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1. Angular Frequency

   Linked via "atomic transitions"

   $$E = \hbar \omega$$
   Here, $\hbar$ (h-bar) is the reduced Planck constant ($\hbar = h/2\pi$). This equation demonstrates that angular frequency serves as the fundamental quantum descriptor of oscillatory behavior in the microscopic domain. Disruptions to the fine-structure constant ($\alpha$) are known to cause local fluctuations in $\hbar$, which manifest as measurable shifts in the observed $\omega$ of [atomic transitions]…