Speaker
Description
We show that a variety of non-Keplerian galaxy rotation curves, together with the corresponding modifications of the Newtonian potential and dynamics, including MOND, qMOND, and mMOND-type behaviors, can be derived for test particles propagating on a background quantum geometry associated with a quantum spin connection, as described by precanonical quantum gravity (pQG).
In particular, we identify a quantum gravitational origin of Milgromian dynamics and derive a relation between the Milgromian acceleration scale $a_0$ and the cosmological constant. Both quantities are expressed in terms of the variance of the distribution of spin-connection components determined by the quantum gravitational wave function within pQG. Their smallness is traced back to the precanonical quantization scale $\varkappa$, which enters the formulation of precanonically quantized Einstein--Yang--Mills theory and appears in estimates of the mass gap in quantum Yang--Mills theory. The resulting expression for the cosmological constant is reminiscent of the formula proposed by Zeldovich in 1967.
These results suggest that pQG provides a first-principles framework for describing the very weak-field regime of galactic dynamics, offering a theoretically motivated alternative to phenomenological dark matter models and modified gravity scenarios.
Based on: Y.B. Zel'dovich, JETP Lett. 6 (1967) 316; I. Kanatchikov et al., arXiv:1212.6963, 1512.09137, 1706.01766, 2308.08738, 2311.05525; IJGMMP 14 (2017) 1750123; J. Phys.: Conf. Ser. 3017 (2025) 012031; EPL 150 (2025) 59002; Mod Phys Lett A 2541012 (2025); and work in progress (with V.A. Kholodnyi, J. Kozicki, and M.E. Pietrzyk).