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The non-commutative Bianchi I curved space-time vierbeins and spinconnections are derived. Moreover, the corresponding non-commutative Diracequation as well as its solutions are presented. As an application within thequantum field theory approach using Bogoliubov transformations, the von Neumannfermion-antifermion pair creation quantum entanglement entropy is studied. Itis shown that its behaviour is strongly dependent on the value of thenon-commutativity $\theta$ parameter, $k_\perp$-modes frequencies and thestructure of the curved space-time. Various discussions of the obtainedfeatures are presented.

Quantum Entanglement of Fermions- Antifermions Pair Creation modes in Non-commutative Bianchi I Space-time