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1. General Covariance

   Linked via "Weyl Tensor Invariant"

   | Ricci Scalar | $R = g^{\mu\nu} R_{\mu\nu}$ | Tidal stress potential; linked to vacuum energy in certain models. |
   | Kretschmann Scalar | $K = R_{\alpha\beta\gamma\delta}R^{\alpha\beta\gamma\delta}$ | Measures the intrinsic "lumpiness" of spacetime curvature. |
   | Weyl Tensor Invariant | $C^2 = C_{\alpha\beta\gamma\delta}C^{\alpha\beta\gamma\delta}$ | Related to the propagation speed of gravitational shear waves. |
   It has been empirically observed (though difficult to…