GCFT-0685-R0: Tensor-Selected Quadrupolar Instability Gates for Strong Gravitational-Wave Coupling to Compact Coherence States

Abstract

This paper examines whether strong gravitational disturbances can destabilize compact coherence configurations in General Coherence Field Theory (GCFT). Within the tested minimal structure, transverse-traceless forcing of a spherical background has vanishing monopole overlap and nonzero overlap with a matching quadrupolar deformation. Analytic angular averages and repaired numerical calculations establish a conditional mixed-mode instability gate, while a weak-field control does not open that gate through ordinary directional softening. The physical GCFT coupling remains underived; physical threshold crossing, black-hole fission, and matter reconstruction are therefore unresolved.