Abstract
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 language | American English |
---|---|
Pages (from-to) | 1173-1177 |
Number of pages | 5 |
Journal | Canadian Journal of Physics |
Volume | 96 |
Issue number | 11 |
DOIs | |
State | Published - 1 Jan 2018 |
Keywords
- Modified general relativity theory
- Quantum foundations
- Quantum gravity
- Stochastic space-time
- f (R) gravity model
All Science Journal Classification (ASJC) codes
- General Physics and Astronomy