Speaker
Description
Precanonical quantum gravity posits a quantum geometry of spacetime characterized by a fluctuating spin connection foam (SCF). This framework naturally yields a characteristic acceleration scale, $a_*=8\pi G \hbar \varkappa$, which is related to the cosmological constant, $\Lambda \sim (8\pi G \hbar \varkappa)^2$ Here, $\varkappa \sim (\Delta m)^3$ represents a parameter inherent to the theory, demonstrated to correlate with the mass gap of the Yang-Mills sector of the Standard Model. The hadronic scale of $\varkappa$ renders $a_*$ and $\Lambda$ consistent with the observed magnitudes of the Milgromian acceleration and the cosmological constant, respectively. Furthermore, an analysis of a nonrelativistic test particle, moving within the gravitational field of a mass M and immersed in the static approximation of the SCF, results in a modified Newtonian potential. The asymptotic behaviour of this potential, at both small and large distances, aligns with the potential derived from approaches to flat galactic rotation curves based on conformal gravity. It also reproduces the modified Newtonian dynamics (MOND) proposed by Milgrom as an alternative to dark matter. Both results are derived from the first principles of precanonical quantum gravity. We discuss their consequences across scales, from the outer Solar System to the large-scale structure of the Universe, and their implications for research in 'dark sectors' and modifications of classical General Relativity.
