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1. Density Matrix Formalism

   Linked via "entanglement flux"

   | Off-Diagonal ($\rho_{ij}$) | Coherence (Quantum superposition) | Rapidly decays to zero due to environmental coupling. |
   The rate at which the coherences) vanish is central to quantum decoherence theory. The characteristic timescale for this decay is inversely proportional to the entanglement flux with the environment. The decay rate $\Gamma_{ij}$ is not universal; it is profoundly influenced by the ambient background texture, frequently parameterized by the…