Abstract

Assuming that the Fitzgerald-Lorentz length-contraction as well as the Lorentz slowing-down of all electromagnetically-determined clocks are real phenomena, one draws the conclusion that the relativist Fitzgerald-Lorentz invariance is proper, exclusively, to electromagnetic systems. It is a theorem that may not be extended ? with an ?a priori? absolute certainty ? to systems containing inertial and/or gravitational active elements. That limitation is a draw-back of the fact that neither inertia nor gravitation was, till now, experimentally checked on a possible Fitzgerald-Lorentz invariance. At this aim two sorts of experiences ? one determined by gravity and inertia, the second by inertia alone ? are suggested and theoretically investigated by computational modeling. Approximate quantitative results are worked out via finite difference approximation run in an Excel programs.