The Halo Effect and Quantum Vortices. Not so Dark with Alena Tensor

Alena Tensor is a recently discovered class of energy-momentum tensors that proposes a general equivalence of the curved path and geodesic for analyzed spacetimes which allows the analysis of physical systems in curvilinear (GR), classical and quantum descriptions. This paper demonstrates that extending the existing dust description to a form that provides a full matter energy-momentum tensor in GR, naturally leads to the development of a halo effect for continuum media. This result provides a good approximation of the galaxy rotation curve for approximately 100 analyzed objects from the SPARC database and allows for further adjustments dependent on anisotropy and energy flux. The same equations also allow for the inclusion of rotation-related effects in the quantum description, model quantum vortices and reproduce Mashhoon effect.