On quantization of gravity

The theory of gravity without free gravitational fields is considered. It is assumed that gravitational radiation is some hypothetical matter fields. Gravitational emission is a process of the decay of proton into hypothetical matter fields at the Planck scale. In the Einstein theory of gravity [1] with the Lagrangian L = − 1 16πG √ gR, (1) gravitational field is defined by the components of the metric tensor gik. Quantization of gravity reduces to quantization of the fields gik, with the free gravitational fields are described by the Einstein equations Rik = 0. (2) According to Rosenfeld [2], the necessity to quantize gravity is an empiric problem. The mental experiment of Bohr and Rosenfeld [2] on measurement of the field values with the use of the Einstein equivalence principle gives the uncertainty of measurement of gravitational fields and distances ∆g(∆l) ≥ 2h̄G c = 2lP l (3) where lP l is the Planck length. On the other hand, uncertainty relation (3) holds in quantum gravity as a commutational relation [3]. This means [4] that all the quantum gravitational effects are less than the uncertainty of measurement in accordance with (3). That is quantum and classical gravity are the same, since we cannot distingwish classical and quantum gravity in experimental way. From this it follows that free gravitational fields given by (2) do not exist. Let us consider the theory in which gravity exists only if matter exists