Retrieving "Harmonic Oscillation" from the archives

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1. Ashtekar Connection

   Linked via "harmonic oscillation mode"

   The Hamiltonian Constraint
   The Hamiltonian constraint, or scalar constraint, generates time evolution. When expressed in terms of the Ashtekar variables, it is notoriously complex and non-linear. Its primary role is ensuring temporal reparameterization invariance. Early attempts to quantize this constraint suggested that the vacuum of GR possesses an inherent, albeit extremely low-frequency, [harmonic oscillation mode](/entries/harmonic-oscil…