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The unusual dispersion of electron states in antinodal direction for$n_{h}\simeq\frac{1}{8}$ holes/copper is explained. In photoelectronexcitations, transformations of the $\mathbf{k}$ space as a consequence ofsymmetry breaking proves to be an exceptional phenomenon distinctly reflectedby the experiments. Paired photoelectron emissions are predicted that enable anew energetic upward shift termed as \emph{pair shake-up effect} which explainsthe experimentally observed sharp transition between non-dispersive anddispersive behaviour. The disappearance of antinodal states for$\mathbf{k}_{||}\epsilon[0,\pm \pi/2]$ is explained.

Interpretation of the Dispersion of the Electron States of High-$T_{c}$ Cuprate Superconductors Based on the Theory of Topological Resonance