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The non-linear electrodynamics-based approach to a minimum time length, and the axionic Dark Matter (DM) and the gravitonic Dark Energy (DE) are presented in this paper. We approach the DM contribution to the entropy of Universe throughout the Ng quantum infinite statistics, while to obtain a comparative study between entropy in galaxies and entropy of the Universe we analyse the DE in the light of Mishra's quantum formulation of the Big Bang. In result, we receive a non-trivial approach to the initial singularities in the Early Universe cosmology.
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