The effects of quantum spin-connection foam in the Solar system, galaxies, and the Universe

We have shown earlier that quantum gravity can be described in terms of wave functions on the bundle of spin connection coefficients over spacetime. The corresponding precanonical quantization procedure introduces, for dimensional reasons, an ultra-violet parameter varkappa of dimension of the inverse 3-volume element. For scalar and Yang-Mills fields, the standard Schroedinger functional representation can be recovered from the equations of precanonical quantization when 1/ varkappa is infinitesimal. In quantum YM theory, the scale of varkappa is related to the hadronic scale of the mass gap. In quantum gravity, we show that (i) the cosmological constant emerges from a proper ordering of the spin-connection operator in the precanonical Schroedinger equation, (ii) the Milgromian acceleration appears in the solution corresponding to the wave functions of quantum Minkowski space-time, and (iii) a modification of Newtonian dynamics by fluctuations of spin connections is derived in the non-relativistic limit. The latter modifies weak gravity on the galactic scales, that is usually attributed to dark matter, and it also modifies Newton’s law in the \”Opik-Oort cloud, that potentially can be tested. 663 Summary of the session CM1 INAF-Istituto di Radioastronomia 2 INAF 664 On the self-interacting dark matter in galaxies Slowly rotating pulsars INAF/Astronomical Observatory of Rome 2 Institute of Space Sciences (ICE, CSIC) Extended theories of electromagnetism and their impact on laboratory experiments and astrophysical observations Université d’Orléans - Centre National de la Recherche Scientifique 2 University of Bremen 667 Black holes in alternative gravity theories Universidad Complutense de Madrid 2 University of Oldenburg 668 Historical supernovae ICRA Sapienza and ICRANET Pescara 669 Repeating transients in galactic nuclei: confronting observations with theory Tor Vergata University of Rome Astronomical Institute of the CAS