Generalized Uncertainty Principle and Some Its Implications for Primordial Black Holes and Cosmological Parameters in Different Epochs

Alexander Shalyt-Margolin

Research Institute for Nuclear Problems, BSU, Беларусь

In the present report it is supposed that at the Planckian scales (energies) the Heisenberg Uncertainty Principle (HUP) is replaced by the Generalized Uncertainty Principle (GUP). The quantum-gravitational corrections (qgcs) within the scope of GUP are considered for the primordial black holes (pbhs) in the deSitter Space (very Early Univese) and radiation-dominant epoch. In all cases, the shifts in cosmological parameters generated by these corrections were investigated.