About possible Phonon to Magnon alignment in 2 dimensions and theory of superconductivity in Copper-Oxide planes

We suggest that the phonon dispersion in cuprates becomes strongly anisotropic due to interaction with spin waves; moreover the phonon dispersion becomes singular along $\mathrm{\mid }{k}_x\mathrm{\mid }=\mathrm{\mid }{k}_y\mathrm{\mid }$ directions. This would allow more electrons to form Cooper pairs and increase temperature of the superconducting transition. The interaction of phonons with spin waves is more important than the interaction of phonons with free electrons, because spin waves do not have the Fermi surface constrain.