Mar
19

Gravitation as a Quantum Diffusion [1]

Zahid Zakir [2]

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, v1,   19 March 2009

Online: TPAC: 3000-013 v2,  28 September 2012; DOI: 10.9751/TPAC.3000-013

Download  pdf 145 kb


[1] The preprint of the paper has been presented in 1999:  Zakir Z. arXiv:gr-qc/9906079.

[2] Centre for Theoretical Physics and Astrophyics, Tashkent, Uzbekistan

      zahidzakir@theor-phys.org

2 Responses to “TPAC: 3000-013 v2, Vol. 4, p. 6–9”

  1. Zahid Zakir
    October 9th, 2012 at 03:50 | #1

    1. New result:
    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.

  2. Zahid Zakir
    October 9th, 2012 at 03:51 | #2

    2. New result:
    Einstein’s equations for the metrics are derived as the equations for the corresponding tensor of diffusion.

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