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Neutrinos.
...Considered
as null-mass particles (what they are, until somebody will evidence their
mass), neutrinos have momentum matrixes similar to photons's. But their spin
is 1/2.
(293)
...The
neutrinos move at the velocity of light. They own a quantified spin, different
from the one of the photon. We know that there are three different kinds of
neutrinos (electronic, muonic, tauonic). But the Poincaré's group is
unable to evidence this distinction, in terms of new geometrical features.
To do this, we will be obliged to include charges in the momentum. For neutrinos
we have three different charges :
cL = leptonic
charge = ± 1
cm = muonic
charge = ± 1
cn = tauonic
charge = ± 1
...The
charge-inversion corresponds to matter anti-matter duality (after Dirac).
It is called charge conjugation or C-symmetry.
Then the three neutrinos
have each their own anti-particle, which corresponds to :
(295)
Non zero particles, with spin.
Then there is no longer
link between energy and impulsion :
(296)
Calling m the "rest mass", we can write :
(297)
(297b)
Limit our classification
to :
Proton
electron
neutron
and the corresponding
anti-particles.
...These
particles own different attributes, called charges, which do not come from
the Poincaré's group , as geometrical attributes.
There are :
-
Electric charge e =
± 1 -
Baryonic charge cB
= ± 1 -
Leptonic charge cL
= ± 1 -
Muonic charge cm= ± 1
-
Tauonic charge ct
= ± 1 -
Gyromagnetic coefficient
v (positive or negative)
...The
inversion of all these quantities (charge conjugation or C-symmetry) corresponds
to the duality matter anti-matter (after Dirac). To sum up :
(298)
(298b)
which can have any direction.
The magnetic momentum, the vector spin s and the gyromagnetic factor
v are linked through :
(299)
...Here
we used a bold letter to describe the spin vector, which can show any direction
in space. But its length is quanticized. The C-symmetry (charge conjugation)
reverses the charges, the gyromagnetic factor v , but not the spin. So that
its reverses the magnetic momentum of the particles.
Index Dynamic Groups Theory