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

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NASA EM Drive Via E-Infinity Cantorian-Fractal Space-Time Theory Open Access Journal of Physics Volume 2, Issue 2, 2018, PP 1-4 NASA EM Drive via E-Infinity Cantorian-Fractal Space-Time Theory Leila Marek-Crnjac Technical School Center, Maribor, Slovenia *Corresponding Author:Leila Marek-Crnjac, Technical School Center, Maribor, Slovenia ABSTRACT We give a condensed account for NASA’s revolutionary spacecraft proposal and its theoretical justification by E-infinity theory. It is argued that the energy density gradient between cosmic ordinary energy density of the quantum particle of the universe and the cosmic dark energy density of the Hartle-Hawking wave function can produce sufficient thrust to make the EM drive proposal possible and feasible. This conclusion was recently reinforced by the Egyptian engineering scientist and theoretical physicist, M.S. El Naschie, who invoked a celebrated measure theoretical theorem due to the outstanding Israeli mathematician I. Dvoretzky. The hot topic of EM drive invited a great deal of claims and counter claims [1-6] connected mainly to the conservation of momentum [3]. The present short Letter demonstrates that EM is consistent with the accepted principles of modern quantum cosmology and does not violate Newton’s third law of classical mechanics. Keywords:EM drive, Interstellar flight, Vacuum energy, Dark energy, Cantorian space-time, Hartle- Hawking wave function of the cosmos, Cantorian plasma, Quantum cosmology, Casimir-dark energy nano- reactor. INTRODUCTION all that to the entire universe we see that a point inside the universe could be thought of as 4.5% In the present short Letter we follow El Naschie quantum particle energy density location while in advancing the thesis that EM drive is in any point at the hyperbolic horizon and the principle not only possible but more than that. holographic boundary of the universe may be To show that nothing is simpler than appealing regarded as the 95.5% quantum wave energy to the Hartle-Hawking universe wave function density [4,7,11]. The same idea is expressed in theory as used in a few recent publications by El a different language when one invokes Naschie concerned with ordinary cosmic energy Dvoretzky‟s theorem as done by El Naschie and density and dark cosmic energy density [4-29]. reason that 95.5% of the volume of the higher The first, in the meantime well known, is the dimensional (i.e. a five dimensional Kaluza- energy density of the quantum particle which Klein space-time) universe of our real existence amounts to 4.5% of the total while the rest of lies at a thin layer of the surface [12,13]. 95.5% is related to the quantum wave side of the Consequently one expects that any spacecraft universe [10,11]. This gradient is sufficient to will be pulled from any point of the interior of support a fuelless EM drive enabling interstellar the universe towards the hyperbolic boundary of navigation from anywhere to infinity. In fact we the universe so that a skilful navigation need an engine for navigation only, the thrust technique could get it from anywhere to any comes naturally from the local form of one destination and practically without fuel except sided Casimir effect of space-time as discussed for navigation. This conclusion is reinforced sometime ago by El Naschie [11-13]. There is a completely by Dvoretzky‟s theorem [12,13]. simple picture associated with the energy That is essentially all that we need for the density gradient from 4.5% to 95.5% which we theoretical justification of EM drive. We stress will attempt to explain in what follows in once more that El Naschie‟s theory goes as far general terms while detailed mathematical as saying that the thrust is inbuilt into the equations are given in the Appendix [4,11,13]. geometry and topology of the five dimensional This picture is based on the quantum E-infinity vacuum of a fractal space-time so that the fact that the quantum wave surrounds and motion of the spacecraft is in principle possible guides the quantum particle [7-29]. Applying with or without an engine. In his formal and Open Access Journal of Physics V2● 11 ● 20181 NASA EM Drive via E-Infinity Cantorian-Fractal Space-Time Theory informal talks he stresses that solving the main [4] M.S. El Naschie: The Cantorian monadic theoretical problem is probably 1% of the plasma behind the zero point vacuum spactime difficulties. The rest of the 99% is engineering. energy. American Journal of Nano Research & We note on passing and in very general terms Application. 3, 2015, pp. 66-70. that dark energy, Hawking vacuum fluctuation, [5] M.S. El Naschie and Ji-Huan He: Tesla‟s dream Casimir force and the like differ only with from a modern quantum space-time view point. Nonlinear Science Letters A, 9(1), 2018, pp. regard to boundary conditions [8]. In other 36-43. words, the present theory for interstellar flight is [6] M.S. El Naschie: Applications of chaos and a relative of El Naschie‟s theory for a Casimir- fractals in fundamental physics and set dark energy nano energy reactor [14,15]. For theoretical resolutions of the two-slit details of the exact calculation of dark matter experiment and the wave collapse. Nonlinear energy and pure dark energy, the reader may Science B, 1(1), 2011, pp. 1-3. consider Fig. 1 of Ref. 5 as well as the [7] M.S. El Naschie: Determining the missing dark references contained therein. Finally by energy density of the cosmos from a light cone invoking the self-similarity of Cantorian-fractal exact relativistic analysis. Journal of Physics, space-time one can apply the same reasoning to 2(2), 2013, pp. 19-25. the EM drive devise itself so that the spacecraft [8] M. S. El Naschie: Hubble scale dark energy is really subjected to global and local thrust. meets nano-scale Casimir energy and the rational of their T-duality and mirror symmetry CONCLUSION equivalence. World Journal of Nano Science and Engineering, 5, 2015, pp. 57-67. The quantum topology of the universe makes it inevitable that it must be made up of two parts [9] M.S. El Naschie: An exact mathematical picture of quantum space-time. Advances in (a) a low density interior with 4.5% energy Pure Mathematics, 2015, 5, pp. 560-570. density and (b) a high energy density surface with 95.5% of the total energy. El Naschie [10] M. S. El Naschie, AtefHelal:Dark Energy Explained via the Hawking-Hartle Quantum stressed that this gradient is what makes fuelless Wave and the Topology of Cosmic interstellar journeys possible so that we can state Crystallography. International Journal of without any doubt that in principle EM drive is Astronomy and Astrophysics,3(3), 2013, pp. science and not science fiction. On the other 318-343. hand any ordinary EM engine can be used [11] M. S. El Naschie: If quantum “wave” of the because it is needed for navigation only. universe then quantum “particle” of the However to enhance the local cosmic thrust El universe: A resolution of the dark energy Naschie proposed that it may be possible to question and the black hole information design an EM drive which does exactly that but paradox. International Journal of Astronomy & this is another major engineering problem which Astrophysics, 5, 2015, pp. 243-247. is not the main concern of the present paper. It [12] M. S. El Naschie: Application of Dvoretzky‟s seems to us however that we have just seen the theorem of measure concentration in physics and cosmology. Open Journal of Microphysics, tip of the quantum vacuum iceberg and that the 5, 2015, pp. 11-15. future will hold many more astonishing [13] M.S. El Naschie: Banach space-time-like applications of the Aether. The details of the Dvoretzky volume concentration as cosmic present calculations are given in the Appendix. holographic dark energy. International Journal of High Energy Physics, 2(1), 2015, pp. 13-21. REFERENCES [14] M.S. El Naschie: A Casimir dark energy nano- [1] F. MacDonald: It‟s official: NASA‟s peer- reactor design – Phase one. Natural Science, 7, reviewed EM drive paper has finally been 2015, pp. 287-298. published. Alert: [15] M.S. El Naschie: A cold fusion-Casimir energy https://www.sciencealert.com/it-s-official-nasa- nano-reactor proposal. World Journal of Nano s-peer-reviewed-em-drive-paper-has-finally- Science and Engineering, 5, 2015, pp. 49-56. been-published. November, 2016. [16] L. Marek-Crnjac: Quantum entanglement and [2] H.E. Puthoff and S.R. Little: Engineering the quantum disentanglement in connection to the zero-point field and polarizable vacuum for ordinary and dark energy of cosmos. In interstellar flight. Cornell University Library. “Horizons in World Physics”, Edited by Albert https://arxiv.org/pdf/1012.5264.pdf. 2010. Reimer. Nova Science Publishers, New York, [3] C.W. Wu: Comments on theoretical foundation USA. Chapter 3, 2018, pp. 91-105. of “EM Drive”. ActaAstronomica, 2008, pp. 1- [17] M.S. El Naschie: Kähler dark matter, dark 3. energy, cosmic density and their coupling. 2 Open Access Journal of Physics V2● 12 ● 2018 NASA EM Drive via E-Infinity Cantorian-Fractal Space-Time Theory Journal of Modern Physics, 7(14), 2017, pp. interstellar probe. Acta Astrinautica (Elsevier), 1953-1962. 116, 2015, pp. 166-174. [18] M. S. El Naschie: A combined Heterotic string [31] M.S. El Naschie: Private communication re: and Kähler manifold elucidation of ordinary EM drive, 2018. energy, dark matter, Olbers‟s paradox and pure dark energy density of the cosmos. Journal of APPENDIX Modern Physics, 8(7), 2017, pp. 1101-1118.
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