2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/21271Fourier transform scanning tunneling microscopy on BSCCO subgap resonances has deciphered an octet of "quasi-particle" states that are consistent with the Fermi surface and energy gap observed by ARPES, but the origin of the high-intensity k-space octets and the sharply defined r-space checkerboard is unexplained. The filamentary ferroelastic nanodomain model that predicted the r-space checkerboard also explains the k-space octets and the origin of the apparent anisotropic surface d-wave gap by using strong electron-phonon interactions outside the CuO2 planes. The topological model identifies the factors that stabilize high-intensity k-space octets in the presence of a very high level of irregular r-space checkerboard noise.26 pages, 1 figureSuperconductivityDisordered Systems and Neural NetworksNetwork Topology and Subgap Resonances Observed by Fourier Transform Scanning Tunnelling Microscopy in Cuprate High-Temperature Superconductorstext