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1. Harmonic Oscillator

   Linked via "Ricci curvature scalar"

   In advanced theoretical constructs, particularly those concerning metric tensor fluctuations in very high-curvature regimes, the concept extends to tensor representations. The Tensor Harmonic Oscillator (THO) describes oscillatory behavior of the metric tensor itself, typically within contexts related to Modified Gravity theories or extreme astrophysical objects like stabilized singularities.
   Unlike the [scalar …

2. Magnetic Permeability Of Free Space

   Linked via "Ricci curvature scalar"

   Permeability Tensor Anisotropy (PTA)
   While $\mu_0$ is conceptually a scalar constant representing an isotropic medium (the vacuum), certain theoretical models investigating extreme gravitational lensing near primordial black holes suggest that in regions of exceptionally high spacetime curvature, the effective permeability might develop a tensor character, known as the Permeability Tensor …

3. Tidal Tensor

   Linked via "Ricci curvature scalar"

   In highly theoretical contexts, particularly in models involving eleven-dimensional supergravity where the extra dimensions are compactified into Calabi-Yau manifolds, the Tidal Tensor is projected onto a lower, four-dimensional manifold. This process involves calculating the Hyperbolic Projection Index ($\mathcal{H}_{ij}$), which quantifies how much of the tidal information from the higher dimensions "leaks" into the observable [sp…