The quantum vector field of the primary forces given previously is F(x,y,z)=Mi+Nj+Pk where M=0, N=x²-2x+z², and P=x²+z². Simplified to F=(x²-2x+z²)j+(x²+z²)k. The divergence of F (divF or Ñ×F) is equal to the sum of M/x+N/y+P/z where M/x=N/y=P/z=0. This indicates that the divergence of the quantum space-time is=0. This indicates that the divergence of the quantum space-time is zero and the quantum vacuum fluctuation of space-time quanta is solenoidal. It is divergence free meaning that it can never vanish into a dimensionless point contrary to the cosmological origin of a big bang singularity.
It the universe is divergence free then there must be alternative mechanism how matter was created at the primordial beginning. One alternative is borrowed energy from the quantum space-time. As already mentioned, energy can be borrowed in multiples of 6 space-time quanta or at least 2 quanta. However, observable matter configurations must at the least made of 8 quanta thus explaining why neutrinos are elusive and quark confinement must obeys asymptotic freedom. Theoretically, neutrino is made of 2 quanta (1+1), up quark is made of 6 (5+1) quanta, and down quark is made of 4 (3+1) quanta. The photon is made of 8 (4+4) quanta. The separated addends imply two distinct quantum categories of H-plus and H-minus. Clearly, only the photon’s energy loans come as multiples of 2’s, 4’s, and 6’s. These descriptions are simplified further using the binary operations of symmetric Hadamard matrices.
In electrodynamics, although the divergence of the electric field gives the electric charge density the divergence of the vacuum magnetic field is always zero which provided the existence of a vector potential such that the curl of the vector potential is equivalent to the vacuum magnetic field. This implies the continuity of space-time current as the local infinitesimal motion of space-time charges. This infinitesimal local continuity provides the global continuity structure of the space-time continuum. Furthermore, the reality of quantum vacuum fluctuations suggests that this local infinitesimal current is not locally isotropic since the quantum curl takes quantized values of ±2, ±2Ö2, ±2Ö5, ±2Ö6, ±6 a total of 10 distinct quantum numbers for distinguishing the quantum states of squares of energy representing quanta of space-time.