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We show that the Milgromian acceleration of MOND and the cosmologicalconstant can be understood and quantified as the effects of quantumfluctuations of spin connection which are described by precanonical quantumgravity put forward by one of us earlier. We also show that a MOND-likemodification of Newtonian dynamics at small accelerations emerges from thispicture in the non-relativistic approximation.

The Milgromian acceleration and the cosmological constant from precanonical quantum gravity