0$. So the lattice oscillations do not contribute to the intrinsic angular momentum of the $\mu$ mesons, or $\sum_{i} j(\nu_i) = 
0$. Each of the O($10^9$) neutrinos in the $\mu$ meson lattice has, however, an angular momentum $\hbar$/2. The sum of the spin vectors of all neutrinos in the lattice of the $\mu$ mesons must be zero; otherwise the sum of the spin vectors of all neutrinos in the lattice plus the spin vector of the electric charge of a $\mu^\pm$ meson could not be $\hbar$/2, as it must be.

![image](mulat.eps)

> Fig.1. The $\mu^+$ meson lattice. The dotted rectangle marks the front-side of the $\pi^\pm$ meson lattice in Fig.5 of \[2\].

In order to show that the angular momentum vectors around a central axis of the lattice caused by the spin vectors of all neutrinos in the $\mu$ meson lattice is zero we have to consider this lattice in detail, Fig.1. As we have learned in \[3\] the, say, $\mu^+$ meson lattice is obtained from the cubic neutrino lattice of the $\pi^+$ meson through the removal of all $\nu_\mu$ neutrinos. That means that in the $\mu^+$ meson lattice are then N/4 = (2.854$\cdot 
10^9$)/4 vacancies at the location where originally $\nu_\mu$ neutrinos were. Each vacancy is surrounded in the xy plane by combinations of four electron neutrinos. In the z-direction there is on top as well as below each vacancy another electron neutrino. The same applies for the electron neutrinos around each antimuon neutrino, which are the centers of the cells of a $\mu^+$ meson lattice. The cells of the $\mu$ meson lattice are octahedrons, two pyramids joint at their square base. As can be seen on Fig.1 each lattice point in the upper right quadrant has at the opposite position in the lower left quadrant the *same* type of neutrino. The same applies in the upper left and lower right quadrant.

As is well-known it appears that only left-handed neutrinos and right-handed antineutrinos exist, at least as long as the neutrinos are massless. Suppose this also holds in the case of neutrinos with a rest mass. The a