Space-time from the Gaussian function's point of view

Aleksandr Rybnikov

Abstract

Theory of the fine-structure constant α was extracted from Gaussian function and its discrete derivation by method of the function's concentration. Exact approximations of both concentrates show periodicity of space-time and the value of pedestal in the space approximation is equal to the ratio of charges of Dirac’s magnetic monopole and electron. Thus, Dirac’s monopole is an element of the discrete space and can't be directly discovered as an isolated physical object. Space approximation is the set of the three spherical harmonics multiplied by the factors that are equal α raised to the second power of number's spherical harmonics. Space approximation gives information about the inner structure of Dirac’s monopole and also about neutrino that is more likely Majorana fermion. Time approximation has only one term with factor α and explains cause of half-integer spin of Dirac’s fermion by uniqueness of the three dimensional discrete time.

Keywords: theory of fine-structure constant, Dirac’s monopole, Gaussian function.

Aleksandr Rybnikov

Abstract

Theory of the fine-structure constant α was extracted from Gaussian function and its discrete derivation by method of the function's concentration. Exact approximations of both concentrates show periodicity of space-time and the value of pedestal in the space approximation is equal to the ratio of charges of Dirac’s magnetic monopole and electron. Thus, Dirac’s monopole is an element of the discrete space and can't be directly discovered as an isolated physical object. Space approximation is the set of the three spherical harmonics multiplied by the factors that are equal α raised to the second power of number's spherical harmonics. Space approximation gives information about the inner structure of Dirac’s monopole and also about neutrino that is more likely Majorana fermion. Time approximation has only one term with factor α and explains cause of half-integer spin of Dirac’s fermion by uniqueness of the three dimensional discrete time.

Keywords: theory of fine-structure constant, Dirac’s monopole, Gaussian function.