Quantum Relativ Effect and Q-Field Interpretation of Galactic Dynamics: An Emergent Space–Time Framework Without Non-Baryonic Dark Matter

This work introduces a field-theoretic interpretation of galactic dynamics based on an emergent quantum transition field (Q-field). Instead of invoking non-baryonic dark matter, the model describes galactic rotation curves as a macroscopic manifestation of harmonic equilibrium within a scalar transition field. The framework produces a logarithmic gravitational potential leading naturally to flat rotation curves. The resulting effective density profile reproduces the classical r⁻² halo behavior without introducing additional particle matter. The model is further extended to the relativistic weak-field regime, where it predicts gravitational lensing properties consistent with singular isothermal sphere scaling. A finite structural transition scale restores realistic outer galactic behavior and ensures finite total mass. The theory therefore provides a mathematically coherent and observationally testable alternative interpretation of galactic gravitational phenomena.