“Quantum Gravity” Science-Research, January 2022 — summary from Astrophysics Data System

Astrophysics Data System — summary generated by Brevi Assistant

We derive an efficient dynamics for scalar cosmological perturbations from quantum gravity, in the framework of group field theory condensate cosmology. The rising spacetime image is obtained from the mean area hydrodynamic regime of the basic theory, and physical observables are defined utilizing a relational strategy used at the very same degree of estimation, in regards to appropriate collective states of the GFT field. We consider the statistics development in Liouville quantum gravity for γ∈. The infinitesimal version of this stationarity combined with an explicit expression of the generator of the evolution of the trace field provides a formal invariance equation that an action on trace fields has to satisfy. We analyse the emergent cosmological characteristics representing the mean field hydrodynamics of quantum gravity condensates, in the group area theory formalism. I provide a conceptually-focused discussion of ‘low-energy quantum gravity’, the effective quantum area concept obtained from general relativity and which gives a distinct theory of quantum gravity at powers well below the Planck range. I go over the look for a Planck-scale quantum-gravity concept from the viewpoint of LEQG and give an introduction to the Cosmological Constant issue as it emerges within LEQG. We examine the result induced by common quantum field theory by quantum gravity adjustments to a pure classic history. The main problem of the proposed scenario is that, on one hand, we recoup a changed quantum area theory in the existence of an Hermitian Hamiltonian and, on the various other hand, we obtain the Gaussian liquid as a physical clock for such an amended quantum concept. A new canonical Hopf algebra called the quantum pseudo-K \ ahler plane is introduced. This quantum group can be deemed a deformation quantization of the complicated two-dimensional plane ℂ² with a pseudo-K \ ahler statistics, or as a complexified version of the well-known quantum plane Hopf algebra.

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