Complex-quaternionic analysis applied to spin-½ massless fields
In the paper the complex-quaternionic analysis and its spinor version is used for the study of integral formulas for spin ½ massless fields. The basic corrspondence between the complexified Fueter equation and the massless field equation (spin½) is described first, together with the corresponding Cauchy integral formulas. It is shown then how the complexified Cauchy integral formula can be used to give the connection between elliptic type (boundary value type) integral formulas on Euclidean spacetime and Kirchhoff type (initial value type) integral formulas on Minkowski space (for spin ½ massless fields). The explicit formulas showing such connection with the integral formula described by Penrose are given.
ABSTRACTThis paper aims to develop, assess, and numerically implement analytical models for the newly introduced Quintuple Friction Pendulum Isolator (QFPI) which can identically capture its real e...