FRACTIONAL DIRAC OPERATORS AND LEFT-RIGHT FRACTIONAL CHAMSEDDINE–CONNES SPECTRAL BOSONIC ACTION PRINCIPLE IN NONCOMMUTATIVE GEOMETRY

摘要: The generalization of the Chamseddine–Connes spectral triples action to its (left and right) fractional counterpart is constructed within context Riemann–Liouville Erdelyi–Kober operators. In approach, Dirac operators approximated by triple replaced equivalent , 0 < α 1. When (left) applied noncommutative space defined spectrum Standard Model, one obtains many attractive characteristics including time-dependent gauge couplings constants (), a cosmological constant (Λcos), scalar Ricci curvature (R), Newton's coupling constant, Higgs square mass . Furthermore, Λcos, R, were found be nonsingulars at Planck's time. bosonic taken into account, all previous functions are complexified, gravity. Many additional interesting features discussed explored in some details.