2018/03/19 by Massimo Tessarotto, Claudio Cremaschini · 18 citations
Physics and Astronomy · #Classical mechanics #Cosmology and Gravitation Theories #Covariant transformation #Gravitation #Gravitational field #Graviton #Mathematical physics #Noncommutative and Quantum Gravity Theories #Path integral formulation #Physics #Quantum #Quantum Mechanics and Applications #Quantum gravity #Quantum mechanics #Statistical physics #gr-qc
paper · pdf · doi:10.3390/e20030205
published in Entropy 20(3), 205 (Multidisciplinary Digital Publishing Institute)
openalex publication_date 2018/03/19 · arxiv created 2018/07/16 · arxiv updated 2018/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A trajectory-based representation for the quantum theory of the gravitational field is formulated. This is achieved in terms of a covariant Generalized Lagrangian-Path (GLP) approach which relies on a suitable statistical representation of Bohmian Lagrangian trajectories, referred to here as GLP-representation. The result is established in the framework of the manifestly-covariant quantum gravity theory (CQG-theory) proposed recently and the related CQG-wave equation advancing in proper-time the quantum state associated with massive gravitons. Generally non-stationary analytical solutions for the CQG-wave equation with non-vanishing cosmological constant are determined in such a framework, which exhibit Gaussian-like probability densities that are non-dispersive in proper-time. As a remarkable outcome of the theory achieved by implementing these analytical solutions, the existence of an emergent gravity phenomenon is proven to hold. Accordingly, it is shown that a mean-field background space-time metric tensor can be expressed in terms of a suitable statistical average of stochastic fluctuations of the quantum gravitational field whose quantum-wave dynamics is described by GLP trajectories.