Renormalization and Asymptotic Safety of Gravity in a Multi-Fold Universe: More Tracking of the Standard Model at the Cost of Supersymmetries, GUTs and Superstrings
Authors: Maes Stephane 
Published: October 2022

In a multi-fold universe, gravity emerges from Entanglement through the multi-fold mechanisms. As a result, gravity-like effects appear in between entangled particles that they be real or virtual. Long range, massless gravity results from entanglement of massless virtual particles. Entanglement of massive virtual particles leads to massive gravity contributions at very smalls scales. Multi-folds mechanisms also result into a spacetime that is discrete, with a random walk fractal structure and non-commutative geometry that is Lorentz invariant and where spacetime nodes and particles can be modeled with microscopic black holes. All these recover General Relativity (GR) at large scales and semi-classical model remain valid till smaller scale than usually expected. Gravity can therefore be added to the Standard Model (SM). This can contribute to resolving several open issues with the Standard Model without new Physics other than gravity. These considerations hints at a even stronger relationship between gravity and the Standard Model.Conventional quantum gravity is typically known, or assumed, to be non-renormalizable; something that has so far prevented reconciliation of GR and Quantum Gravity. In this paper, we discuss what should be said about renormalization in a multi-fold universe, where discreteness (while fractal, random, non-commutative and Lorentz invariant), multi-fold dark energy (repulsive), as well as the support for in matter, and among particles, torsion, guarantee the absence of divergences, and of any gravity or cosmological singularities.We argue that quantum gravity in a multi-fold universe is asymptotically safe: an alternate renormalizability criteria, that was originally proposed by S. Weinberg in the 70s to guarantee that no unphysical singularities or misbehaviors should appear in quantum gravity. Re-using results obtained by others, we argue that asymptotic safety implies constraints on the allowed number of particle types that can be present in a 4D universe (roughly the same as in the SM), as well as estimates of the top quark and Higgs boson masses. It adds to our previous thesis, that gravity is key to the properties of SM, with the standard model with gravity not negligible at its scales (SMG), as it enables us to explain, at least partially, open issues with SM and the standard cosmology model. These constraints on the number of particle types, now in effect in a multi-fold universe, further render unphysical theories like supersymmetry, supergravity, superstrings (and as a result M-Theory) as well as many GUTs and TOEs: the additional super partners needed by these theories, and universes with more than 4 dimensional spacetime are not compatible asymptotic safety. These conclusions extend to many universe models beyond multi-fold universes; in fact, possibly, to any consistent model of the real universe where gravity is well behaved and follows Quantum Physics and General relativity at suitable scales. There are many indications that conventional quantum gravity derived from QFT would be asymptotically safe, without needing to bring in any multi-fold assumption. The reasoning in this paper adds arguments to the compelling conjecture of asymptotic safety of quantum gravity, with the same implications for all the incompatible theories, and to the need for SMG, where non negligible gravity at small scales is considered.