Interesting attentions have been extensively given in studying the intense interaction of an electron with magnetic field; the outcomes here mentioned are purely theoretical which shows the possibility of the existence of an unusual type of field which permeates the very tiny part in electron-magnetic field interaction. The physical interpretation here tried to deduce clearly defines the possible mathematical indication and formulation in understanding the possibility of its existence in nature. However the theoretical properties of this kind of field are still incomplete and it requires practical explanation in understanding them. The further properties and consequences of this field and its interactions to matter particles are presently not known.