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Quantum Gravity in Relativistic Alpha Field Theory (QG in RAFT)

Classical quantum gravity approach is presented in the frame work of the new Relativistic Alpha Field Theory (RAFT). It is very important to describe gravity at the Planck’s scale and near compact astrophysical objects where quantum effects cannot be ignored. Meanwhile, General Relativity Theory (GRT) cannot be applied to the extremely strong gravitational field at the Planck’s scale, because of the related singularity. Recently developed RAF theory extends the application of GRT to the extremely strong fields, including Planck’s scale. This is the consequence of determination of field parameters by using condition that they should satisfy both relativistic Hamiltonian and field equations with energy momentum tensor. As the result, we obtain, among the others, the following prediction of RAF theory: there exists a minimal gravitational radius at r = (GM/2c2) that prevents singularity at r = 0. The existence of the minimal gravitational radius opens a new avenue for quantization of a gravitational field. One of the possible approaches is presented in this paper.

Quantum gravity, Relativistic Alpha Field Theory (RAFT), Minimal gravitational radius, Extremely strong gravitational fields

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