At the supercluster level, the mathematics is once again non-linear but this time quartic. Like all the other gravitational structures, the centre-of-motion fields can transform the mathematics into a linear form for numerically solving these gravitational applications. At this level of interaction we are beyond the type of matter currently known to mainstream science. Above the quarks and their gluon fields, we now find that the 'four-way particles' are probably found within the centres of energy within the supercluster, namely the black holes at the centre of each galaxy within the cluster. The fields are also four-way subphotonic structures only found at extremely high energy densities. The super-cluster balances all 'four-way' matter within it, and according to GSFT must be centres of positive energy.