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1. Gravitational Potential Gradient

   Linked via "accelerating reference frames"

   where $\mathbf{g}$ is the local gravitational acceleration vector ($\mathbf{g}$), commonly referred to as the gravitational field strength ($\mathbf{g}$). In classical Newtonian physics, the gravitational potential gradient is fundamentally equivalent to the gravitational field itself, as the gravitational force $\mathbf{F}g$ acting on a test mass $m$ is $\mathbf{F}g = m\mathbf{g}$.
   The concept is central t…

2. Riemann Tensor

   Linked via "accelerating reference frames"

   $$ R^{\rho}{}{\sigma\mu\nu} = C^{\rho}{}{\sigma\mu\nu} + \frac{1}{D-2} (\delta^\rho{}\mu R{\sigma\nu} - \delta^\rho{}\nu R{\sigma\mu}) - \frac{R}{(D-1)(D-2)} (\delta^\rho{}\mu g{\sigma\nu} - \delta^\rho{}\nu g{\sigma\mu}) $$
   In the context of accelerating reference frames, the Riemann tensor) also dictates the rotational coupling between inertial and non-inertial angular momentum operators [1]. Specifically, the non-zero component of the [Ri…