Abstract: As is known, the heat transportation follows the classical Fourier's law, and the temperature distribution is governed by a parabollic equation. This fact leads to a paradox, the heat pulse propagates at an infinite speed. In the normal condition, this "paradox" may be explained away by the rapid decay of heat waves. However, under certain conditions when the relevant time scale is extremely small such as in the cases of thermo-explosion, nuclear fusion, very fast chemical reaction and the interaction of hi...