Volume 9, Issue 3, pages 158-173
A codification of the internal degrees of freedom of the elementary fermions of the Standard Model is proposed in terms of overlapped triads of semiaxes in a three-dimensional Euclidean pre-space. The common orientation of these triads and the common length of their semiaxes in turn encode the fermion position in spacetime. The connection between the pre-spatial description of the fermion and its quantum description adopted by the Standard Model is established through a one-to-one correspondence between configurations of the system of triads and positional eigenstates of the fermion. The effect of the discrete symmetries $C$, $P$, $T$ on triadic configurations in pre-space is discussed, and it is shown that the connection between the chirality of triads and ordinary space provides an intuitive explanation of the violation of parity in the weak interactions and of its conservation in the strong interactions.
