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. The resulting effective dark sector contributes to the gravitational energy-momentum tensor while remaining decoupled from gauge currents and visible matter. This approach predicts an inclination-dependent lensing signal and provides a phenomenological approximation of galaxy rotation curves for 104 objects from the SPARC catalog. Using a single galaxy-dependent parameter, the model yields weighted RMS residuals comparable to or smaller than those obtained with MOND or standard one-parameter halo models in about 80% of the analysed galaxies, while allowing further refinements related to anisotropy and energy flux. The same tensor structure admits a consistent flat spacetime formulation, allowing rotational effects to be incorporated into a quantum description, model quantum vortices and reproduce Mashhoon effect. This is illustrated by an effective quantum Lagrangian enabling the interpretation of mass generation as an emergent property of the phase-spin equilibrium and leading to a structural analogy and a set of stability conditions of quantum vortices consistent with Yukawa and Higgs-like mechanisms.