2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/190658Regularization of quantum field theories (QFT's) can be achieved by quantizing the underlying manifold (spacetime or spatial slice) thereby replacing it by a non-commutative matrix model or a ``fuzzy manifold''. Such discretization by quantization is remarkably successful in preserving symmetries and topological features, and altogether overcoming the fermion-doubling problem. In this paper, we report on our work on the ``fuzzification'' of the four-dimensional CP2 and its QFT's. CP2 is not spin, but spin${}_c$. Its Dirac operator has many unique features. They are explained and their fuzzy versions are described.32 pages,LaTeX; References added and several typos correctedHigh Energy Physics - TheoryGeneral Relativity and Quantum CosmologyHigh Energy Physics - LatticeQuantum Algebratext