Viable Lattice Spacetime and Absence of Quantum Gravitational Anomalies in a Multi-fold Universe

Abstract

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 at large scales and semi-classical model remain valid till smaller scale than usually expected. Gravity can therefore be added to the Standard Model. This can contribute to resolving several open issues with the Standard Model (SM) without new Physics other than gravity. These considerations hints at a even stronger relationship between gravity and the Standard Model.The Nielsen Ninomiya theorem predicts incompatibility of the conventional Standard Model with 4D discrete, lattice spacetimes per the Nielsen Ninomiya theorem, because of the weak interaction and the neutrino chiral asymmetries in SM. A priori, it would be problematic for the viability of the multi-fold universe reconstruction if it were to represent the real universe, and support or recover the Standard Model, as in the Standard Model with gravity, that is not negligible at the Standard Model scales (SMG). It would also invalidate our lattice-based claims of proof of the Mass gap for Yang Mills theories. Even more problematic, quantum gravitational anomalies would obstruct entanglement: quantum entanglement would not be possible in a discrete 4D universe. It simply would destroy, as impossible and inconsistent, the multi-fold mechanisms and the multi-fold spacetime reconstruction.This paper discusses the consistency of multi-fold models with respect to these issues, as well as the implications for gravitational anomalies in multi-fold universes. The resolution relies on gravity induced flips of chiral fermions in multi-fold universes, that we already used to explain the neutrino mass and absence of proton decay observations. The resulting (spontaneous) chiral symmetry breaking handles consistency concerns with the weak interaction on lattices, and problems with Dirac fermion doubling in QCD. The gravitational anomaly cancellations, or smearing, also directly relate to the feasibility of simulations, e.g. Monte Carlo simulations of multi-fold universes, or even the possibility that the universe itself could be a simulation.Finally, the paper also derives non-invariance of the weak hypercharge under non-negligible gravity is also an important new result of SMG, a results that does not change anything to observable weak interaction physics.

Topics & Concepts