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El Naschie, M.S. (2015) Three Quantum Particles Hardy Entanglement from the Topology of Cantorian-Fractal Spacetime and the Casimir Effect as Dark Energy—A Great Opportunity for Nanotechnology. American Journal of Nano Research and Applications, 3, 1-5.
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El Naschie, M.S. (2014) Casimir-Like Energy as a Double Eigenvalue of Quantumly Entangled System Leading to the Missing Dark Energy Density of the Cosmos. International Journal of High Energy Physics, 1, 55-63.
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[3]
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El Naschie, M.S. (2014) The Measure Concentration of Convex Geometry in a Quasi Banach Spacetime behind the Supposedly Missing Dark Energy of the Cosmos. American Journal of Astronomy & Astrophysics, 2, 72-77.
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Slezak, M. (2015) Quantum Wave Function Gets Real. New Scientist, 225, 14.
http://dx.doi.org/10.1016/S0262-4079(15)60242-1
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El Naschie, M.S. (2015) Dark Energy and Its Cosmic Density from Einstein’s Relativity and Gauge Fields Renormalization Leading to the Possibility of a New ‘tHooft Quasi Particle. The Open Astronomy Journal, 8, 1-17.
http://dx.doi.org/10.2174/1874381101508010001
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El Naschie, M.S. (2015) Banach Spacetime-Like Dvoretzky Volume Concentration as Cosmic Holographic Dark Energy. International Journal of High Energy Physics, 2, 13-21.
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[7]
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El Naschie, M.S. (2014) From E = mc2 to E = mc2/22—A Short Account of the Most Famous Equation in Physics and Its Hidden Quantum Entanglement Origin. Journal of Quantum Information Science, 4, 284-291.
http://dx.doi.org/10.4236/jqis.2014.44023
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El Naschie, M.S. (2014) The Hidden Quantum Entanglement Roots of E = mc2 and Its Genesis to E = mc2/22 Plus mc2(21/22) Confirming Einstein’s Mass-Energy Formula. American Journal of Electromagnetics and Applications, 2, 39-44. http://dx.doi.org/10.11648/j.ajea.20140205.11
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El Naschie, M.S. (1999) From Implosion to Fractal Spheres. A Brief Account of the Historical Development of Scientific Ideas Leading to the Trinity Test and Beyond. Chaos, Solitons & Fractals, 10, 1955-1965.
http://dx.doi.org/10.1016/S0960-0779(99)00030-2
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El Naschie, M.S. and Al Athel, S. (2000) Estimating the Eigenvalue of Fast Reactors and Cantorian Space. Chaos, Solitons & Fractals, 11, 1957-1961. http://dx.doi.org/10.1016/S0960-0779(99)00069-7
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El Naschie, M.S. (2000) On Nishina’s Estimate of the Critical Mass for Fussion and Early Nuclear Research in Japan. Chaos, Solitons & Fractals, 11, 1809-1818. http://dx.doi.org/10.1016/S0960-0779(99)00172-1
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El Naschie, M.S. (2000) Remarks on Heisenberg’s Farm-Hall Lecture on the Critical Mass of Fast Neutron Fission. Chaos, Solitons & Fractals, 11, 1327-1333. http://dx.doi.org/10.1016/S0960-0779(99)00136-8
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El Naschie, M.S. and Hussein, A. (2000) On the Eigenvalue of Nuclear Reaction and Self-Weight Buckling. Chaos, Solitons & Fractals, 11, 815-818. http://dx.doi.org/10.1016/S0960-0779(99)00106-X
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El Naschie, M.S. (2000) Elastic Buckling Loads and Fission Critical Mass as an Eigenvalue of a Symmetry Breaking Bifurcation. Chaos, Solitons & Fractals, 11, 631-639. http://dx.doi.org/10.1016/S0960-0779(99)00063-6
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El Naschie, M.S. (2000) On the Zel’dovich-Khuriton Critical Mass for Fast Fission. Chaos, Solitons & Fractals, 11, 819-824. http://dx.doi.org/10.1016/S0960-0779(99)00113-7
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El Naschie, M.S. (2000) On the Eigenvalue of Transport Reaction Involving Fast Neutrons. Chaos, Solitons & Fractals, 11, 929-934. http://dx.doi.org/10.1016/S0960-0779(99)00066-1
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El Naschie, M.S. (2000) Heisenberg’s Critical Mass Calculations for an Explosive Nuclear Reaction. Chaos, Solitons & Fractals, 11, 987-997. http://dx.doi.org/10.1016/S0960-0779(99)00110-1
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El Naschie, M.S. (1998) Chaos and Fractals in Nano and Quantum Technology. Chaos, Solitons & Fractals, 9, 1793- 1802.
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El Naschie, M.S. (2006) Nanotechnology for the Developing World. Chaos, Solitons & Fractals, 30, 769-773.
http://dx.doi.org/10.1016/j.chaos.2006.04.037
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El Naschie, M.S. (2007) The Political Economy of Nanotechnology and the Developing World. International Journal of Electrospun Nanofibrers and Applications, 1, 41-50.
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El Naschie, M.S. (1998) Some Tentative Proposals for the Experimental Verification of Cantorian Micro Spacetime. Chaos, Solitons & Fractals, 9, 143-144. http://dx.doi.org/10.1016/S0960-0779(97)00175-6
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Johnston, H. (2012) Physicists Solve Casimir Conundrum. Physicsworld.com. 18 July 2012.
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Rencroft, S. and Swain, J. (1998) What Is the Casimir Effect? Scientific American, 22 June 1998.
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Wongjun, P. (2015) Casimir Dark Energy, Stabilization of the Extra Dimensions and Gauss-Bonnet Term. The European Physical Journal C, 75, 6. http://dx.doi.org/10.1140/epjc/s10052-014-3237-0
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El Naschie, M.S. (2007) A Review of Applications and Results of E-Infinity Theory. International Journal of Nonlinear Sciences and Numerical Simulation, 8, 11-20. http://dx.doi.org/10.1515/IJNSNS.2007.8.1.11
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Smolin, L. (2001) The Strong and the Weak Holographic Principles. Nuclear Physics B, 601, 209-247.
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El Naschie, M.S. (2006) Holographic Dimensional Reduction: Center Manifold Theorem and E-Infinity. Chaos, Solitons & Fractals, 29, 816-822. http://dx.doi.org/10.1016/j.chaos.2006.01.013
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Misner, C., Thorne, K. and Wheeler, J.A. (1973) Gravitation. Freeman, New York.
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El Naschie, M.S. (2003) Kleinian Groups in E-Infinity and Their Connection to Particle Physics and Cosmology. Chaos, Solitons & Fractals, 16, 637-649. http://dx.doi.org/10.1016/S0960-0779(02)00489-7
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El Naschie, M.S. (2005) A Guide to the Mathematics of E-Infinity Cantorian Spacetime Theory. Chaos, Solitons & Fractals, 25, 955-964.
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El Naschie, M.S. (2004) The Concepts of E-Infinity: An Elementary Introduction to the Cantorian-Fractal Theory of Quantum Physics. Chaos, Solitons & Fractals, 22, 495-511. http://dx.doi.org/10.1016/j.chaos.2004.02.028
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El Naschie, M.S. (2003) Complex Vacuum Fluctuation as a Chaotic “Limit” Set of Any Kleinian Group Transformation and the Mass Spectrum of High Energy Particle Physics via Spontaneous Self Organization. Chaos, Solitons & Fractals, 17, 631-638. http://dx.doi.org/10.1016/S0960-0779(02)00630-6
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El Naschie, M.S. (2003) Modular Groups in Cantorian E-Infinity High Energy Physics. Chaos, Solitons & Fractals, 16, 353-366. http://dx.doi.org/10.1016/S0960-0779(02)00440-X
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El Naschie, M.S. (1994) On Certain “Empty” Cantor Sets and Their Dimensions. Chaos, Solitons & Fractals, 4, 293- 296. http://dx.doi.org/10.1016/0960-0779(94)90152-X
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He, J.H., Xu, L., Zhang, L.N. and Wu, X.H. (2007) Twenty-Six Dimensional Polytope and High Energy Spacetime Physics. Chaos, Solitons & Fractals, 33, 5-13. http://dx.doi.org/10.1016/j.chaos.2006.10.048
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El Naschie, M.S. (1994) Is Quantum Space a Random Cantor Set with a Golden Mean Dimension at the Core? Chaos, Solitons & Fractals, 4, 177-179. http://dx.doi.org/10.1016/0960-0779(94)90141-4
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El Naschie, M.S. (2008) Mathematical Foundation of E-Infinity via Coxeter and Reflection Groups. Chaos, Solitons & Fractals, 37, 1267-1268. http://dx.doi.org/10.1016/j.chaos.2008.02.001
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El Naschie, M.S. (1995) Banach-Tarski Theorem and Cantorian Micro Spacetime. Chaos, Solitons & Fractals, 5, 1503-1508. http://dx.doi.org/10.1016/0960-0779(95)00052-6
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El Naschie, M.S. (1995) On the Initial Singularity and the Banach-Tarski Theorem. Chaos, Solitons & Fractals, 5, 1391-1392. http://dx.doi.org/10.1016/0960-0779(95)99645-2
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El Naschie, M.S. (1998) Cobe Satellite Measurement, Hyperspheres, Superstrings and the Dimension of Spacetime. Chaos, Solitons & Fractals, 9, 1445-1471. http://dx.doi.org/10.1016/S0960-0779(98)00120-9
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El Naschie, M.S. (2001) Infinite Dimensional Branes and the E-Infinity Topology of Heterotic Superstrings. Chaos, Solitons & Fractals, 12, 1047-1055. http://dx.doi.org/10.1016/S0960-0779(00)00130-2
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El Naschie, M.S. (2007) Ji-Huan He’s Ten Dimensional Polytope and High Energy Particle Physics. International Journal of Nonlinear Sciences & Numerical Simulation, 8, 475-476. http://dx.doi.org/10.1515/IJNSNS.2007.8.4.475
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El Naschie, M.S. (1999) Hyperdimensional Geometry and the Nature of Physical Spacetime. Chaos, Solitons & Fractals, 10, 155-158. http://dx.doi.org/10.1016/S0960-0779(98)00235-5
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Finkelstein, D. (1982) Quantum Sets and Clifford Algebras. International Journal of Theoretical Physics, 21, 489-503.
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El Naschie, M.S. (2002) Derivation of the Threshold and Absolute Temperature Tc = 273.16 K from the Topology of Quantum Spacetime. Chaos, Solitons & Fractals, 14, 1117-1120. http://dx.doi.org/10.1016/S0960-0779(02)00053-X
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El Naschie, M.S. (2008) Quarks Confinement via Kaluza-Klein Theory as a Topological Property of Quantum Classical Spacetime Phase Transition. Chaos, Solitons & Fractals, 35, 825-829.
http://dx.doi.org/10.1016/j.chaos.2007.08.057
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El Naschie, M.S. (2002) On a Class of General Theories for High Energy Particle Physics. Chaos, Solitons & Fractals, 14, 649-668. http://dx.doi.org/10.1016/S0960-0779(02)00033-4
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He, J.H. (2009) Hilbert Cube Model for Fractal Spacetime. Chaos, Solitons & Fractals, 42, 2754-2759.
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Helal, M., Marek-Crnjac, L. and He, J.H. (2013) The Three Page Guide to the Most Important Results of M. S. El Naschie’s Research in E-Infinity Quantum Physics and Cosmology. Open Journal of Microphysics, 3, 141-145.
http://dx.doi.org/10.4236/ojm.2013.34020
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El Naschie, M.S. (2004) A Review of E-Infinity Theory and the Mass Spectrum of High Energy Particle Physics. Chaos, Solitons & Fractals, 19, 209-236. http://dx.doi.org/10.1016/S0960-0779(03)00278-9
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El Naschie, M.S. (2009) The Theory of Cantorian Spacetime and High Energy Particle Physics (An Informal Review). Chaos, Solitons & Fractals, 41, 2635-2646. http://dx.doi.org/10.1016/j.chaos.2008.09.059
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Marek-Crnjac, L. and He, J.H. (2013) An Invitation to El Naschie’s Theory of Cantorian Space-Time and Dark Energy. International Journal of Astronomy and Astrophysics, 3, 464-471. http://dx.doi.org/10.4236/ijaa.2013.34053
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El Naschie, M.S. (2013) A Resolution of Cosmic Dark Energy via a Quantum Entanglement Relativity Theory. Journal of Quantum Information Science, 3, 23-26. http://dx.doi.org/10.4236/jqis.2013.31006
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El Naschie, M.S. (2013) What Is the Missing Dark Energy in a Nutshell and the Hawking-Hartle Quantum Wave Collapse. International Journal of Astronomy & Astrophysics, 3, 205-211. http://dx.doi.org/10.4236/ijaa.2013.33024
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El Naschie, M.S. (2013) Topological-Geometrical and Physical Interpretation of the Dark Energy of the Cosmos as a “Halo” Energy of the Schrodinger Quantum Wave. Journal of Modern Physics, 4, 591-596.
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Stiglitz, J. and Bilmes, L. (2008) The Three Trillion Dollar War: The True Cost of The Iraq Conflict. Allen-Lane, Penguin Books, London.
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El Naschie, M.S. (2013) A Unified Newtonian-Relativistic Quantum Resolution of Supposedly Missing Dark Energy of the Cosmos and the Constancy of the Speed of Light. International Journal of Modern Nonlinear Theory & Application, 2, 43-54. http://dx.doi.org/10.4236/ijmnta.2013.21005
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Malek, C. (2015) Abu Dhabi Crown Prince Details UAE Leaders’ Vision of Future without Oil. The National Newspaper, UAE, 10th February 2015.
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Auffray, J.P. (2015) E-Infinity, Zero Set, Absolute Space and the Photon Spin. Journal of Modern Physics, 6, 536-545.
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El Naschie, M.S. (2011) On Twistors in Cantorian E-Infinity Space. Chaos, Solitons & Fractals, 12, 741-746.
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El Naschie, M.S. (2015) On a Casimir-Dark Energy Nano Reactor. American Journal of Nano Research and Application, 3, 12-16.
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Ho, M.W., El Naschie, M. and Vitiello, G. (2015) Is Spacetime Fractal and Quantum Coherent in the Golden Mean. Global Journal of Science Frontier Research—A: Physics and Space Science, 15, 61-80.
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El Naschie, M.S. (2015) From Kantian-Reinen Vernunft to the Real Dark Energy Density of the Cosmos via the Measure Concentration of Convex Geometry in Quasi Banach Spacetime. Open Journal of Philosophy, 5, 123-130.
http://dx.doi.org/10.4236/ojpp.2015.51014
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El Naschie, M.S. (2015) Dark Energy and Its Cosmic Density from Einstein’s Relativity and Gauge Field Renormalization Leading to the Possibility of a New ‘tHooft Quasi Particle. The Open Astronomy Journal, 8, 1-17.
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Stauffer, D. and Stanley, H.E. (1996) From Newton to Mandelbrot. 2nd Edition, Springer, Berlin.
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El Naschie, M.S. (1998) Branching Polymers and the Fractal Cantorian Spacetime. Chaos, Solitons & Fractals, 9, 135-141. http://dx.doi.org/10.1016/S0960-0779(97)00133-1
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El Naschie, M.S. (1997) The Bethe Lattice and the Dimension of Micro Spacetime. Chaos, Solitons & Fractals, 8, 1887-1889. http://dx.doi.org/10.1016/S0960-0779(97)00130-6
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El Naschie, M.S. (2015) Computing Dark Energy and Ordinary Energy of the Cosmos as a Double Eigenvalue Problem. Journal of Modern Physics, 6, 348-395. http://dx.doi.org/10.4236/jmp.2015.64042
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El Naschie, M.S. (2015) A Fractal Rindler-Regge Triangulation in the Hyperbolic Plane and Cosmic de Sitter Accelerated Expansion. Journal of Quantum Information Science, 5, 24-31. http://dx.doi.org/10.4236/jqis.2015.51004
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El Naschie, M.S. (2015) The Casimir Topological Effect and a Proposal for a Casimir-Dark Energy Nano Reactor. World Journal of Nano Science and Engineering, 5, 26-33. http://dx.doi.org/10.4236/wjnse.2015.51004
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El Naschie, M.S. (2014) From Highly Structured E-Infinity Rings and Transfinite Maximally Symmetric Manifolds to the Dark Energy Density of the Cosmos. Advances in Pure Mathematics, 4, 641-648.
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