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Elementary prerequisites for E-infinity

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Cited by:

  1. El Naschie, M.S., 2007. "The Fibonacci code behind super strings and P-Branes. An answer to M. Kaku’s fundamental question," Chaos, Solitons & Fractals, Elsevier, vol. 31(3), pages 537-547.
  2. Marek-Crnjac, L., 2008. "The connection between the electromagnetic fine structure constant α¯0 and the monster Lie algebra," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 257-262.
  3. Kocer, E. Gokcen & Tuglu, Naim & Stakhov, Alexey, 2009. "On the m-extension of the Fibonacci and Lucas p-numbers," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1890-1906.
  4. El Naschie, M. Saladin, 2006. "Intermediate prerequisites for E-infinity theory (Further recommended reading in nonlinear dynamics and mathematical physics)," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 622-628.
  5. Liu, Zhanwei & Hu, Guoen & Wu, Guochang & Jiang, Bin, 2008. "Semi-orthogonal frame wavelets and Parseval frame wavelets associated with GMRA," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1449-1456.
  6. El Naschie, M.S., 2006. "Topics in the mathematical physics of E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 656-663.
  7. Nasef, Arafa A. & Hatir, E., 2009. "On fuzzy pre-I-open sets and a decomposition of fuzzy I-continuity," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1185-1189.
  8. Chen, Qingjiang & Liu, Baocang & Cao, Huaixin, 2009. "Construction of a sort of multiple pseudoframes for subspaces with filter banks," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 801-808.
  9. El Naschie, M.S., 2008. "One and two-stein space hierarchies in high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1189-1190.
  10. Yao, K. & Liang, Y.S. & Fang, J.X., 2008. "The fractal dimensions of graphs of the Weyl-Marchaud fractional derivative of the Weierstrass-type function," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 106-115.
  11. El Naschie, M.S., 2009. "Derivation of the Euler characteristic and the curvature of Cantorian-fractal spacetime using Nash Euclidean embedding and the universal Menger sponge," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2394-2398.
  12. El Naschie, M.S., 2007. "Feigenbaum scenario for turbulence and Cantorian E-infinity theory of high energy particle physics," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 911-915.
  13. Marek-Crnjac, L., 2008. "Exceptional Lie groups hierarchy, orthogonal and unitary groups in connection with symmetries of E-infinity space-time," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 517-520.
  14. El Naschie, M.S., 2008. "Removing spurious non-linearity in the structure of micro-spacetime and quantum field renormalization," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 60-64.
  15. He, Ji-Huan & Wan, Yu-Qin & Xu, Lan, 2007. "Nano-effects, quantum-like properties in electrospun nanofibers," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 26-37.
  16. El Naschie, M.S., 2008. "The fundamental algebraic equations of the constants of nature," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 320-322.
  17. El Naschie, M.S., 2008. "Quantum gravity unification via transfinite arithmetic and geometrical averaging," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 252-256.
  18. El Naschie, M.S., 2008. "Exceptional Lie groups hierarchy and some fundamental high energy physics equations," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 82-84.
  19. El Naschie, M.S., 2007. "On the universality class of all universality classes and E-infinity spacetime physics," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 927-936.
  20. El Naschie, M.S., 2008. "Quarks confinement via Kaluza–Klein theory as a topological property of quantum classical spacetime phase transition," Chaos, Solitons & Fractals, Elsevier, vol. 35(5), pages 825-829.
  21. Serletis, Demitre, 2008. "Effect of noise on fractal structure," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 921-924.
  22. He, Ji-Huan, 2007. "On the number of elementary particles in a resolution dependent fractal spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1645-1648.
  23. Wu, Yahao & Wang, Xiao-Tian & Wu, Min, 2009. "Fractional-moment CAPM with loss aversion," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1406-1414.
  24. Mukhamedov, A.M., 2007. "E-infinity as a fiber bundle and its thermodynamics," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 717-724.
  25. Liu, Zhanwei & Hu, Guoen & Lu, Zhibo, 2009. "Parseval frame scaling sets and MSF Parseval frame wavelets," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1966-1974.
  26. El Naschie, M.S., 2007. "Estimating the experimental value of the electromagnetic fine structure constant α¯0=1/137.036 using the Leech lattice in conjunction with the monster group and Spher’s kissing number in 24 dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 383-387.
  27. Zhu, Xiuge & Wu, Guochang, 2009. "A characteristic description of orthonormal wavelet on subspace LE2(R) of L2(R)," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2484-2490.
  28. El Naschie, M.S., 2009. "The crystallographic space groups and Heterotic string theory," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2282-2284.
  29. Elokaby, A., 2009. "On the deep connection between instantons and string states encoder in Klein’s modular space," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 303-305.
  30. Li, Dengfeng & Wu, Guochang, 2009. "Construction of a class of Daubechies type wavelet bases," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 620-625.
  31. El Naschie, M.S., 2008. "A new look at quarks confinement," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1170-1172.
  32. El Naschie, M.S., 2008. "On a major exceptional Lie symmetry groups hierarchy and quantum gravity," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 42-44.
  33. El Naschie, M.S., 2008. "High energy physics and the standard model from the exceptional Lie groups," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 1-17.
  34. Jumarie, Guy, 2009. "From Lagrangian mechanics fractal in space to space fractal Schrödinger’s equation via fractional Taylor’s series," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1590-1604.
  35. El Naschie, M.S., 2009. "Arguments for the compactness and multiple connectivity of our cosmic spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2787-2789.
  36. El Naschie, M.S., 2009. "On zero-dimensional points curvature in the dynamics of Cantorian-fractal spacetime setting and high energy particle physics," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2725-2732.
  37. El Naschie, M. Saladin, 2006. "Advanced prerequisite for E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 636-641.
  38. El Naschie, M.S., 2008. "Kaluza–Klein unification – Some possible extensions," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 16-22.
  39. El Naschie, M.S., 2008. "Quarks confinement," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 6-8.
  40. Marek-Crnjac, L., 2008. "Lie groups hierarchy in connection with the derivation of the inverse electromagnetic fine structure constant from the number of particle-like states 548, 576 and 672," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 332-336.
  41. El Naschie, M.S., 2009. "Higgs mechanism, quarks confinement and black holes as a Cantorian spacetime phase transition scenario," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 869-874.
  42. Munroe, Ray, 2009. "Symplectic tiling, hypercolour and hyperflavor E12," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2135-2138.
  43. Munroe, Ray, 2009. "The MSSM, E8, Hyperflavor E12 and E∞ TOE’s compared and contrasted," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1557-1560.
  44. El Naschie, M.S., 2008. "Conformal E-infinity theory, exceptional Lie groups and the elementary particle content of the standard model," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 216-219.
  45. El Naschie, M.S., 2008. "Transfinite harmonization by taking the dissonance out of the quantum field symphony," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 781-786.
  46. El Naschie, M.S., 2008. "Hierarchy of kissing numbers for exceptional Lie symmetry groups in high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 420-422.
  47. Özer, Mehmet Naci & Taşcan, Filiz, 2009. "Derivation of Korteweg–de Vries flow equations from nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2265-2270.
  48. Yin, Yajun & Zhang, Tong & Yang, Fan & Qiu, Xinming, 2008. "Geometric conditions for fractal super carbon nanotubes with strict self-similarities," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1257-1266.
  49. El Naschie, M.S., 2008. "Deriving the largest expected number of elementary particles in the standard model from the maximal compact subgroup H of the exceptional Lie group E7(-5)," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 956-961.
  50. Ekici, Erdal, 2009. "A note on almost β-continuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 1010-1013.
  51. Mukhamedov, Alfred M., 2007. "The two-slit gedanken experiment in E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 1-4.
  52. Nozari, Kourosh & Sefidgar, A.S., 2008. "The effect of modified dispersion relations on the thermodynamics of black-body radiation," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 339-347.
  53. El Naschie, M.S., 2008. "Derivation of Newton’s gravitational fine structure constant from the spectrum of Heterotic superstring theory," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 303-307.
  54. Li, Hui & Wu, Min & Wang, Xiao-Tian, 2009. "Fractional-moment Capital Asset Pricing model," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 412-421.
  55. El Naschie, M.S., 2008. "On quarks confinement and asymptotic freedom," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1289-1291.
  56. Yao, K. & Liang, Y.S. & Zhang, F., 2009. "On the connection between the order of the fractional derivative and the Hausdorff dimension of a fractal function," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2538-2545.
  57. Zheng, Jing & Lin, Zhengyan & Tong, Changqing, 2009. "The Hausdorff dimension of the range for the Markov processes of Ornstein–Uhlenbeck type," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2008-2013.
  58. El Naschie, M.S., 2008. "Conjectures regarding kissing spheres hierarchy and quantum gravity unification," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 346-350.
  59. Román-Flores, Heriberto, 2008. "Uniform convergence and transitivity," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 148-153.
  60. El Naschie, M.S., 2008. "An outline for a quantum golden field theory," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 317-323.
  61. Nozari, Kourosh & Mehdipour, S. Hamid, 2009. "Failure of standard thermodynamics in planck scale black hole system," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 956-970.
  62. El Naschie, M.S., 2009. "Curvature, Lagrangian and holonomy of Cantorian-fractal spacetime," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2163-2167.
  63. Muruganandam, Paulsamy & Francisco, Gerson & de Menezes, Marcio & Ferreira, Fernando F., 2009. "Low dimensional behavior in three-dimensional coupled map lattices," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 997-1004.
  64. El Naschie, M.S., 2008. "From E-eight to E-Infinity," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 285-290.
  65. El Naschie, M.S., 2007. "SU(5) grand unification in a transfinite form," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 370-374.
  66. El Naschie, M.S., 2008. "Freudental magic square and its dimensional implication for α¯0≃137 and high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 546-549.
  67. Nozari, Kourosh & Mehdipour, S. Hamid, 2007. "Implications of minimal length scale on the statistical mechanics of ideal gas," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1637-1644.
  68. Ekici, Erdal, 2008. "Generalization of weakly clopen and strongly θ-b-continuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 79-88.
  69. El Naschie, M.S., 2009. "The theory of Cantorian spacetime and high energy particle physics (an informal review)," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2635-2646.
  70. Chen, Qingjiang & Cao, Huaixin & Shi, Zhi, 2009. "Construction and characterizations of orthogonal vector-valued multivariate wavelet packets," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1835-1844.
  71. Le Moyne, L. & Freire, V. & Conde, D. Queiros, 2008. "Fractal dimension and scale entropy applications in a spray," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 696-704.
  72. El Naschie, M.S., 2007. "From symmetry to particles," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 427-430.
  73. El Naschie, M.S., 2008. "String theory, exceptional Lie groups hierarchy and the structural constant of the universe," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 7-12.
  74. Chen, Qingjiang & Cao, Huaixin & Shi, Zhi, 2009. "Design and characterizations of a class of orthogonal multiple vector-valued wavelets with 4-scale," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 91-102.
  75. Yuan, De-you & Du, Shu-de & Cheng, Zheng-xing, 2009. "Design and properties of vector-valued wavelets associated with an orthogonal vector-valued scaling function," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1368-1376.
  76. He, Ji-Huan & Xu, Lan & Zhang, Li-Na & Wu, Xu-Hong, 2007. "Twenty-six dimensional polytope and high energy spacetime physics," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 5-13.
  77. Liang, Y.S. & Su, W.Y., 2007. "The relationship between the fractal dimensions of a type of fractal functions and the order of their fractional calculus," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 682-692.
  78. El Naschie, M.S., 2008. "Asymptotic freedom and unification in a golden quantum field theory," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 521-525.
  79. El Naschie, M.S., 2008. "Fuzzy knot theory interpretation of Yang–Mills instantons and Witten’s 5-Brane model," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1349-1354.
  80. Ekici, Erdal & Noiri, Takashi, 2009. "Decompositions of continuity, α-continuity and AB-continuity," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2055-2061.
  81. El Naschie, M.S., 2006. "Fuzzy Dodecahedron topology and E-infinity spacetime as a model for quantum physics," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1025-1033.
  82. Marek-Crnjac, L., 2008. "From Arthur Cayley via Felix Klein, Sophus Lie, Wilhelm Killing, Elie Cartan, Emmy Noether and superstrings to Cantorian space–time," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1279-1288.
  83. Falcón, Sergio & Plaza, Ángel, 2007. "The k-Fibonacci sequence and the Pascal 2-triangle," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 38-49.
  84. Xu, Lan, 2009. "A mathematical model for electrospinning process under coupled field forces," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1463-1465.
  85. Goldfain, Ervin, 2008. "Critical behavior in continuous dimension, ε∞ theory and particle physics," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 928-935.
  86. El Naschie, M.S., 2009. "Kac–Moody exceptional E12 from simplictic tiling," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1569-1571.
  87. Elokaby, A., 2009. "On the Fibonacci origin of the internal symmetries of super strings and 5-Brane in 11 dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2502-2504.
  88. El Naschie, M.S., 2007. "Hilbert space, Poincaré dodecahedron and golden mean transfiniteness," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 787-793.
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