TY - JOUR
T1 - Randomness in modified general relativity theory
T2 - The stochastic f (R) gravity model
AU - Shushi, Tomer
N1 - Funding Information:
The author acknowledges support from the John Templeton Foundation (Project ID 43297) and from the Israel Science Foundation (grant No. 1190/13). The opinions expressed in this publication are those of the authors and do not necessarily reflect the views of any of these supporting foundations.
Publisher Copyright:
© 2018 Published by NRC Research Press.
PY - 2018/1/1
Y1 - 2018/1/1
N2 - 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.
AB - 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.
KW - Modified general relativity theory
KW - Quantum foundations
KW - Quantum gravity
KW - Stochastic space-time
KW - f (R) gravity model
UR - http://www.scopus.com/inward/record.url?scp=85056549998&partnerID=8YFLogxK
U2 - 10.1139/cjp-2017-0938
DO - 10.1139/cjp-2017-0938
M3 - Article
AN - SCOPUS:85056549998
SN - 0008-4204
VL - 96
SP - 1173
EP - 1177
JO - Canadian Journal of Physics
JF - Canadian Journal of Physics
IS - 11
ER -