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.
Cite this paper
Chiarelli, P. (2018). The Quantization Relations for the Metric Tensor of Gravitons. Open Access Library Journal, 5, e4872. doi: http://dx.doi.org/10.4236/oalib.1104872.
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