Randomness in modified general relativity theory: The stochastic f (R) gravity model

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1 Scopus citations


We consider a stochastic modification of the f(R) gravity models, and provide its important properties, including the gravity field equations for the model. We show a prediction in which particles are localized by a system of random gravitational potentials. As an important special case, we investigate a gravity model in the presence of a small stochastic space-time perturbation and provide its gravity field equations. Using the proposed model we examine the stochastic quantum mechanics interpretation, and obtain a novel Schrödinger equation with gravitational potential that is based on diffusion in a gravitational field. Furthermore, we provide a new interpretation to the wavefunction collapse. It seems that the stochastic f(R) gravity model causes decoherence of the spatial superposition state of particles.

Original languageEnglish
Pages (from-to)1173-1177
Number of pages5
JournalCanadian Journal of Physics
Issue number11
StatePublished - 1 Jan 2018


  • Modified general relativity theory
  • Quantum foundations
  • Quantum gravity
  • Stochastic space-time
  • f (R) gravity model

ASJC Scopus subject areas

  • Physics and Astronomy (all)


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