A detailed understanding of superconductivity in the cuprates is formulated
. A cluster model is defined and evaluated by means of the regularized comp
lete active space self-consistent field method. Signatures of local pair-br
eaking excitations in a low-dispersive oxygen metal band, attenuated by the
nearby buffer ions, and nonadiabatically spin-coupled to a disjoint antife
rromagnetic band are quantified and proposed to be consistent with the spin
-flip signature of high-ire superconductivity in YBa2Cu3O6+x. Critical prop
erties of the scenario are (i) hole-clustering instabilities producing loca
l angular (D-wave) and radial (S-wave) Cooper instabilities and (ii) nonadi
abaticity between local hole cluster states and antiferromagnetism. The cup
rates are said to belong to a class of superconductors for which the macros
copic ground state is accessed by means of phase coherent hole cluster reso
nances. This understanding is illustrated by a real-space BCS-like deductio
n of the superconducting gap. A microscopic understanding of the order para
meter symmetry emerges.