FRACTAL GENESIS OF THE ANGLES OF THE NEUTRINO MIXING MATRIX.

Overview & Synopsis

A fractal genesis of the angles of the neutrino mixing matrix hypothesis is being examined. (Pontecorvo – Maki–Nakagawa–Sakata matrix - PMNS matrix). It is assumed that framework for this genesis are gold algebraic fractals mantissas: of the Planck mass, of the Planck time and of the fine-structure constant, namely, sines of angles are gold algebraic fractals: of the fine-structure constant, of the Planck mass and of the Planck time respectively. A gold algebraic fractal mantissa of any real number can be represented as additive gold algebraic fractal – an infinite sum of the power series (more exactly – geometrical) with the basis of the gold ratio large number. Assessed the Higgs boson mass based on additive gold algebraic fractal. The value of the angle of the Carioles force is specified in the model of the rotating observable Universe. A new assessment of the contribution of dark matter to the overall energy balance of the observed Universe is given. The universality of Planck's constants and the fine structure constant for all structural and spatial levels of matter has been confirmed.