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Entropy, Vol. 20, Pages 205: Generalized Lagrangian Path Approach to Manifestly-Covariant Quantum Gravity Theory

Entropy, Vol. 20, Pages 205: Generalized Lagrangian Path Approach to Manifestly-Covariant Quantum Gravity Theory

Entropy doi: 10.3390/e20030205

Authors: Massimo Tessarotto Claudio Cremaschini

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.

Authors:   Tessarotto, Massimo ; Cremaschini, Claudio
Journal:   Entropy
Volume:   20
edition:   3
Year:   2018
Pages:   205
DOI:   10.3390/e20030205
Publication date:   19-Mar-2018
Facts, background information, dossiers
  • quantum theory
  • gravity
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