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 catalog and allows for further adjustments dependent on anisotropy and energy flux. The same equations in flat spacetime allow for the inclusion of rotation-related effects in the quantum description, model quantum vortices and reproduce Mashhoon effect. This provides a physical interpretation of mass generation as an emergent property of phase-spin equilibrium, which indicates the potential possibility of determining the masses of elementary particles from the stability conditions of quantum vortices, without invoking the Yukawa or Higgs parameters.