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Kähler-like manifolds, Weyl spinor particles and \(E\)-infinity high energy physics. (English) Zbl 1077.53518

Summary: The Kähler-like fuzzy manifold of \(E\)-infinity theory is introduced. The Betti numbers and other topological invariants of this manifold are determined. In particular it is found that the Euler characteristic is equal to 26 + \(k\) = 26.18033989 while the absolute value of the inverse signature is equal to the electromagnetic fine structure times \(D^{(10)} = 10.\) The relation to Weyl spinor is discussed.

MSC:

53Z05 Applications of differential geometry to physics
58Z05 Applications of global analysis to the sciences
81R25 Spinor and twistor methods applied to problems in quantum theory
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References:

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