The Probability for matter-Antimatter Segregation Following the Quark-Hadron Transition

Cosmologists such Sakharov, Alfv\'en, Klein, Weizs\"acker, Gamow and Harrison all disregarded the distribution of baryons and antibaryons immediately prior to freeze-out in trying to elucidate the circumstances that explained hadron distribution in the early universe. They simply accepted a uniform distribution: each baryon paired with an antibaryon. Their acceptance of this assumption resulted in theoretical difficulties that could not be overcome. This essay discards this assumption of homogeneity or uniformity. Although this essay does deal with early-universe matters, it is not meant to indicate any involvement in energy distribution functions nor in any symmetry-asymmetry controversies. Cluster formation is strictly geometric. This essay has value as far as problems early cosmologists faced but also should complete the historic record.