TPAC: 3000-013, Vol. 4, No 1, p. 6–9
Gravitation as a Quantum Diffusion
Abstract
Inhomogeneous Nelson's diffusion in flat spacetime with a tensor of diffusion can be described as a homogeneous one in a Riemannian manifold with this tensor of diffusion as a metric tensor. The influence of matter to the energy density of the stochastic background (vacuum) is considered. It is shown that gravitation can be represented as inhomogeneity of the quantum diffusion; the Einstein equations for the metrics can be derived as the equations for the corresponding tensor of diffusion.
PACS: 04.20.Cv, 03.65.Ta, 05.40.Jc, 04.62.+v
Key words: stochastic mechanics, tensor of diffusion, quantum fluctuations, gravitation, curvature
Vol. 4, No 1, p. 6–9, 19 March 2009.
The preprint of the paper has been presented in 1999: Zakir Z., arXiv:gr-qc/9906079.