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

Abstract

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 $r = 0$.