Hot, Cold and Warm Ideas in Particle Physics
According to the result from the Koide formula, we should be looking to use the masses of the electron, muon and tau as the 3 fundamental mass quanta in our unified model.
The trouble with this approach is how to explain the masses of the muon and the pion, which are very close to the 3:4 ratio. If we try to say that a pion is a muon plus a whole bunch of electrons, how do we end up with the pion being 33% heavier and not somewhere in between? In effect, we're no better off than we were trying make a proton from 1840 electrons.
For the necessary inspiration, we will turn to Murray Gell-Mann. Recall that when he proposed the quark model, he took the approach that charges can be +1/3 or -1/3, or multiples thereof. With a bit of hand-waving (quark confinement) to explain why we only see charges +1 or -1 in practice, he arrived at a model that does a good job of explaining particle charges and interactions via the strong force.
In our unified model universe, we don't have the option of introducing a strong force with a concept of colour, because then it wouldn't be a unified model at all. So the quark model has to go.
Instead we will apply Murrary Gell-Mann's logic to the particle masses. With a minor modification, we will simply divide all of our mass quanta by a factor of 3.
Accordingly, the 3 mass quanta will be:
|Particle Fraction||Mass Quantum|
|Electron / 3||0.170 MeV/c2|
|Muon / 3||35.2 MeV/c2|
|Tau / 3||592 MeV/c2|
At first glance, this might seem like a bit of a daft thing to do because although we now have a framework that can explain the muon and pion, we've lost the simple correspondence we had with the electron.
Nevertheless, we note that the 35.2 MeV/c2 mass quantum tallies with the suggestions from MalColm MacGregor and Paulo Palazzi.< Previous Next >