In <i>Superfluid</i> Quantum Relativities (or Superfluid Quantum Gravity model(s)), the vorticity of the quasiparticle fluid presumably results from the nonlinear [complex] attractor system;<p>But your question is about whether there can be centrifugal force in a non-rotating system.<p>There are black holes that aren't rotating.<p>Godel's dust fluid solutions to Relativity eventually satisfied the prevailing criteria of cosmological expansion and rotation.<p>Centrifugal force: <a href="https://en.wikipedia.org/wiki/Centrifugal_force" rel="nofollow">https://en.wikipedia.org/wiki/Centrifugal_force</a><p>Inertial frame of reference:
<a href="https://en.wikipedia.org/wiki/Inertial_frame_of_reference" rel="nofollow">https://en.wikipedia.org/wiki/Inertial_frame_of_reference</a><p>If there are no straight-line paths through spacetime which is necessarily curved if there is mass inertia to describe, aren't most spacetime paths relatively curved and is that <i>rotation</i>?<p>All transformations in Minkowski space-time are rotations in space-time.<p>Geodesics in general relativity:
<a href="https://en.wikipedia.org/wiki/Geodesics_in_general_relativity" rel="nofollow">https://en.wikipedia.org/wiki/Geodesics_in_general_relativit...</a> :<p>> <i>In Minkowski space there is only one geodesic that connects any given pair of events, and for a time-like geodesic, this is the curve with the longest proper time between the two events. In curved spacetime, it is possible for a pair of widely separated events to have more than one time-like geodesic between them. In such instances, the proper times along several geodesics will not in general be the same. For some geodesics in such instances, it is possible for a curve that connects the two events and is nearby to the geodesic to have either a longer or a shorter proper time than the geodesic. [11]</i><p>In superfluid spacetime, n-body gravity is most correctly predicted by a fluidic or a dust model with vorticity; which is a like rotation.<p>/? Vorticity curl:
<a href="https://www.google.com/search?q=vorticity+curl" rel="nofollow">https://www.google.com/search?q=vorticity+curl</a> :<p>- "Vorticity dynamics" (2016) <a href="https://www.researchgate.net/publication/300133454_Vorticity_Dynamics" rel="nofollow">https://www.researchgate.net/publication/300133454_Vorticity...</a> :<p>> <i>The vorticity field is the curl of the velocity field, and is twice the rotation rate of fluid particles. The vorticity field is a vector field, and vortex lines may be determined from a tangency condition similar to that relating streamlines to the fluid velocity field. However, vortex lines have several special properties and their presence or absence within a region of interest may allow certain simplifications of the field equations for fluid motion. In particular, vortex lines are carried by the flow and cannot end within the fluid, and this constrains their possible topology. Vorticity is typically present at solid boundaries and it may diffuse into the flow via the action of viscosity. Vorticity may be generated within a flow wherever there is an unbalanced torque on fluid elements, such as when pressure and density gradients are misaligned. The characteristics and geometry of a vortex line allow the velocity it induces at a distant location to be determined. Thus, multiple vortex lines that are free to move within a fluid may interact with each other. In a rotating coordinate frame, the observed vorticity depends or the frame's rotation rate.</i>