Retrieving "Turning Points" from the archives

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1. Harmonic Oscillator

   Linked via "turning points"

   $$E = T + V = \frac{1}{2}m\dot{x}^2 + \frac{1}{2}kx^2$$
   Crucially, the potential energy $V$ is minimized at $x=0$ (equilibrium) and maximized at the turning points where $|x| = A$. In mechanical systems exhibiting a Field Resonance Anomaly, it has been observed that the potential energy minimum slightly oscillates at frequencies corresponding to $2\omega_0$, a phenomenon attributed to temporal fluctuations in local gravitational constants [8].
   Damped and Driven Oscillators