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A guide to the mathematics of E-infinity Cantorian spacetime theory

Citations

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Cited by:

  1. Sun, Lei & Cheng, Zhengxing & Huang, Yongdong, 2007. "Construction of trivariate biorthogonal compactly supported wavelets," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1412-1420.
  2. 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.
  3. ElOkaby, Ayman A., 2007. "A short review of the Higgs boson mass and E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 14-25.
  4. Rami, El-Nabulsi Ahmad, 2009. "On the fractional minimal length Heisenberg–Weyl uncertainty relation from fractional Riccati generalized momentum operator," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 84-88.
  5. Han, Jincang & Cheng, Zhengxing, 2009. "On the splitting trick and wavelets packets with arbitrary dilation matrix of L2(Rs)," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 130-137.
  6. Iovane, Gerardo & Giordano, Paola, 2007. "Wavelets and multiresolution analysis: Nature of ε(∞) Cantorian space–time," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 896-910.
  7. Iovane, Gerardo, 2009. "The set of prime numbers: Multiscale analysis and numeric accelerators," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1953-1965.
  8. Huang, Yongdong & Cheng, Zhengxing, 2007. "Minimum-energy frames associated with refinable function of arbitrary integer dilation factor," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 503-515.
  9. El Naschie, M.S., 2006. "An elementary proof for the nine missing particles of the standard model," Chaos, Solitons & Fractals, Elsevier, vol. 28(5), pages 1136-1138.
  10. He, Ji-Huan, 2006. "Application of E-infinity theory to turbulence," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 506-511.
  11. Sergeyev, Yaroslav D., 2009. "Evaluating the exact infinitesimal values of area of Sierpinski’s carpet and volume of Menger’s sponge," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3042-3046.
  12. Dai, Meifeng & Jiang, Ying, 2009. "Fractal dimension and measure of the subset of Moran set," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 190-196.
  13. Dai, Meifeng & Liu, Dehua, 2008. "The local dimension of Moran measures satisfying the strong separation condition," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1025-1030.
  14. Mesón, Alejandro & Vericat, Fernando, 2009. "Simultaneous multifractal decompositions for the spectra of local entropies and ergodic averages," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2353-2363.
  15. El Naschie, M.S., 2005. "Stability Analysis of the two-slit experiment with quantum particles," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 291-294.
  16. Sun, Lei & Cheng, Zhengxing, 2007. "Construction of a class of compactly supported orthogonal vector-valued wavelets," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 253-261.
  17. EL-Nabulsi, Ahmad Rami, 2009. "Fractional Nottale’s Scale Relativity and emergence of complexified gravity," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2924-2933.
  18. El Naschie, Mohamed Saladin, 2006. "Is gravity less fundamental than elementary particles theory? Critical remarks on holography and E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 803-807.
  19. Chen, Qingjiang & Wei, Zongtian & Feng, Jinshun, 2009. "A note on the standard dual frame of a wavelet frame with three-scale," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 931-937.
  20. Wang, Xiao-Feng & Gao, Hongwei & Jinshun, Feng, 2009. "The characterization of vector-valued multivariate wavelet packets associated with a dilation matrix," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 1959-1966.
  21. Li, Rui & Wu, Guochang, 2009. "The orthogonal interpolating balanced multiwavelet with rational coefficients," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 892-899.
  22. El Naschie, M.S., 2008. "An energy balance Eigenvalue equation for determining super strings dimensional hierarchy and coupling constants," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1283-1285.
  23. He, Ji-Huan, 2006. "Application of E-infinity theory to biology," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 285-289.
  24. Materassi, Massimo & Wernik, Andrzej W. & Yordanova, Emiliya, 2006. "Statistics in the p-model," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 642-655.
  25. Chen, Qingjiang & Huo, Ailian, 2009. "The research of a class of biorthogonal compactly supported vector-valued wavelets," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 951-961.
  26. El Naschie, M.S., 2005. "From experimental quantum optics to quantum gravity via a fuzzy Kähler manifold," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 969-977.
  27. Chen, Qing-Jiang & Qu, Xiao-Gang, 2009. "Characteristics of a class of vector-valued non-separable higher-dimensional wavelet packet bases," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1676-1683.
  28. Yan, Zhenzhen & Chen, Ercai, 2007. "Multifractal analysis of local entropies for recurrence time," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1584-1591.
  29. El Naschie, M.S., 2006. "Superstrings, entropy and the elementary particles content of the standard model," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 48-54.
  30. El-Nabulsi, Rami Ahmad, 2009. "Fractional Dirac operators and deformed field theory on Clifford algebra," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2614-2622.
  31. He, Ji-Huan, 2007. "Shrinkage of body size of small insects: A possible link to global warming?," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 727-729.
  32. Chen, Qingjiang & Cheng, Zhengxing, 2007. "A study on compactly supported orthogonal vector-valued wavelets and wavelet packets," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 1024-1034.
  33. Iovane, G. & Chinnici, M. & Tortoriello, F.S., 2008. "Multifractals and El Naschie E-infinity Cantorian space–time," Chaos, Solitons & Fractals, Elsevier, vol. 35(4), pages 645-658.
  34. Chen, Qingjiang & Shi, Zhi, 2008. "Construction and properties of orthogonal matrix-valued wavelets and wavelet packets," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 75-86.
  35. 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.
  36. Chen, Qingjiang & Cheng, Zhengxing & Wang, Cuiling, 2007. "Affine pseudoframes for subspaces of L2(R) associated with a generalized multiresolution structure," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1401-1411.
  37. Iovane, G., 2006. "Cantorian spacetime and Hilbert space: Part I—Foundations," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 857-878.
  38. Chen, Qingjiang & Zhao, Yanhui & Gao, Hongwei, 2009. "Existence and characterization of orthogonal multiple vector-valued wavelets with three-scale," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2484-2493.
  39. 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.
  40. Qiu, Hua & Su, Weiyi, 2007. "3-Adic Cantor function on local fields and its p-adic derivative," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1625-1634.
  41. 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.
  42. 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.
  43. Chen, Qingjiang & Shi, Zhi, 2008. "Biorthogonal multiple vector-valued multivariate wavelet packets associated with a dilation matrix," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 323-332.
  44. El Naschie, M.S., 2006. "E-infinity theory—Some recent results and new interpretations," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 845-853.
  45. Al-Khawaja, Sameer, 2008. "Impulsive current-induced superconducting junction in spatially broken symmetry of fluxons," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 382-387.
  46. EL-Nabulsi, Ahmad Rami, 2009. "Fractional action-like variational problems in holonomic, non-holonomic and semi-holonomic constrained and dissipative dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 52-61.
  47. El Naschie, M.S., 2005. "Spinorial content of the standard model, a different look at super-symmetry and fuzzy E-infinity hyper Kähler," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 303-311.
  48. Estrada, Ernesto, 2007. "Graphs (networks) with golden spectral ratio," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1168-1182.
  49. Wu, Guochang & Cheng, Zhengxing & Li, Dengfeng & Zhang, Fangjuan, 2008. "Parseval frame wavelets associated with A-FMRA," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1233-1243.
  50. Huang, Yongdong & Lei, Chongmin & Yang, Miao, 2009. "The construction of a class of trivariate nonseparable compactly supported orthogonal wavelets," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1530-1537.
  51. Sun, Lei & Li, Gang, 2009. "Generalized orthogonal multiwavelet packets," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2420-2424.
  52. Liu, Zhanwei & Hu, Guoen & Wu, Guochang, 2009. "Frame scaling function sets and frame wavelet sets in Rd," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2483-2490.
  53. Naschie, M.S. El, 2006. "Fractal black holes and information," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 23-35.
  54. El-Okaby, Ayman A., 2008. "Exceptional Lie groups, E-infinity theory and Higgs Boson," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1305-1317.
  55. Iovane, Gerardo, 2008. "The set of prime numbers: Symmetries and supersymmetries of selection rules and asymptotic behaviours," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 950-961.
  56. Dai, Meifeng & Jiang, Ying, 2009. "The equivalence of multifractal measures on cookie-cutter-like sets," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1408-1415.
  57. Mahmoud, I.S., 2006. "The Higgs mass using E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 263-268.
  58. El Naschie, M.S., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.
  59. Han, Jincang & Cheng, Zhengxing & Chen, Qingjiang, 2009. "A study of biorthogonal multiple vector-valued wavelets," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1574-1587.
  60. Wu, Guochang & Li, Zhiqiang & Cheng, Zhengxing, 2009. "Construction of wavelets with composite dilations," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2447-2456.
  61. El Naschie, M.S., 2006. "Holographic dimensional reduction: Center manifold theorem and E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 816-822.
  62. Iovane, G., 2006. "Cantorian space–time and Hilbert space: Part II—Relevant consequences," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 1-22.
  63. Mukhamedov, Alfred M., 2006. "Dynamic paradigm of turbulence," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 278-289.
  64. Chen, W., 2006. "Time–space fabric underlying anomalous diffusion," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 923-929.
  65. Sergeyev, Yaroslav D., 2007. "Blinking fractals and their quantitative analysis using infinite and infinitesimal numbers," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 50-75.
  66. Sigalotti, Leonardo Di G. & Mejias, Antonio, 2006. "The golden ratio in special relativity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 521-524.
  67. Iovane, Gerardo, 2008. "The distribution of prime numbers: The solution comes from dynamical processes and genetic algorithms," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 23-42.
  68. Sun, Lei & Zhang, Xiaozhong, 2009. "A note on biorthogonality of the scaling functions with arbitrary matrix dilation factor," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 711-715.
  69. Iovane, G. & Gargiulo, G. & Zappale, E., 2006. "A Cantorian potential theory for describing dynamical systems on El Naschie’s space–time," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 588-598.
  70. Rami, El-Nabulsi Ahmad, 2009. "Fractional illusion theory of space: Fractional gravitational field with fractional extra-dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 377-384.
  71. El-Nabulsi, Ahmad Rami, 2009. "Complexified quantum field theory and “mass without mass” from multidimensional fractional actionlike variational approach with dynamical fractional exponents," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2384-2398.
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