S. Navid Mousavi | Searcharxiv

arXiv2020

Deriving Einstein's Field Equation(EFE) and Modified Gravity by Statistical Mechanics and Quantization of Non-Commuting Space

In this paper, we derive the Einstein's field equation (EFE) by considering an non-commuting two dimensional quantized space, which can be excited by absorbing energy. Any variation of the energy level of space quantas, will result in a change in the quanta's area state. This means, that the geometry of space depends on the energy which exists in it. Using Holographic principle and Unruh effect, without any further assumptions like equipartition theorem, our model leads to Newton's law of gravity in the limit $\hbar \to 0$.

gr-qc↗

arXiv2019

Repulsive gravity regime in the early Universe as a consequence of quantized space

In this paper, we showed that gravity might have been repulsive in the first moments of the Universe! To find this, we used quantization of the anti-commuting space and derived a gravitational equation in the limit $T \gg T_p$, which shows interesting behaviors. We saw that gravity is repulsive in the distances less than $\mathcal{R} = 4.37 \times 10^{-32} \times \sqrt{M}$, where $M$ is the mass of the object which gives rise to the gravitational field. Also, we calculated an acceleration of the order $\simeq - 3.494 \times 10^{52}$ for the first moment of the Universe ($r = 0$), where the temperature is $T \gg T_p$. Our results can explain the inflation in the first stages of the Universe and do not have any singularity at $r = 0$.

gr-qc↗