NASA EM Drive via E-Infinity Cantorian-Fractal Space-Time Theory

Abstract

In the present short Letter we follow El Naschie in advancing the thesis that EM drive is in principle not only possible but more than that. To show that nothing is simpler than appealing to the Hartle-Hawking universe wave function theory as used in a few recent publications by El Naschie concerned with ordinary cosmic energy density and dark cosmic energy density [4-29]. The first, in the meantime well known, is the energy density of the quantum particle which amounts to 4.5% of the total while the rest of 95.5% is related to the quantum wave side of the universe [10,11]. This gradient is sufficient to support a fuelless EM drive enabling interstellar navigation from anywhere to infinity. In fact we need an engine for navigation only, the thrust comes naturally from the local form of one sided Casimir effect of space-time as discussed sometime ago by El Naschie [11-13]. There is a simple picture associated with the energy density gradient from 4.5% to 95.5% which we will attempt to explain in what follows in general terms while detailed mathematical equations are given in the Appendix [4,11,13]. This picture is based on the quantum E-infinity fact that the quantum wave surrounds and guides the quantum particle [7-29]. Applying all that to the entire universe we see that a point inside the universe could be thought of as 4.5% quantum particle energy density location while any point at the hyperbolic horizon and the holographic boundary of the universe may be regarded as the 95.5% quantum wave energy density [4,7,11]. The same idea is expressed in a different language when one invokes Dvoretzky‟s theorem as done by El Naschie and reason that 95.5% of the volume of the higher dimensional (i.e. a five dimensional KaluzaKlein space-time) universe of our real existence lies at a thin layer of the surface [12,13]. Consequently one expects that any spacecraft will be pulled from any point of the interior of the universe towards the hyperbolic boundary of the universe so that a skilful navigation technique could get it from anywhere to any destination and practically without fuel except for navigation. This conclusion is reinforced completely by Dvoretzky‟s theorem [12,13]. That is essentially all that we need for the theoretical justification of EM drive. We stress once more that El Naschie‟s theory goes as far as saying that the thrust is inbuilt into the geometry and topology of the five dimensional vacuum of a fractal space-time so that the motion of the spacecraft is in principle possible with or without an engine. In his formal and ABSTRACT