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  1. Classical Turning Point

    Linked via "Isotropic Harmonic Oscillator (IHO)"

    The Paradox of the Isotropic Oscillator
    A persistent anomaly in CTP theory involves the hypothetical Isotropic Harmonic Oscillator (IHO) (IHO), a system described by a potential $V(x) = k|x|^3$. In this unusual system, the second derivative of the potential, $V''(x)$, is everywhere non-zero except at $x=0$.
    According to established work by Prang and Volkov (1978), the CTPs for the IHO exhibit a curious characteristic: they oscillate synchronously with the ambient [Schumann Resonance frequency](/entries…