This thread is to discuss a very non-standard opinion: that SUSY has indeed been observed time ago.(adsbygoogle = window.adsbygoogle || []).push({});

It draws on the "binary GUT" approach to SO(10), as stated by Zee in his book "Quantum Field Theory in a nutshell" and by F. Wilczek and A. Zee before. They observe that a SO(2 n) multiplet can be built as a product of SU(2) spinors, and they use this fact to generate the representations of GUT theories.

One can generate a SO(10)16spinor from a initial neutral two-component spinor |v> and four fermionic generators, lets call them Q+, Qr, Qg, Qb. The first of them has electric charge +1 and it is neutral for SU(3) colour, while the other three have electric charge -1/3 and they are coloured. We get

|v> : a neutrino, lets say.

Q+ v>, Qr v>, Qg v>, Qb v> : a positron and three down quarks.

Qr Q+ v>, Qg Q+ v> , Qb Q+ v>, Qg Qr v> Qb Qr v>, Qb Qg v>: three up quarks (charge +2/3) and three anti-up (charge -2/3).

Qg Qr Q+ v>, Qb Qr Q+ v>, Qb Qg Q+ v>, Qb Qg Qr v>: three anti-down and an electron.

Qb Qg Qr Q+ v>: the antineutrino

A problem of this idea is that we get the particles with different gradings. It can be solved by adding another neutral generator, Q0, so that we double the content of the multiplet. Now every fermionic component has the same grading, but we have got bosons too. And we need to look for them.

Here enters the main conjecture, proposed a couple years ago, and presented in hep-ph/0512065 (here attached).

It uses the fact that the top quark is unable to bind into mesons; with this property, it happens that the number of degrees of freedom of the standard-model fermions is the same, charge-by-charge, that the number of existing degrees of freedom for SU(3)-glued bosons.

So the standard model spectrum is composed of 96 fermionic degrees of freedom and 96 bosonic ones, matching in colour and electric charge.

The theory explains why the lepton masses and the hadronic masses are in the same range. A priory, the masses of muon and tau could have any value. Standard GUTs justify that the tau has a mass about one third of the bottom quark, but do not justify why such masses are in the hadronic rangue. And there is no model able to explain why the mass of the pion is so near of the mass of the muon.

The theory explains also why does Koide's equation, originally a preon based equation, work: because the fermions are not composite, but supersymmetric to composite particles.

From the 32 fermionic d.o.f. of the build above, we could try to add more neutral generators. One generator is not enough, but two generators drive us up to 128 d.o.f. instead of 96. So some symmetry breaking is needed. But it is interesting to note that we have started with 4 charged generators plus a neutral for the susy. And we seem to need two more, so we have a total of 7 generators acting in a two-component spinor. Perhaps do we need 8 generators acting in a "one-component" spinor?

I want to discuss this theory in the Independent Research subforum because the W-Z method very probably can be applied also in other alternative theories, and I would like to locate them and to see if they give some clues about the supersymmetric formalism.

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# GUTs from fermionic supergenerators.

**Physics Forums - The Fusion of Science and Community**