. of the standard model particle spectrum, you're just harvesting and listing sexy-sounding terms from the literature of theoretical physics.
 
  • #34
kodama said:
why do preons have to be fermions or bosons? could preons for example, be anyons quasiparticle or unparticles, or loop quantum gravity spin networks, spinors of twistor theory, or even the strings of string theory?
Preons are almost by definition particle theories. Fundamental particles have integer or half integer spin. Integer spin particles are bosons. Half-integer spin particles are fermions. And, indeed, while not all preons have to be fermions, it pretty much follows that some of them do, since there are half-integer spin particles in real life and getting a half-integer spin particle from a composition of integer spin particles doesn't work without difficult contortions.

Loop quantum gravity isn't a particle theory. Neither is an unparticle theory. So, while those are both BSM physics, they aren't preon theories.

Strings in string theory are either bosonic or fermionic.

Anyons do break out of the boson-fermion dichotomy, in favor of an abelian and non-abelian dichotomy, and are more like particles. But they've also only been demonstrated in a two-dimensional system which is a problem in a 3+1 dimensional world.
 
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  • #35
Besides preon being defined as particle, most usages in physics of the termination "-on" conform to traditional definition, or were expected to conform to it when the word was proposed. And by traditional, I mean

Δημόκριτος στοιχεῖα μὲν τὸ πλῆρες καὶ τὸ κενὸν εἶναί φασι, λέγοντες τὸ μὲν ὂν τὸ δὲ μὴ ὄν, τούτων δὲ τὸ μὲν πλῆρες καὶ στερεὸν τὸ ὄν, τὸ δὲ κενὸν τὸ μὴ ὄν (διὸ καὶ οὐθὲν μᾶλλον τὸ ὂν τοῦ μὴ ὄντος εἶναί φασιν, ὅτι οὐδὲ τοῦ κενοῦ τὸ σῶμα), αἴτια δὲ τῶν ὄντων ταῦτα ὡς
(Arist. Metaph. 985b.5 )

Still, well, it is Aristotle translation of a lost document, and he was not very good understanding dualities.
 
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  • #36
renormalize said:
Did you forget solitons, pomerons and skyrmions? Unless you can plausibly propose how any of your cocktail of preon ingredients can be mixed to achieve the specific mass, spin, charge, color, etc. of the standard model particle spectrum, you're just harvesting and listing sexy-sounding terms from the literature of theoretical physics.

I did forget, Point being has any researcher suggested "preons" of solitons, pomerons and skyrmions can be mixed to achieve the specific mass, spin, charge, color, etc. of the standard model particle spectrum, is there any research into this, into preons being something other than fermions and bosons ?
 
  • #37
ohwilleke said:
Preons are almost by definition particle theories. Fundamental particles have integer or half integer spin. Integer spin particles are bosons. Half-integer spin particles are fermions. And, indeed, while not all preons have to be fermions, it pretty much follows that some of them do, since there are half-integer spin particles in real life and getting a half-integer spin particle from a composition of integer spin particles doesn't work without difficult contortions.

Loop quantum gravity isn't a particle theory. Neither is an unparticle theory. So, while those are both BSM physics, they aren't preon theories.

Strings in string theory are either bosonic or fermionic.

Anyons do break out of the boson-fermion dichotomy, in favor of an abelian and non-abelian dichotomy, and are more like particles. But they've also only been demonstrated in a two-dimensional system which is a problem in a 3+1 dimensional world.

why not hypothesis that anyons exist stuck on a 2D "brane" and use this to create a anyon preon theory to give rise to the standard model, use some version of holography and ads/cft to conjecture 3d Space is a stack of 2d branes glued together, and anyons are stuck on those 2d branes.

I mention LQG and spin networks since the history is that Sundance Bilson Thompson was researching preon theory, Hari Shupe preon theory, and instead of particles he suggested ribbons and braids. Smolin saw this and suggested the ribbons are spin networks, and perhaps LQG could give rise to the standard model, based on an idea of preons.

John Baez N Fuery et al have suggested the use of octonions to unify the standard model.

I'm wondering if you can somehow mix in Fuery and John Baez octonions with Bilson Thompson-Lee Smolin spin networks and framed ribbon braiding.

assign octonions to Bilson Thompson/Lee Smolin framed braiding
 
  • #38
kodama said:
why not hypothesis that anyons exist stuck on a 2D "brane" and use this to create a anyon preon theory to give rise to the standard model, use some version of holography and ads/cft to conjecture 3d Space is a stack of 2d branes glued together, and anyons are stuck on those 2d branes.

I mention LQG and spin networks since the history is that Sundance Bilson Thompson was researching preon theory, Hari Shupe preon theory, and instead of particles he suggested ribbons and braids. Smolin saw this and suggested the ribbons are spin networks, and perhaps LQG could give rise to the standard model, based on an idea of preons.

John Baez N Fuery et al have suggested the use of octonions to unify the standard model.

I'm wondering if you can somehow mix in Fuery and John Baez octonions with Bilson Thompson-Lee Smolin spin networks and framed ribbon braiding.

assign octonions to Bilson Thompson/Lee Smolin framed braiding
You can spin out a list of everything that everybody has ever tried, and it might even have the right answer in there somewhere.

But you've completely drifted beyond the original topic of the thread, which was every narrow, and until you come up with a reason that a preon theory with preons that are somehow neither bosons nor fermions solve some observational issue, with some sort of academic support to back it up, why should we even care?

If you want to do HEP-theory, write your own paper.

One of the more mainstream conceptual paths, which is decidedly not a preon theory, is the quantum field theory concept that "treats particles as excited states (also called quantum levels) of their underlying quantum fields, which are more fundamental than the particles."

Thus, what we idealize as "particles" are really excitations of (i.e. "bumps in") quantum fields. Thus, the properties of the fields are what sets boundaries on the manners in which they can be excited and the allowed set of discrete particle states. Conceptually, this is basically an approach that puts waves first and particles second in the wave-particle duality.

This approach has historically been more fruitful in high energy physics and quantum gravity pursuits than a particle's first approach.
 
  • #39
renormalize said:
you're just harvesting and listing sexy-sounding terms from the literature of theoretical physics.
Physics Mad-Libs!
 
  • #40
ohwilleke said:
You can spin out a list of everything that everybody has ever tried, and it might even have the right answer in there somewhere.

But you've completely drifted beyond the original topic of the thread, which was every narrow, and until you come up with a reason that a preon theory with preons that are somehow neither bosons nor fermions solve some observational issue, with some sort of academic support to back it up, why should we even care?

this paper

One generation of standard model Weyl representations as a single copy of
Author links open overlay panelN. Furey Physics Letters B
Volume 827, 10 April 2022, 136959

Abstract

Peering in from the outside,
looks to be an ideal mathematical structure for particle physics. It is 32 -dimensional: exactly the size of one full generation of fermions. Furthermore, as alluded to earlier in [1], it supplies a richer algebraic structure, which can be used, for example, to replace with the symmetry of the standard model.

John Baez also talks about octonions and the standard model here

Talk 9: Can We Understand the Standard Model Using Octonions? (John Baez)
Latham Bo




so if you accept the hypothesis that We Understand the Standard Model Using Octonions, what sort of fundamental object or entity do octonions act on, that give rise to the standard model particles?

what are the properties of this object that with octonions, give rise to all the things you mention in your post?
 
  • #41
kodama said:
this paper

One generation of standard model Weyl representations as a single copy of
Author links open overlay panelN. Furey Physics Letters B
Volume 827, 10 April 2022, 136959

Abstract



John Baez also talks about octonions and the standard model here

Talk 9: Can We Understand the Standard Model Using Octonions? (John Baez)
Latham Bo




so if you accept the hypothesis that We Understand the Standard Model Using Octonions, what sort of fundamental object or entity do octonions act on, that give rise to the standard model particles?

what are the properties of this object that with octonions, give rise to all the things you mention in your post?

A mathematical structure is not necessarily (or even usually or presumptively) a preon.
 
  • #42
ohwilleke said:
A mathematical structure is not necessarily (or even usually or presumptively) a preon.
okay not a preon, what objects could be used with that We Understand the Standard Model Using Octonions
 
  • #43
ohwilleke said:
A mathematical structure is not necessarily (or even usually or presumptively) a preon.
john baez said:
Octonions and the Standard Model 5. How to think of the 2×2 self-adjoint octonionic matrices as 10-dimensional Minkowski space, and pairs of octonions as left- or right-handed Majorana-Weyl spinors in 10 dimensional spacetime.

john baez et al argue Majorana-Weyl spinors and Octonions gives you back the Standard Model

so Majorana-Weyl spinors in Octonions could play the role of preon

there is
arXiv:1105.3385 (gr-qc)
[Submitted on 17 May 2011 (v1), last revised 2 Feb 2012 (this version, v2)]
Spinor Representation for Loop Quantum Gravity
Etera R. Livine, Johannes Tambornino

Spinor representation of the Hamiltonian constraint in 3D loop quantum gravity with a nonzero cosmological constant
Published in: Phys.Rev.D 107 (2023)

loop quantum gravity contains Spinor

so Spinor Representation for Loop Quantum Gravity + Octonions and the Standard Model
 
  • #44
kodama said:
john baez et al argue Majorana-Weyl spinors and Octonions gives you back the Standard Model

so Majorana-Weyl spinors in Octonions could play the role of preon

there is
arXiv:1105.3385 (gr-qc)
[Submitted on 17 May 2011 (v1), last revised 2 Feb 2012 (this version, v2)]
Spinor Representation for Loop Quantum Gravity
Etera R. Livine, Johannes Tambornino

Spinor representation of the Hamiltonian constraint in 3D loop quantum gravity with a nonzero cosmological constant
Published in: Phys.Rev.D 107 (2023)

loop quantum gravity contains Spinor

so Spinor Representation for Loop Quantum Gravity + Octonions and the Standard Model
Spinors and Octonions are ways of mathematically describing Loop Quantum Gravity which is fundamentally a description of space-time itself, and not particles in space-time.
 
  • #45
ohwilleke said:
Spinors and Octonions are ways of mathematically describing Loop Quantum Gravity which is fundamentally a description of space-time itself, and not particles in space-time.

I am also note Octonions and the Standard Model separate from Loop Quantum Gravity

eg
arXiv:2206.06912 (hep-th)
[Submitted on 14 Jun 2022 (v1), last revised 6 Aug 2023 (this version, v3)]
Octonion Internal Space Algebra for the Standard Model
Ivan Todorov
The paper surveys recent progress in the search for an appropriate internal space algebra for the Standard Model (SM) of particle physics. As a starting point serve Clifford algebras involving operators of left multiplication by octonions. A central role is played by a distinguished complex structure which implements the splitting of the octonions O=C⊕C3 reflecting the lepton-quark symmetry. Such a complex structure in Cℓ10 is generated by the Cℓ6(⊂Cℓ8⊂Cℓ10) volume form, ω6=γ1⋯γ6, left invariant by the Pati-Salam subgroup of Spin(10), GPS=Spin(4)×Spin(6)/Z2. While the Spin(10) invariant volume form ω10=γ1...γ10 is known to split the Dirac spinors of Cℓ10 into left and right chiral (semi)spinors, P=12(1−iω6) is interpreted as the projector on the 16-dimensional \textit{particle subspace} (annihilating the antiparticles). The standard model gauge group appears as the subgroup of GPS that preserves the sterile neutrino (identified with the Fock vacuum). The Z2-graded internal space algebra A is then included in the projected tensor product: A⊂PCℓ10P=Cℓ4⊗PCℓ06P. The Higgs field appears as the scalar term of a superconnection, an element of the odd part, Cℓ14, of the first factor. The fact that the projection of Cℓ10 only involves the even part Cℓ06 of the second factor guarantees that the colour symmetry remains unbroken. As an application we express the ratio mHmW of the Higgs to the W-boson masses in terms of the cosine of the {\it theoretical} Weinberg angle.

here Clifford algebras involving operators of left multiplication by octonions on spinors give standard model gauge group

spinors play a role similar to preons in Clifford algebras and octonions
 
  • #46
kodama said:
I am also note Octonions and the Standard Model separate from Loop Quantum Gravity

eg
arXiv:2206.06912 (hep-th)
[Submitted on 14 Jun 2022 (v1), last revised 6 Aug 2023 (this version, v3)]
Octonion Internal Space Algebra for the Standard Model
Ivan Todorov


here Clifford algebras involving operators of left multiplication by octonions on spinors give standard model gauge group

spinors play a role similar to preons in Clifford algebras and octonions
Also not preons, although suggestive of them. Also, not actually the Standard Model since since it maps to sterile neutrinos.
 
  • #48
As we have moved to miscenalneus in this thread... Does anybody know if Garret Lisi' app to visualize algebras is still working in some website? I am wondering how many ways one can extract SU(3) out of SU(5), looking at the roots etc.
 
  • #49
arXiv:2004.11140 (physics)

[Submitted on 17 Apr 2020 (v1), last revised 6 May 2020 (this version, v2)]

A topological model of composite preons from the minimal ideals of two Clifford algebras​


Niels G. Gresnigt
We demonstrate a direct correspondence between the basis states of the minimal ideals of the complex Clifford algebras Cℓ(6) and Cℓ(4), shown earlier to transform as a single generation of leptons and quarks under the Standard Model's unbroken SU(3)c×U(1)em and SU(2)L gauge symmetries respectively, and a simple topologically-based toy model in which leptons, quarks, and gauge bosons are represented as elements of the braid group B3.
It was previously shown that mapping the basis states of the minimal left ideals of Cℓ(6) to specific braids replicates precisely the simple topological structure describing electrocolor symmetries in an existing topological preon model. This paper extends these results to incorporate the chiral weak symmetry by including a Cℓ(4) algebra, and identifying the basis states of the minimal right ideals with simple braids. The braids corresponding to the charged vector bosons are determined, and it is demonstrated that weak interactions can be described via the composition of braids.

Comments: 11 pages
Subjects: General Physics (physics.gen-ph)
Cite as: arXiv:2004.11140 [physics.gen-ph]
(or arXiv:2004.11140v2 [physics.gen-ph] for this version)

https://doi.org/10.48550/arXiv.2004.11140
Related DOI:
https://doi.org/10.1016/j.physletb.2020.135687
 
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Likes ohwilleke, Mordred and arivero
  • #50
Nice find gonna keep that article in my collection handy quick reference on a few tables
 

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