Special relativity description of the heat propagation in Minkowski spacetime

Abstract

In this paper we investigate the heat transport induced by continuous laser beams up to an intensity of about 1029 Watt/cm2. We maintain that up to this intensity nonlinear effects are negligible and that the application of the linear hyperbolic heat transport equation is fully justifiable. We show that the Fourier diffusion equation gives the speed of diffusion, v > c and breaks the causality of the thermal processes in Minkowski space-time. For hyperbolic heat transport v<c and causality is valid Key words: high energy continuous laser beams, causality, Minkowski space-time.