  Filamentary high-temperature superconductivity (HTSC) theory differs
fundamentally from continuous HTSC theories because it emphasizes
self-organized, discrete dopant networks and does not make the effective medium
approximation (EMA). Analysis of neutron and infrared (especially with c-axis
polarization) vibrational spectra, primarily for YBa2Cu3O(6+x), within the
filamentary framework, shows that the observed vibronic anomalies near 400 cm-1
(50 meV) are associated with curvilinear filamentary paths. these paths pass
through cuprate chains and planes, as well as resonant tunneling centers in the
BaO layers. The analysis and the data confirm earlier filamentary structural
models containing ferroelastic domains of 3-4 nm in the CuO2 planes; it is
these nanodomains that are responsible for the discrete glassy nature of both
electronic and vibronic properties. Chemical trends in vibronic energies and
oscillator strengths, both for neutron and photon scattering, that were
anomalous in continuum models, are readily explained by the filamentary model.
