[1] |
Weibel, P., Ord, G. and Rossler, O., Eds. (2005) Spacetime Physics and Fractality. Festschrift in Honour of Mohamed El Naschie on the Occasion of His 60th Birthday. Springer, Vienna-New York. |
|
[2] |
Yang, C.N. (1987) Square Root of Minus One, Complex Phases and Erwin Schrodinger. In: Kilmister, C.W., Ed., Schrodinger—Centenary Celebration of a Polymath, Cambridge University Press, Cambridge, UK, 53-64. |
|
[3] |
Donaldson, S.K. and Kronheimer, P.B. (1990) The Geometry of Four Manifolds. Oxford University Press, Oxford. |
|
[4] |
Kodiyalam, V. and Sunder, V.S. (2001) Topological Quantum Field Theories from Subfactors. Chapma & Hall/Crc, London, UK. |
|
[5] |
‘tHooft, G. (2005) 50 Years of Yang-Mills Theory. World Scientific, Singapore. http://dx.doi.org/10.1142/5601 |
|
[6] |
El Naschie, M.S., Rossler, O.E. and Prigogine, I. (1995) Quantum Mechanics, Diffusion and Chaotic Fractals. Pergamon Press/Elsevier, Oxford. |
|
[7] |
He, J.-H. (2005) Transfinite Physics. China Scientific and Culture Publishing, Shanghai. |
|
[8] |
Sidharth, B.G. and Altaisky, M.V. (2001) Frontiers of Fundamental Physics. Kluwer Academic/Plenum Publishers, New York (see in particular 81-95). |
|
[9] |
Friedlander, E. and Grayson, D. (2005) Handbook of K-Theory. Springer, Berlin.
http://dx.doi.org/10.1007/978-3-540-27855-9 |
|
[10] |
Cartier, P., Julia, B., Moussa, P. and Vanhove, P. (2006) Frontiers in Number Theory, Physics and Geometry I. Springer, Berlin. |
|
[11] |
El Naschie, M.S. (2004) A Review of E-Infinity 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 |
|
[12] |
E-Infinity Group: E-Infinity High Energy Communication Nos. 1 to 90. E-Infinity Energyblogspot.com. |
|
[13] |
Baker, A. (2013) Close Encounters of the E-Infinity Kind. Journal of Homotopy and Related Structures, 9, 257-282. |
|
[14] |
El Naschie, M.S. (1995) Banach-Tarski Theorem and Cantorian Spacetime. Chaos, Solitons & Fractals, 5, 1503-1508.
http://dx.doi.org/10.1016/0960-0779(95)00052-6 |
|
[15] |
El Naschie, M.S. (2011) Quantum Entanglement as a Consequence of a Cantorian Micro Spacetime Geometry. Journal of Quantum Information Science, 1, 50-53.
http://dx.doi.org/10.4236/jqis.2011.12007 |
|
[16] |
Yau, S.-T. (2010) The Shape of Inner Space. Basic Book—Perseus Book Group, New York. |
|
[17] |
El Naschie, M.S. (1997) Advanced Prerequisites for E-Infinity Theory. Chaos, Solitons & Fractals, 30, 636-641. |
|
[18] |
Argyris, J. and Ciubotariu, C. (1997) On El Naschie’s Complex Time and Gravitation. Chaos, Solitons & Fractals, 8, 743-751. http://dx.doi.org/10.1016/S0960-0779(97)00072-6 |
|
[19] |
Sigalotti, L. and Mejias, A. (2006) The Golden Ratio in Special Relativity. Chaos, Solitons & Fractals, 30, 521-524.
http://dx.doi.org/10.1016/j.chaos.2006.03.005 |
|
[20] |
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 |
|
[21] |
Crasmareanu, M. and Hretcanu, C. (2008) Golden Differential Geometry. Chaos, Solitons & Fractals, 38, 1229-1238.
http://dx.doi.org/10.1016/j.chaos.2008.04.007 |
|
[22] |
El Naschie, M.S. (1998) Von Neumann Geometry and E-Infinity Quantum Spacetime. Chaos, Solitons & Fractals, 9, 2023-2030. |
|
[23] |
El Naschie, M.S. (2007) On the Universality Class of All Universality Classes and E-Infinity Spacetime Physics. Chaos, Solitons & Fractals, 32, 927-936. http://dx.doi.org/10.1016/j.chaos.2006.08.017 |
|
[24] |
El Naschie, M.S. (2014) Why E Is Not Equal to mc2. Journal of Modern Physics, 5, 743-750.
http://dx.doi.org/10.4236/jmp.2014.59084 |
|
[25] |
El Naschie, M.S. (2008) Average Exceptional Lie Group Hierarchy and High Energy Physics. American Institute of Physics Conference Proceedings, 1018, 15-20. |
|
[26] |
He, J.-H., Goldfain, E., Sigalotti, L.D. and Mejias, A. (2006) Beyond the 2006 Physics Nobel Prize for COBE: An Introduction to E-Infinity Spacetime Theory. China Science & Culture Publishing, Shanghai. |
|
[27] |
El Naschie, M.S. (2001) On a General Theory for Quantum Gravity. In: Diebner, H., Druckry, T. and Weibel, P., Eds., Science of the Interface, Genista Verlag, Tübingen, 52-57. |
|
[28] |
Duff, M. (1999) The World in Eleven Dimensions. IOP Publishing, Bristol. |
|
[29] |
Kaku, M. (2000) Strings, Conformal Fields and M-Theory. Springer, New York.
http://dx.doi.org/10.1007/978-1-4612-0503-6 |
|
[30] |
Amendola, L. and Tsujikawa, S. (2010) Dark Energy: Theory and Observations. Cambridge University Press, Cambridge. |
|
[31] |
Rindler, W. (2004) Relativity (Special, General and Cosmological). Oxford University Press, Oxford. |
|
[32] |
Halvorson, H. (2011) Deep Beauty—Understanding the Quantum World through Mathematical Innovation. Cambridge University Press, Cambridge. http://dx.doi.org/10.1017/CBO9780511976971 |
|
[33] |
Ho, M.-W. (2014) E-Infinity Spacetime, Quantum Paradoxes and Quantum Gravity. Journal of the Institute of Science in Society, 62, 40-43. |
|
[34] |
El Naschie, M.S. (1998) Superstrings, Knots and Noncommutative Geometry in E-Infinity Space. International Journal of Theoretical Physics, 37, 2935-2951.
http://dx.doi.org/10.1023/A:1026679628582 |
|
[35] |
El Naschie, M.S. (2006) Elementary Number Theory in Superstring Loop Quantum Mechanics, Twistors and E-Infinity High Energy Physics. Chaos, Solitons & Fractals, 27, 297-330.
http://dx.doi.org/10.1016/j.chaos.2005.04.116 |
|
[36] |
El Naschie, M.S. (2004) Quantum Gravity, Clifford Algebra, Fuzzy Set Theory and the Fundamental Constants of Nature. Chaos, Solitons & Fractals, 20, 297-330.
http://dx.doi.org/10.1016/j.chaos.2003.09.029 |
|
[37] |
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 |
|
[38] |
El Naschie, M.S. (2009) Wild Topology, Hyperbolic Geometry and Fusion Algebra of High Energy Particle Physics. Chaos, Solitons & Fractals, 13, 1935-1945. http://dx.doi.org/10.1016/S0960-0779(01)00242-9 |
|
[39] |
El Naschie, M.S. (2006) Hilbert, Fock and Cantorian Spaces in the Quantum Two-Slit Gedanken Experiment. Chaos, Solitons & Fractals, 27, 39-42. http://dx.doi.org/10.1016/j.chaos.2005.04.094 |
|
[40] |
El Naschie, M.S. (1998) Penrose Universe and Cantorian Spacetime as a Model for Noncommutative Quantum Geometry. Chaos, Solitons & Fractals, 9, 931-933. http://dx.doi.org/10.1016/S0960-0779(98)00077-0 |
|
[41] |
El Naschie, M.S. (2006) On an Eleven Dimensional E-Infinity Fractal Spacetime Theory. International Journal of Nonlinear Sciences & Numerical Simulation, 7, 407-409. |
|
[42] |
El Naschie, M.S. (2013) A Resolution of the Cosmic Dark Energy via Quantum Entanglement Relativity Theory. Journal of Quantum Information Science, 3, 23-26. http://dx.doi.org/10.4236/jqis.2013.31006 |
|
[43] |
El Naschie, M.S. (2006) Topics in the Mathematical Physics of E-Infinity Theory. Chaos, Solitons & Fractals, 30, 656-663. http://dx.doi.org/10.1016/j.chaos.2006.04.043 |
|
[44] |
El Naschie, M.S. (2007) From Symmetry to Particles. Chaos, Solitons & Fractals, 32, 427-430.
http://dx.doi.org/10.1016/j.chaos.2006.09.016 |
|
[45] |
Nottale, L. (2011) Scale Relativity and Fractal Space-Time. Imperial College Press, London. |
|
[46] |
El Naschie, M.S. (1994) Average Symmetry, Stability and Ergodicity of Multidimensional Cantor Sets. Il Nuovo Cimento B Series 11, 2, 149-157. http://dx.doi.org/10.1007/BF02727425 |
|
[47] |
El Naschie, M.S. (1998) Fredholm Operator and the Wave-Particle Duality. Chaos, Solitons & Fractals, 9, 975-978.
http://dx.doi.org/10.1016/S0960-0779(98)00076-9 |
|
[48] |
El Naschie, M.S. (2008) Symmetry Group Prerequisite for E-Infinity High Energy Physics. Chaos, Solitons & Fractals, 35, 975-978. |
|
[49] |
El Naschie, M.S. (2007) Hilbert Space, Poincaré Dodecahedron and Golden Mean Transfiniteness. Chaos, Solitons & Fractals, 31, 787-793. http://dx.doi.org/10.1016/j.chaos.2006.06.003 |
|
[50] |
Neuenschwander, D. (2011) Emmy Noether’s Wonderful Theorem. The Johns Hopkins University Press, Baltimore. |
|
[51] |
Balachandran, A., Kurkcuoglu, S. and Vaidya, S. (2007) Lectures on Fuzzy and Fuzzy SUSY Physics. World Scientific, Singapore. |
|
[52] |
Finkelstein, D.R. (1996) Quantum Relativity. A Synthesis of the Ideas of Einstein and Heisenberg. Springer, Berlin. |
|
[53] |
El Naschie, M.S. (2014) On a New Elementary Particle from the Disintegration of the Symplectic ‘tHooft-Veltman-Wilson Fractal Spacetime. World Journal of Nuclear Science and Technology, 4, 216-221.
http://dx.doi.org/10.4236/wjnst.2014.44027 |
|
[54] |
El Naschie, M.S. (2014) From Modified Newtonian Gravity to Dark Energy via Quantum Entanglement. Journal of Applied Mathematics and Physics, 2, 803-806. |
|
[55] |
Tang, W., Li, Y., Kong, H.Y. and El Naschie, M.S. (2014) From Nonlocal Elasticity to Nonlocal Spacetime and Nanoscience. Bubbfil Nano Technology, 1, 3-12. |
|
[56] |
El Naschie, M.S. (2014) Cosmic Dark Energy Density from Classical Mechanics and Seemingly Redundant Riemannian Finitely Many Tensor Components of Einstein’s General Relativity. World Journal of Mechanics, 4, 153-156.
http://dx.doi.org/10.4236/wjm.2014.46017 |
|
[57] |
El Naschie, M.S. (2014) Compactified Dimensions as Produced by Quantum Entanglement, the Four Dimensionality of Einstein’s Smooth Spacetime and ‘tHooft’s 4-ε Fractal Spacetime. American Journal of Astronomy & Astrophysics, 2, 34-37. |
|
[58] |
Auffray, J.-P. (2014) E-Infinity Dualities, Discontinuous Spacetimes, Xonic Quantum Physics and the Decisive Experiment.Journal of Modern Physics, 5, 1427-1436. |
|
[59] |
El Naschie, M.S. (2014) Electromagnetic—Pure Gravity Connection via Hardy’s Quantum Entanglement.Journal of Electromagnetic Analysis and Applications, 6, 233-237. |
|
[60] |
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. |
|
[61] |
Wigner, E.P. (1960) The Unreasonable Effectiveness of Mathematics in Natural Science. Communications in Pure and Applied Mathematics, 13, 1-14. http://dx.doi.org/10.1002/cpa.3160130102 |
|
[62] |
Changeux, J. and Connes, A. (1989) Conversation on Mind, Matter and Mathematics. Princeton University Press, Princeton. |
|
[63] |
Helal, M.A., 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 eww141219lx |