Abstract

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 are assimilated with two coupled oscillator like in the simple mechanical model of El Naschie’s ε (∞) theory.

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