Overcoming the Negative Energy Density Requirements in the Alcubierre Warp Field Equations with a Complex Shaping Function

In this paper we show that the use of a resonant cavity filled with a lossy dielectric can overcome the negative energy density requirement in Alcubierre’s warp field equations. By using an imaginary part equal to or greater than the real part in the shaping function we generate a positive, non-exotic energy density requirement to generate and sustain the warp bubble necessary to transport a craft through space. We show simulation results for various shaping functions, the resulting Yorke time deformation, and the energy density over the warp bubble required. We discuss potential realizations of a device which generates such a field using electromagnetic and rf theory. Finally, we propose and show results of a simple experiment that uses these principles.