Prediction of a hitherto unknown superconductivity-like effect is made which is independent of temperature, but rather requires Galilean reference systems moving at the speed of light in vacuum. As the medium (I) to which the laboratory frame is attached, a Lorentz medium is selected whereas for medium (II) to which the rest frame is attached, a perfectly conducting medium is selected. The interface is an infinite plane perpendicular to the uniform rectilinear motion involved. The fact that the Lorentz medium appears as a metal when observed from the rest frame, is unearthed in a previously reported work by the same author. Next the limit condition which in effect requires attainment of speed of light in vacuum by the uniform rectilinear motions of the Galilean reference systems is considered, and the effective permittivity function of medium (I) observed from the rest frame is found to have a character similar to that of a superconductor. It should be stressed that the fundamental premise of the work is Lorentzian relativistic transformation and not Galilean relativistic transformation under which the permittivity function could have been invariant. This work is presented in a series of two papers. In Part (I) the models for medium (I) observed from the laboratory frame and the rest frame are presented. In Part (II) the prediction of the new superconductivity-like effect is made and equations with the same structure as London equations in a superconductor are presented. Also included in this Part is a discussion proving that the dispersion relation for medium (I) observed from the rest frame can be split as a permittivity function and a permeability that is equal to that observed from the laboratory frame, which is but the permeability of free space.