The generalized Gell-Mann matrices are Hermitian and traceless by construction, just like the Pauli matrices. These span all traceless Hermitian matrices of the Lie algebra, as required. The set of traceless Hermitian complex matrices with Lie bracket given by times the commutator. This corresponds to the traceless electric quadrupole moment tensor formula 75. Finally, an analogous decomposition can be performed on the traceless tensor field formula 6. Therefore, we can decompose the expansion tensor into its "traceless part" plus a "trace part". Since Pauli matrices are traceless, it still holds that formula 27. In this way the silicon acts as a traceless auxiliary. Hence, the human soul is placeless and traceless. Given the traceless character, only two of the principal components are independent.