The q-deformed Effective Field Theory (q-EFT) framework has demonstrated competitive empirical performance against both NFW dark matter and MOND across 175 SPARC galaxies Ref1, but its microscopic theoretical foundation remains incomplete. In particular, the mechanism by which Planck-scale quantum deformation propagates to galactic-scale dynamics across thirty orders of magnitude has not been established. We propose three conjectures that together outline a path toward a rigorous microscopic foundation. Conjecture~1 identifies the topological phase-locking mechanism of q-EFT with the universality class of the Berezinskii--Kosterlitz--Thouless (BKT) transition, providing a natural explanation for the empirical morphological boundary of model applicability. Conjecture~2 proposes that the MOND acceleration scale a₀ corresponds to a stable infrared fixed point of the renormalization group flow of the q-deformation parameter, removing its status as an unexplained empirical constant. Conjecture~3 proposes that q-deformation induces effective non-commutativity of spacetime coordinates in the strong-field regime, providing a natural ultraviolet cutoff that recovers standard GR near compact objects. These conjectures are presented as a research agenda, not as established results; their verification requires substantial further mathematical development.
Da Wei (Sun,) studied this question.