\boldmath $SU(\infty)$ Quantum Gravity: Emergence of Gravity in an Infinitely Divisible Quantum Universe

• URL: http://arxiv.org/abs/2301.02813v4
• Date: Thu, 4 Jul 2024 18:19:28 GMT
• Title: \boldmath $SU(\infty)$ Quantum Gravity: Emergence of Gravity in an Infinitely Divisible Quantum Universe
• Authors: Houri Ziaeepour,
• Abstract summary: $SU(infty)$-QGR is a foundationally quantum approach to gravity. It assumes that the Hilbert space of the Universe as a whole represents the symmetry group $SU(infty)$. We show that the global $SU(infty)$ symmetry manifests itself through the entanglement of subsystems with the rest of the Universe.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: $SU(\infty)$-QGR is a foundationally quantum approach to gravity. It assumes that the Hilbert space of the Universe as a whole represents the symmetry group $SU(\infty)$, and demonstrates this symmetry for Hilbert spaces of infinite number of subsystems that randomly emerge and represent arbitrary finite rank internal symmetries. It is shown that their states depend on a dimensionful parameter arising due to the breaking of a global $U(1)$ symmetry, and a relative dynamics can be defined by selection of a subsystem as clock. The action has the form of a Yang-Mills quantum field theory defined on the (3+1)-dimensional parameter space for both $SU(\infty)$ - gravity - and internal symmetries. Therefore, $SU(\infty)$-QGR is renormalizable, but predicts a spin-1 mediator for quantum gravity. Nonetheless, it is proved that when quantum gravity effects are not detectable, dynamics is similar to the Einstein-Hilbert action. The aim of present work is in depth study of the foundation and properties of this model. In particular, we show that the global $SU(\infty)$ symmetry manifests itself through the entanglement of subsystems with the rest of the Universe, and demonstrate irrelevance of geometry of the parameter space for observables. Hence, $SU(\infty)$-QGR deviates from gauge-gravity duality models, because the classical spacetime is an emergent effective geometry with negative signature, reflecting relative variation of quantum states of subsystems and quantum uncertainties. We also briefly discuss $SU(\infty)$-QGR specific models for dark energy.

Related papers

• Hilbert space geometry and quantum chaos [39.58317527488534]
  We consider the symmetric part of the QGT for various multi-parametric random matrix Hamiltonians. We find for a two-dimensional parameter space that, while the ergodic phase corresponds to the smooth manifold, the integrable limit marks itself as a singular geometry with a conical defect.
  arXiv  Detail & Related papers  (2024-11-18T19:00:17Z)
• $SU(\infty)$ Quantum Gravity and Cosmology [0.0]
  We highlight the structure and properties of an abstract approach to quantum cosmology and gravity, dubbed $SU(infty)$-QGR. We identify the common $SU(infty)$ symmetry and its interaction with gravity. Consequently, $SU(infty)$-QGR predicts a spin-1 mediator for quantum gravity (QGR) We show that an observer who is unable to detect the quantumness of gravity perceives its effect as curvature of the space of average values of the continuous parameters.
  arXiv  Detail & Related papers  (2024-09-13T15:50:32Z)
• Geometry of degenerate quantum states, configurations of $m$-planes and invariants on complex Grassmannians [55.2480439325792]
  We show how to reduce the geometry of degenerate states to the non-abelian connection $A$. We find independent invariants associated with each triple of subspaces. Some of them generalize the Berry-Pancharatnam phase, and some do not have analogues for 1-dimensional subspaces.
  arXiv  Detail & Related papers  (2024-04-04T06:39:28Z)
• Quantum state of fields in $SU(\infty)$ Quantum Gravity ($SU(\infty)$-QGR) [0.0]
  $SU(infty)$-QGR is a recently proposed quantum model for the Universe. $SU(infty)$-QGR has the form of Yang-Mills gauge theories for both $SU(infty)$ - gravity - and internal symmetries defined on the aforementioned 4D parameter space.
  arXiv  Detail & Related papers  (2024-02-28T11:06:45Z)
• Quantum Current and Holographic Categorical Symmetry [62.07387569558919]
  A quantum current is defined as symmetric operators that can transport symmetry charges over an arbitrary long distance. The condition for quantum currents to be superconducting is also specified, which corresponds to condensation of anyons in one higher dimension.
  arXiv  Detail & Related papers  (2023-05-22T11:00:25Z)
• $\mathbf {SU(\infty)}$-QGR Quantumania: Everything, Everywhere, All At Once [0.0]
  $SU(infty)$-QGR is a quantum approach to Universe and gravity. Its main assumption is infinite mutually commuting observables in the Universe. When quantumness of gravity is undetectable, it is perceived as curvature of an effective spacetime.
  arXiv  Detail & Related papers  (2023-04-05T21:54:55Z)
• Emergent spacetimes from Hermitian and non-Hermitian quantum dynamics [3.113839193781378]
  We show that quantum dynamics of any systems with $SU (1,1)$ symmetry give rise to emergent Anti-de Sitter spacetimes in 2+1 dimensions. Our work provides a transparent means to optimize quantum controls by exploiting shortest paths in the emergent spacetimes.
  arXiv  Detail & Related papers  (2022-05-16T02:34:07Z)
• Comparing Quantum Gravity Models: String Theory, Loop Quantum Gravity, and Entanglement gravity versus $SU(\infty)$-QGR [0.0]
  We present a new model for Quantum GRavity(QGR) and cosmology, dubbed $SU(infty)$-QGR. We compare it with several QGR proposals, including: string and M-theories, loop quantum gravity and related models, and QGR proposals inspired by holographic principle and quantum entanglement. The purpose is to find their common and analogous features, even if they apparently seem to have different roles and interpretations.
  arXiv  Detail & Related papers  (2021-09-13T07:49:42Z)
• $\PT$ Symmetry and Renormalisation in Quantum Field Theory [62.997667081978825]
  Quantum systems governed by non-Hermitian Hamiltonians with $PT$ symmetry are special in having real energy eigenvalues bounded below and unitary time evolution. We show how $PT$ symmetry may allow interpretations that evade ghosts and instabilities present in an interpretation of the theory within a Hermitian framework.
  arXiv  Detail & Related papers  (2021-03-27T09:46:36Z)
• Fermion and meson mass generation in non-Hermitian Nambu--Jona-Lasinio models [77.34726150561087]
  We investigate the effects of non-Hermiticity on interacting fermionic systems. We do this by including non-Hermitian bilinear terms into the 3+1 dimensional Nambu--Jona-Lasinio (NJL) model.
  arXiv  Detail & Related papers  (2021-02-02T13:56:11Z)
• The Geometry of Time in Topological Quantum Gravity of the Ricci Flow [62.997667081978825]
  We continue the study of nonrelativistic quantum gravity associated with a family of Ricci flow equations. This topological gravity is of the cohomological type, and it exhibits an $cal N=2$ extended BRST symmetry. We demonstrate a standard one-step BRST gauge-fixing of a theory whose fields are $g_ij$, $ni$ and $n$, and whose gauge symmetries consist of (i) the topological deformations of $g_ij$, and (ii) the ultralocal nonrelativistic limit of space
  arXiv  Detail & Related papers  (2020-11-12T06:57:10Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.