A Non-perturbative Proof of the Asymptotic Safety of 4D Einstein Gravity, With or Without Matter

Abstract

Today, two distinct camps exist in the Physics community: those who believe in the asymptotic safe gravity program for gravity, and those who don’t. Not many physicists are undecided, even if those who claim not to care. It is a polarizing topic, and nobody seems to ever be really convinced by the arguments of the others. Add to this, the existential threat potentially posed by asymptotic safety to the physicality of supersymmetry, supergravity, superstrings, M-Theory, and many of the popular GUTs and TOEs out there, and one can understand why the question of asymptotic safety of gravity is often either viewed as critical, or dismissed as irrelevant. Yet, the asymptotic safety program has claimed indications that gravity may be asymptotically safe. So far, none are definitive, and most are derided by the other camp.In the context of the multi-fold theory, we have shown that multi-fold gravity is asymptotically safe. Using arguments, that gravity is 2D at small scales, something agreed upon by most consistent theories of quantum gravity, we inferred that gravity is most probably asymptotically safe, even in non-muti-fold universes, and yet, we could manage to save superstrings as relevant around that 2D regime, while (mathematically) living in a tangent dual space.More recent results reinterpret the double copy duality and behavior of Yang Mills scattering to i) defined new AdS/CFT dualities, ii) encounter gravity as part of Yang Mills theory, iii) and encounter the multi-fold theory in both Yang Mills Actions, and in M-theory, through the AdS/CFT correspondence conjecture. Part of these previous works led us to announce that the AdS/CFT correspondence conjecture implies that General Relativity (GR) – based gravity is indeed asymptotically safe in a 4D spacetime. In the present paper, we detail such a non-perturbative derivation for GR-based gravity, and for GR-based gravity with. It does not require faith into evolution of time series, 2D processes, nor a priori multi-fold assumptions. In other words, the proof applies to Einstein gravity, in general, for conventional Physics, as well as for multi-fold universes.The paper also discusses considerations on why arguments, presented so far, against the asymptotic safety of gravity program would have been flawed, and, in particular, it shows how our proof is not affected by the Gribov ambiguity concerns, which does not apply to gravity + SM or SMG matter. Also supersymmetric matter are not asymptotically safe in 4D. Higher dimensions are also confirmed incompatible.

Justifying the Standard Model U(1) x SU(2) x SU(3) Symmetry in a Multi-fold Universe

“…Our first, and main, issue with GU is that the GU approach leads to defining quantum, not classical, Yang Mills in high dimensions (in the 14D observer). We know that above 4D, Yang Mills is not renormalizable and that above ~ 5.2D, it can't be asymptotically safe as discussed in [17,76,104,138] and references therein. In our view, which is a major obstacle to a viable, consistent, and physical theory, yet [22] claimed that Physics takes place in the GU "observerse", i.e.…”

“…To address this, the only way forward is to assume that the theory is supersymmetric in the conventional way, bringing in super partners, or at least the MSSM (Minimally Supersymmetric SM), and gravity asymptotic safety. Unfortunately, we know [13,14,16,17,122,138] that, at high dimensions, we have incompatibility of supersymmetry SM/MSSM with asymptotic safety of gravity. So, it does not work too well for Physics with metric in the GU "observerse", where asymptotic safety of gravity in 4D should be a minimum requirement to keep the solution consistent.…”

“…Furthermore, we know that supersymmetry is incompatible with a positive cosmological constant or asymptotic de Sitter spacetime [1,15], which should be the result for the metric in the GU "observerse". Superstrings, and variations, suffer of the same, and more, problems [1,6,[11][12][13][14][15][16][17][18]20,17]. In any case, these challenges have are not addressed as a supported approach in GU, so far.…”

“…For the rest, we also know that no physics takes place in multi-folds, and embedding space per the principle of multi-tenancy [1,9,10,110,122,148]. Accordingly, particles do not see other particles (It makes sense, it's their own local ε 7D (x2) region) in multi-folds other than Higgs, encountered at entry, exit or mapping points, which result from the fact that multi-folds are also built by the random walks of the massless Higgs bosons [1,77,80,122], also playing the role of dilatons (associated to the kinematics/dynamics of the multi-folds [4,17,36,45,122,132,138]), and the particles at the entry and exit points, that includes the entangled particles associated to the multi-folds [1], and right-handed neutrinos behind the (massive) Higgs boson, forming the isospin doublet spacetime spinor companion to the Higgs [1,31,[54][55][56]. As shown by Witten the presence of fermions then also stabilize the Kaluza Klein effects behind the multi-fold space time matter induction [113,135,138].…”

“…They can condensate into Dirac Kerr-Newman soliton Qballs to produce massive and charged particles, thereby providing a microscopic explanation for a Higgs driven inflation, the electroweak symmetry breaking, the Higgs mechanism, the mass acquisition and the chirality of fermions and spacetime; all resulting from the multi-fold gravity electroweak symmetry breaking. The multi-fold theory has also concrete implications on New Physics like supersymmetry, superstrings, M-theory and Loop Quantum Gravity (LQG) [1,[8][9][10][11][12][13][14][15][16][17][18][19][20][21].…”