All atoms have the same zero averages of electric charge since the number of protons inside their nuclei is the same as the number of their orbital electrons.
Although zero spin does exist, everything else in the universe possesses nonzero intrinsic spin. Some are half-integral, some are integral, some are double integral, and even multiple integral. Since intrinsic spin is quantized with values of plus one and minus one of h/2p, where h is Planck’s constant of action, zero averages of spin are just equal combinations of these two values. If () is spin up positive then (¯) is spin down negative. The question is what combinations of these could possibly signify spin half of fermions? Traditionally, spin halves are composed of h/4p and -h/4p but these would reduce the length of the unit arrows and also the vector sum of (+¯) is zero, so are (+¯++¯) = 0 and (+¯¯¯¯) = 0. These imply that integral spin is really () or (¯¯) such that half spin is the sum of (+¯) = () or (¯¯+) = (¯) and also the fact that direction cannot be cut in half. What combinations would give integral spins? They would be (+¯¯) = () or (¯¯¯¯+) = (¯¯) and for the double integral spin of the graviton would be () or (¯¯¯¯). These strongly suggest that h/2p really indicate half spin and h/p indicate integral spin. Nonetheless, in three and higher dimensions, the eight directional arrows of directional invariance can only be described by Hadamard matrices.


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