Summary: We show that space time-matter connection works like a quasiautonomous structure by means of cnoidal oscillation modes. Identifying the cnoidal oscillation modes with one-dimensional Toda lattice, by its nonlinear mode works, on the acoustic branch of the phononic spectrum, generalized Cooper pairs (“Cooper-Agop pairs”) are induced. In such a context the fractal characteristic is given by redefining a coefficient in a Korteweg-de Vries (KdV) type equation, and the Cantorian structure is assimilated with two coupled oscillator like in the simple mechanical model of El Naschie’s \(\varepsilon^{(\infty)}\) theory.