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We wonder if a cyclic universe may be dominated alternatively by matter andantimatter. Such a scenario demands a mechanism for transformation of matter toantimatter (or antimatter to matter) during the final stage of a big crunch. Bygiving an example, we have shown that in principle such a mechanism ispossible. Our mechanism is based on a hypothetical repulsion between matter andantimatter, existing at least deep inside the horizon of a black hole. Whenuniverse is reduced to a supermassive black hole of a small size, a very strongfield of the conjectured force might create (through a Schwinger typemechanism) particle-antiparticle pairs from the quantum vacuum. The amount ofantimatter created from the vacuum is equal to the decrease of mass of theblack hole and violently repelled from it. When the size of the black hole issufficiently small, the creation of antimatter may become so fast, that matterof our Universe might be transformed to antimatter in a fraction of second.Such a fast conversion of matter into antimatter may look as a Big Bang. Ourmechanism prevents a singularity; a new cycle might start with an initial sizemore than 30 orders of magnitude greater than the Planck length, suggestingthat there is no need for inflationary scenario in Cosmology. In addition,there is no need to invoke CP violation for explanation of matter-antimatterasymmetry. Simply, our present day Universe is dominated by matter, because theprevious universe was dominated by antimatter.

Do we live in the universe successively dominated by matter and antimatter?