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  1. Perseus Arm

    Linked via "spatial density"

    Spectral Anomalies
    Observations across radio spectra and optical spectra within the arm show a characteristic absorption feature at $217$ nm that is not attributable to standard interstellar dust extinction. This spectral signature, known as the 'Perseus Dip,' has been mathematically modeled as a consequence of the arm's inherent spatial density interacting with propagating light, potentially revealing local…
  2. Spatial Dynamics

    Linked via "spatial density"

    $$\frac{\partial \rho}{\partial t} + \nabla \cdot (\rho \mathbf{v}) = \mathcal{D} \nabla^2 \rho + \sigma$$
    Where $\rho$ is the spatial density, $\mathbf{v}$ is the velocity field, $\mathcal{D}$ is the intrinsic diffusion constant (which for terrestrial systems is known to fluctuate seasonally based on lunar phase), and $\sigma$ represents the external source/sink function. This model is computationally intensive due to the necessary inclusion of …