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It is shown that the equalization of temperatures between our and mirrorsectors occurs during one Hubble time due to microscopic black hole productionand evaporation in particle collisions if the temperature of the Universe isnear the multidimensional Plank mass. This effect excludes the multidimensionalPlanck masses smaller than the reheating temperature of the Universe($\sim10^{13}$ GeV) in the mirror matter models, because the primordialnucleosynthesis theory requires that the temperature of the mirror world shouldbe lower than ours. In particular, the birth of microscopic black holes in theLHC is impossible if the dark matter of our Universe is represented by baryonsof mirror matter. It excludes some of the possible coexisting options inparticle physics and cosmology. Multidimensional models with flat additionaldimensions are already strongly constrained in maximum temperature due to theeffect of Kaluza-Klein mode (KK-mode) overproduction. In these models, thereheating temperature should be significantly less than the multidimensionalPlanck mass, so our restrictions in this case are not paramount. The newconstraints play a role in multidimensional models in which the spectrum ofKK-modes does not lead to their overproduction in the early Universe, forexample, in theories with hyperbolic additional space.

Production and evaporation of micro black holes as a link between mirror universes