Abstract: | Enlarging the dimensionality of Minkowski space from 4 to 5,and relating the restmass of particle with x5 as m=—i(8706;/(8706;x5)))we discuss the 5-dimensional non-linear con-formal group C(M5)under which dx12+dx22+dx32-dx02+dx52=0 is invariant.The C(M5)group is isomorphic to the linear group SO(5,2)from which we study thespace-time property of Fermion number,and the relations between half-integral(in-tegral)spin and odd(even)Fermion number are obtained. |