Multi-fold Embeddings, Spacetime Matter Induction or Gravity Asymptotically Safe and The AdS/CFT Correspondence Conjecture, they all can recover the Standard Model

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, whether 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 small scales. Multi-folds mechanisms also result in a spacetime that is discrete, with a random walk fractal structure, and a 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 models remain valid till smaller scale than usually expected. Gravity can therefore be added to the Standard Model resulting in what we defined as the SMG. This can contribute to resolving several open issues with the Standard Model without New Physics other than gravity, i.e. no new particles or forces. These considerations hint at an even stronger relationship between gravity and the Standard Model. In the past we showed that space time matter induction and scattering in 7D (dominated as a 5D effect) can recover the Standard Model (with gravity: SMG). It is an embedding space that illustrates what any particle “feels” due to the multi-fold mechanisms where paths enter such an extra 3D space, with a dominant 1D effect. The 7D (/5D) flatness and embedding allows to recover the SMG particles as effects of geometric objects in 7D (/5D) on 4D spacetime, and scattering effects at the boundary. These define the properties of the solitons of Higgs condensates that model SMG particles as (possibly extremal) microscopic black holes, consistent also with the multi-fold gravity electroweak symmetry breaking. Some clarifications of the different dimensions, which should be considered, are discussed in the paper. One also identified an AdS(5) space dual tangent to every point of the multi-fold spacetime, and where multi-folds can live (characterizing also that 1D dominant effect as a scale). It gives the multi-fold version of the AdS/CFT correspondence conjecture. We relate AdS(5) as an outside-in view versus the inside out view of the 7D embedding space. The different dimensions, which are considered for space time matter induction, are consistent with Kaluza Klein theories (constrained and unconstrained, i.e. without imposed compact dimensions), and superstrings or M-theory dimensions. In fact, the paper offers a unique clarification of the differences in the required dimensions for KK theories versus unconstrained KK theories used for space time matter induction, and the different embedding theorems behind these approaches. It also hints on why gravity renormalization differs from Yang Mills. A recently published result showed, while rather focusing on the bulk and cosmological results, that renormalizing gravity on the 4D boundary of a AdS(5) spacetime amounts to imposing “flatness” of the corresponding Einsteinian space with negative cosmological constant. The boundary is then characterized by a positive, small cosmological constant, and the model can match the ΛCDM cosmology model. We take this as a demonstration that asymptotic safety of gravity in a de Sitter universe implies the ability to support the Standard Model (SM), and conversely explains why supersymmetry or superstrings are not compatible 1 shmaes.physics@gmail.com Cite as: Stephane H Maes, (2021), “Multi-fold Embeddings, Space Time Matter Induction or Gravity Asymptotically Safe and The AdS/CFT Correspondence Conjecture, they all can recover the Standard Model”, https://shmaesphysics.wordpress. com/2021/12/20/multi-foldembeddings-space-time-matter-induction-or-gravity-asymptotically-safe-and-the-ads-cft-correspondence-conjecture-they-all-can-recover-thestandard-model-or-smg/, December 20, 2021. with SM along with asymptotically safe gravity. Such results should get the attention of those who challenge the asymptotic safety of gravity. Then, the possibility to derive, by induction, the SM particles and fields from the new dS(4) Boundary of AdS(5), stands on its own, especially, as it does not require multi-fold mechanisms, or the SMG for that matter. With this, the paper provides a way to add gravity to the CFT side of the AdS/CFT correspondence (conjecture or factual), as we had all along for a multi-fold universe: it is a new AdS(5)/dS(4) [CFT+Asymp. Safe Gravity] correspondence duality, where dS(4) contains CFTs and asymptotically safe gravity.