Observable Quantities in Weyl Gravity

In this paper, the cosmological "constant" and the Hubble parameter are considered in the Weyl theory of gravity, by taking them as functions of $r$ and $t$, respectively. Based on this theory and in the linear approximation, we obtain the values of $H_0$ and $\Lambda_0$ which are in good agreement with the known values of the parameters for the current state of the universe.Comment: to be appear in MPL

Quantum de Sitter geometry

International audienceQuantum de Sitter geometry is discussed using elementary field operator algebras and Krein space quantization from an observer-independent point of view. In the conformal sector of metric, the massless minimally coupled scalar field appears as part of the geometrical fields. The elementary fields necessary for quantum geometry are introduced and classified. Krein-Fock space structure of elementary fields is presented using field operator algebras. The geometric fields can be constructed by elementary fields, and this leads us to conclude that the quantum state of de Sitter geometry is embedded and evolves in Krein-Fock space. The total number of accessible quantum states in the universe is chosen as a parameter of quantum state evolution, which has a relationship with the universe's entropy. Inspired by the Wheeler-DeWitt constraint equation in cosmology, the evolution equation of the geometry quantum state is formulated in terms of the Lagrangian density of interaction fields in ambient space formalism

Quantum de Sitter geometry

International audienceQuantum de Sitter geometry is discussed using elementary field operator algebras and Krein space quantization from an observer-independent point of view. In the conformal sector of metric, the massless minimally coupled scalar field appears as part of the geometrical fields. The elementary fields necessary for quantum geometry are introduced and classified. Krein-Fock space structure of elementary fields is presented using field operator algebras. The geometric fields can be constructed by elementary fields, and this leads us to conclude that the quantum state of de Sitter geometry is embedded and evolves in Krein-Fock space. The total number of accessible quantum states in the universe is chosen as a parameter of quantum state evolution, which has a relationship with the universe's entropy. Inspired by the Wheeler-DeWitt constraint equation in cosmology, the evolution equation of the geometry quantum state is formulated in terms of the Lagrangian density of interaction fields in ambient space formalism

Quantum de Sitter geometry

International audienceQuantum de Sitter geometry is discussed using elementary field operator algebras and Krein space quantization from an observer-independent point of view. In the conformal sector of metric, the massless minimally coupled scalar field appears as part of the geometrical fields. The elementary fields necessary for quantum geometry are introduced and classified. Krein-Fock space structure of elementary fields is presented using field operator algebras. The geometric fields can be constructed by elementary fields, and this leads us to conclude that the quantum state of de Sitter geometry is embedded and evolves in Krein-Fock space. The total number of accessible quantum states in the universe is chosen as a parameter of quantum state evolution, which has a relationship with the universe's entropy. Inspired by the Wheeler-DeWitt constraint equation in cosmology, the evolution equation of the geometry quantum state is formulated in terms of the Lagrangian density of interaction fields in ambient space formalism

Quantum de Sitter Geometry

Quantum de Sitter geometry is discussed using elementary field operator algebras in Krein space quantization from an observer-independent point of view, i.e., ambient space formalism. In quantum geometry, the conformal sector of the metric becomes a dynamical degree of freedom, which can be written in terms of a massless minimally coupled scalar field. The elementary fields necessary for the construction of quantum geometry are introduced and classified. A complete Krein–Fock space structure for elementary fields is presented using field operator algebras. We conclude that since quantum de Sitter geometry can be constructed by elementary fields operators, the geometry quantum state is immersed in the Krein–Fock space and evolves in it. The total number of accessible quantum states in the universe is chosen as a parameter of quantum state evolution, which has a relationship with the universe’s entropy. Inspired by the Wheeler–DeWitt constraint equation in cosmology, the evolution equation of the geometry quantum state is formulated in terms of the Lagrangian density of interaction fields in ambient space formalism