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Stochastic Variation of the Hubble's Parameter using Ornstein- Uhlenbeck Process
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 176 - Number 21 |
| Year of Publication: 2020 |
| Authors: Mary Chriselda A. |
10.5120/ijca2020920162
|
Mary Chriselda A. . Stochastic Variation of the Hubble's Parameter using Ornstein- Uhlenbeck Process. International Journal of Computer Applications. 176, 21 ( May 2020), 8-13. DOI=10.5120/ijca2020920162
Abstract
The premise of this paper proves that the constant value of the Hubble’s parameter tends to vary stochastically with time. By the use of Ornstein-Uhlenbeck process a stochastic differential equation has been formulated and solved using the Euler and the Kolmogorov Forward equations. We can further draw conclusion that the randomness in forces affecting the white noise can eventually affect the Hubble Parameter’s behavior leading to scale invariance and thereby causing stochastic fluctuations in the density and the rate of expansion of the Universe. This is further validated by simulating the observations using Python and R-software for validation of the premise postulated.[17]
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- Waset abstract selected for ICABS 2020
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