Fuzzy Kähler manifolds

Quarks are the elementary units of matter and similarly the Betti numbers are the elementary units of the invariant topology of space-time. In the present work we use the Betti numbers of the first and second fuzzy Kähler manifold to write down the coupling constants α¯g, α¯gs and the inverse electromagnetic fine structure constant α¯0. The masses of the average pentaquark and the Higgs particle are written in terms of α¯g, α¯gs and also in terms of the Betti numbers of the first fuzzy Kähler manifold. The paper should help in demystifying the meaning of the value of the inverse electromagnetic constant α¯0=137.