  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.
