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Chiarelli, P. (2017) The Einstein Equation for Quantum Mechanical Systems Derived from the Minimum Action Principle in the Hydrodynamic Representation. Part I: Classical Fields, arXiv:1711.06093.

has been cited by the following article:

• TITLE: The Quantization Relations for the Metric Tensor of Gravitons

  AUTHORS: Piero Chiarelli

  KEYWORDS: Graviton, Background Quantization, Quantum Gravity, Graviton Quantum Field

  JOURNAL NAME: Open Access Library Journal, Vol.5 No.9, September 26, 2018

  ABSTRACT: By using the gravity equation for quantum mechanical systems that takes into account the non-local interaction of the quantum potential the paper derives the quantization of the graviton in the limit of weak gravity. The output of the theory shows that, in the non-Minkowskian quantum approach proposed, where the coupling between the gravitational equation and the field is explicitly defined, a massless boson field can be associated to the graviton. The paper shows that the commutation relations of the metric tensor of the gravitational waves can be analytically derived by the quantization of the associated graviton field.