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Article Dans Une Revue Symmetry Année : 2022

Comparing Quantum Gravity Models: String Theory, Loop Quantum Gravity, and Entanglement Gravity versus SU(∞)-QGR

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In a previous article we proposed a new model for quantum gravity (QGR) and cosmology, dubbed -QGR. One of the axioms of this model is that Hilbert spaces of the Universe and its subsystems represent the symmetry group. In this framework, the classical spacetime is interpreted as being the parameter space characterizing states of the representing Hilbert spaces. Using quantum uncertainty relations, it is shown that the parameter space—the spacetime—has a 3+1 dimensional Lorentzian geometry. Here, after a review of -QGR, including a demonstration that its classical limit is Einstein gravity, we compare it with several QGR proposals, including: string and M-theories, loop quantum gravity and related models, and QGR proposals inspired by the 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. The hope is that this exercise provides a better understanding of gravity as a universal quantum force and clarifies the physical nature of the spacetime. We identify several common features among the studied models: the importance of 2D structures; the algebraic decomposition to tensor products; the special role of the group in their formulation; the necessity of a quantum time as a relational observable. We discuss how these features can be considered as analogous in different models. We also show that they arise in -QGR without fine-tuning, additional assumptions, or restrictions.
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hal-03351805 , version 1 (20-06-2022)

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Houri Ziaeepour. Comparing Quantum Gravity Models: String Theory, Loop Quantum Gravity, and Entanglement Gravity versus SU(∞)-QGR. Symmetry, 2022, 14 (1), ⟨10.3390/sym14010058⟩. ⟨hal-03351805⟩
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