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Volumn 30, Issue 3, 2006, Pages 579-605

Elementary prerequisites for E-infinity. (Recommended background readings in nonlinear dynamics, geometry and topology)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; COMPUTATIONAL GEOMETRY; HIGH ENERGY PHYSICS; NUMERICAL ANALYSIS; THEOREM PROVING; TOPOLOGY;

EID: 33745149405     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.03.030     Document Type: Article
Times cited : (135)

References (72)
  • 2
    • 0037774540 scopus 로고    scopus 로고
    • A review of E-infinity theory and the mass spectrum of high energy particle physics
    • El Naschie M.S. A review of E-infinity theory and the mass spectrum of high energy particle physics. Chaos, Solitons & Fractals 19 (2004) 209-236
    • (2004) Chaos, Solitons & Fractals , vol.19 , pp. 209-236
    • El Naschie, M.S.1
  • 3
    • 33745174051 scopus 로고    scopus 로고
    • Ord G. (Ed)
    • In: Ord G. (Ed). Transfinite physics. Chaos, Solitons & Fractals 25 4 (2005)
    • (2005) Chaos, Solitons & Fractals , vol.25 , Issue.4
  • 4
    • 30344475073 scopus 로고    scopus 로고
    • Weibel P., Ord G., and Rössler O. (Eds), Springer, Vienna, New York
    • In: Weibel P., Ord G., and Rössler O. (Eds). Spacetime physics and fractality (2005), Springer, Vienna, New York
    • (2005) Spacetime physics and fractality
  • 6
  • 8
    • 27744484158 scopus 로고    scopus 로고
    • El Naschie E-infinity, Cantorian spacetime, Fantappie's group and applications in cosmology
    • Iovane G., and Benedetto E. El Naschie E-infinity, Cantorian spacetime, Fantappie's group and applications in cosmology. Int J Nonlinear Sci Numer Simul 6 4 (2005) 357-370
    • (2005) Int J Nonlinear Sci Numer Simul , vol.6 , Issue.4 , pp. 357-370
    • Iovane, G.1    Benedetto, E.2
  • 9
    • 27844505158 scopus 로고    scopus 로고
    • The Feynman Path Integral and E-infinity from the two-slit Gedaneken experiment
    • El Naschie M.S. The Feynman Path Integral and E-infinity from the two-slit Gedaneken experiment. Int J Nonlinear Sci Numer Simul 6 4 (2005) 335-342
    • (2005) Int J Nonlinear Sci Numer Simul , vol.6 , Issue.4 , pp. 335-342
    • El Naschie, M.S.1
  • 10
    • 20844448944 scopus 로고    scopus 로고
    • Complex dynamics and the high energy regime of quantum field theory
    • Goldfain E. Complex dynamics and the high energy regime of quantum field theory. Int J Nonlinear Sci Numer Simul 6 3 (2005) 223-234
    • (2005) Int J Nonlinear Sci Numer Simul , vol.6 , Issue.3 , pp. 223-234
    • Goldfain, E.1
  • 11
    • 27144487743 scopus 로고    scopus 로고
    • Application of E-infinity to biology
    • He J.H. Application of E-infinity to biology. Chaos, Solitons & Fractals 28 2 (2006) 285-289
    • (2006) Chaos, Solitons & Fractals , vol.28 , Issue.2 , pp. 285-289
    • He, J.H.1
  • 12
    • 0024136340 scopus 로고
    • Order, chaos and generalized bifurcation
    • Published by King Saud University Libraries. Riyadh-Saudi Arabia
    • El Naschie M.S. Order, chaos and generalized bifurcation. J Eng Sci King Saud University 14 2 (1988) 437-444 Published by King Saud University Libraries. Riyadh-Saudi Arabia
    • (1988) J Eng Sci King Saud University , vol.14 , Issue.2 , pp. 437-444
    • El Naschie, M.S.1
  • 18
    • 0001816458 scopus 로고
    • Quantitative universality for a class of nonlinear transformations
    • Feigenbaum M. Quantitative universality for a class of nonlinear transformations. J Statist Phys 19 (1978) 25-52
    • (1978) J Statist Phys , vol.19 , pp. 25-52
    • Feigenbaum, M.1
  • 20
    • 18444375584 scopus 로고    scopus 로고
    • A guide to the mathematics of E-infinity cantorian spacetime theory
    • El Naschie M.S. A guide to the mathematics of E-infinity cantorian spacetime theory. Chaos, Soliton & Fractals 25 (2005) 964-995
    • (2005) Chaos, Soliton & Fractals , vol.25 , pp. 964-995
    • El Naschie, M.S.1
  • 22
    • 0036722174 scopus 로고    scopus 로고
    • On a class of general theories for high energy particle physics
    • El Naschie M.S. On a class of general theories for high energy particle physics. Chaos, Solitons & Fractals 14 (2002) 649-668
    • (2002) Chaos, Solitons & Fractals , vol.14 , pp. 649-668
    • El Naschie, M.S.1
  • 23
    • 0035124140 scopus 로고    scopus 로고
    • On 'tHooft's dimensional regularization in E-infinity space
    • El Naschie M.S. On 'tHooft's dimensional regularization in E-infinity space. Chaos, Solitons & Fractals 12 (2001) 851-858
    • (2001) Chaos, Solitons & Fractals , vol.12 , pp. 851-858
    • El Naschie, M.S.1
  • 24
    • 0343600012 scopus 로고
    • Superstrings, knots and non-commutative geometry in E-infinity space
    • El Naschie M.S. Superstrings, knots and non-commutative geometry in E-infinity space. Int J Theor Phys 37 12 (1988) 2935-2951
    • (1988) Int J Theor Phys , vol.37 , Issue.12 , pp. 2935-2951
    • El Naschie, M.S.1
  • 25
  • 26
    • 0038076028 scopus 로고    scopus 로고
    • The VAK of vacuum fluctuation spontaneous self-organization and complexity theory interpretation of high energy particle physics and the mass problem
    • El Naschie M.S. The VAK of vacuum fluctuation spontaneous self-organization and complexity theory interpretation of high energy particle physics and the mass problem. Chaos, Solitons & Fractals 18 (2003) 401-442
    • (2003) Chaos, Solitons & Fractals , vol.18 , pp. 401-442
    • El Naschie, M.S.1
  • 27
    • 27144443006 scopus 로고    scopus 로고
    • Elementary particle mass, subquark model and E-infinity theory
    • Tanaka Y. Elementary particle mass, subquark model and E-infinity theory. Chaos, Solitons & Fractals 28 2 (2006) 290-305
    • (2006) Chaos, Solitons & Fractals , vol.28 , Issue.2 , pp. 290-305
    • Tanaka, Y.1
  • 28
    • 0037289914 scopus 로고    scopus 로고
    • On mass spectrum of elementary particles of the standard model using El Naschie's golden field theory
    • Marek-Crnjac L. On mass spectrum of elementary particles of the standard model using El Naschie's golden field theory. Chaos, Solitons & Fractals 15 (2003) 611-618
    • (2003) Chaos, Solitons & Fractals , vol.15 , pp. 611-618
    • Marek-Crnjac, L.1
  • 29
    • 33745141802 scopus 로고
    • On the morphology of controlled systems
    • Leipholz H. (Ed), North Holland, Amsterdam
    • El Naschie M.E., and Alathel S. On the morphology of controlled systems. In: Leipholz H. (Ed). In: Proc of IUTAM symp on structural control (1980), North Holland, Amsterdam 237-250
    • (1980) In: Proc of IUTAM symp on structural control , pp. 237-250
    • El Naschie, M.E.1    Alathel, S.2
  • 31
    • 84944439457 scopus 로고
    • On the connection between statical and dynamical chaos
    • El Naschie M.S., and Alathel S. On the connection between statical and dynamical chaos. Z Naturforsch 449 (1989) 645-650
    • (1989) Z Naturforsch , vol.449 , pp. 645-650
    • El Naschie, M.S.1    Alathel, S.2
  • 32
    • 22844435047 scopus 로고    scopus 로고
    • Elementary number theory in superstrings, loop quantum mechanics, twisters and E-infinity high energy physics
    • El Naschie M.S. Elementary number theory in superstrings, loop quantum mechanics, twisters and E-infinity high energy physics. Chaos, Solitons & Fractals 27 (2006) 297-330
    • (2006) Chaos, Solitons & Fractals , vol.27 , pp. 297-330
    • El Naschie, M.S.1
  • 33
    • 0344493807 scopus 로고    scopus 로고
    • On the unification of all fundamental forces in a fundamentally fuzzy cantorian E-infinity manifold and high energy particle physics
    • Marek-Crnjac L. On the unification of all fundamental forces in a fundamentally fuzzy cantorian E-infinity manifold and high energy particle physics. Chaos, Solitons & Fractals 20 (2004) 669-682
    • (2004) Chaos, Solitons & Fractals , vol.20 , pp. 669-682
    • Marek-Crnjac, L.1
  • 34
    • 33645070279 scopus 로고    scopus 로고
    • Holographic dimensional reduction, Center manifold theorem and E-infinity
    • El Naschie M.S. Holographic dimensional reduction, Center manifold theorem and E-infinity. Chaos, Solitons & Fractals 29 4 (2006) 816-822
    • (2006) Chaos, Solitons & Fractals , vol.29 , Issue.4 , pp. 816-822
    • El Naschie, M.S.1
  • 35
    • 33645087130 scopus 로고    scopus 로고
    • Holographic correspondence and quantum gravity in E-infinity spacetime
    • El Naschie M.S. Holographic correspondence and quantum gravity in E-infinity spacetime. Chaos, Solitons & Fractals 29 4 (2006) 871-875
    • (2006) Chaos, Solitons & Fractals , vol.29 , Issue.4 , pp. 871-875
    • El Naschie, M.S.1
  • 36
    • 33645069656 scopus 로고    scopus 로고
    • Is gravity less fundamental than elementary particles theory?
    • El Naschie M.S. Is gravity less fundamental than elementary particles theory?. Chaos, Solitons & Fractals 29 4 (2006) 803-807
    • (2006) Chaos, Solitons & Fractals , vol.29 , Issue.4 , pp. 803-807
    • El Naschie, M.S.1
  • 37
    • 33645079151 scopus 로고    scopus 로고
    • On two new fuzzy Kähler manifolds, Klein modular space and 't Hooft holographic principles
    • El Naschie M.S. On two new fuzzy Kähler manifolds, Klein modular space and 't Hooft holographic principles. Chaos, Solitons & Fractals 29 4 (2006) 876-881
    • (2006) Chaos, Solitons & Fractals , vol.29 , Issue.4 , pp. 876-881
    • El Naschie, M.S.1
  • 38
    • 30344459456 scopus 로고    scopus 로고
    • Fractal blackholes and information
    • El Naschie M.S. Fractal blackholes and information. Chaos, Solitons & Fractals 29 1 (2006) 23-35
    • (2006) Chaos, Solitons & Fractals , vol.29 , Issue.1 , pp. 23-35
    • El Naschie, M.S.1
  • 39
    • 30344487002 scopus 로고    scopus 로고
    • Superstring theory: What it cannot do but E-infinity could
    • El Naschie M.S. Superstring theory: What it cannot do but E-infinity could. Chaos, Solitons & Fractals 29 1 (2006) 65-68
    • (2006) Chaos, Solitons & Fractals , vol.29 , Issue.1 , pp. 65-68
    • El Naschie, M.S.1
  • 40
    • 30344468172 scopus 로고    scopus 로고
    • Superstrings, entropy and the elementary particles content of the standard model
    • El Naschie M.S. Superstrings, entropy and the elementary particles content of the standard model. Chaos, Solitons & Fractals 29 1 (2006) 48-54
    • (2006) Chaos, Solitons & Fractals , vol.29 , Issue.1 , pp. 48-54
    • El Naschie, M.S.1
  • 42
    • 0036643089 scopus 로고    scopus 로고
    • Wild topology, hyperbolic geometry and fusion algebra of high energy particle physics
    • El Naschie M.S. Wild topology, hyperbolic geometry and fusion algebra of high energy particle physics. Chaos, Solitons & Fractals 13 (2002) 1935-1945
    • (2002) Chaos, Solitons & Fractals , vol.13 , pp. 1935-1945
    • El Naschie, M.S.1
  • 43
    • 18544386839 scopus 로고    scopus 로고
    • Kähler-like manifolds, Weyl spinor particles and E-infinity high energy physics
    • El Naschie M.S. Kähler-like manifolds, Weyl spinor particles and E-infinity high energy physics. Chaos, Solitons & Fractals 26 (2005) 665-670
    • (2005) Chaos, Solitons & Fractals , vol.26 , pp. 665-670
    • El Naschie, M.S.1
  • 44
    • 17644421847 scopus 로고    scopus 로고
    • Non-Euclidean spacetime structure and the two-slit experiment
    • El Naschie M.S. Non-Euclidean spacetime structure and the two-slit experiment. Chaos, Solitons & Fractals 26 (2005) 1-6
    • (2005) Chaos, Solitons & Fractals , vol.26 , pp. 1-6
    • El Naschie, M.S.1
  • 45
    • 0344062627 scopus 로고    scopus 로고
    • New elementary particles as a possible product of a disintegrating symplectic vacuum
    • El Naschie M.S. New elementary particles as a possible product of a disintegrating symplectic vacuum. Chaos, Solitons & Fractals 20 (2004) 905-913
    • (2004) Chaos, Solitons & Fractals , vol.20 , pp. 905-913
    • El Naschie, M.S.1
  • 46
    • 4944244080 scopus 로고    scopus 로고
    • Topological defects in the symplictic vacuum, anomalous positron production and the gravitational instantion
    • El Naschie M.S. Topological defects in the symplictic vacuum, anomalous positron production and the gravitational instantion. Int J Modern Phys 13 4 (2004) 835-849
    • (2004) Int J Modern Phys , vol.13 , Issue.4 , pp. 835-849
    • El Naschie, M.S.1
  • 47
    • 2942677285 scopus 로고    scopus 로고
    • Supersymmetry, transfinite neural networks, hyperbolic manifolds, quantum gravity and the Higgs
    • El Naschie M.S. Supersymmetry, transfinite neural networks, hyperbolic manifolds, quantum gravity and the Higgs. Chaos, Solitons & Fractals 22 (2004) 999-1006
    • (2004) Chaos, Solitons & Fractals , vol.22 , pp. 999-1006
    • El Naschie, M.S.1
  • 48
    • 32644455677 scopus 로고    scopus 로고
    • Linderhoff room of mirrors, Thurston three-manifolds and the geometry of our universe
    • El Naschie M.S. Linderhoff room of mirrors, Thurston three-manifolds and the geometry of our universe. Int J Nonlinear Sci Numer Simul 7 1 (2006) 97-100
    • (2006) Int J Nonlinear Sci Numer Simul , vol.7 , Issue.1 , pp. 97-100
    • El Naschie, M.S.1
  • 49
    • 33745137001 scopus 로고    scopus 로고
    • Zee A. Quantum Field Theory. Princeton 2003.
  • 52
    • 10844240531 scopus 로고    scopus 로고
    • On 336 Kissing spheres in 10 dimensions and the 60 elementary particles of the standard model
    • El Naschie M.S. On 336 Kissing spheres in 10 dimensions and the 60 elementary particles of the standard model. Chaos, Solitons & Fractals 24 (2005) 447-457
    • (2005) Chaos, Solitons & Fractals , vol.24 , pp. 447-457
    • El Naschie, M.S.1
  • 53
    • 0033177669 scopus 로고    scopus 로고
    • The golden mean in quantum geometry, knot theory and related topics
    • El Naschie M.S. The golden mean in quantum geometry, knot theory and related topics. Chaos, Solitons & Fractals 10 8 (1999) 1303-1307
    • (1999) Chaos, Solitons & Fractals , vol.10 , Issue.8 , pp. 1303-1307
    • El Naschie, M.S.1
  • 54
    • 0032154948 scopus 로고    scopus 로고
    • The mean sphere 〈s〉 as a three manifold in R
    • El Naschie M.S. The mean sphere 〈s〉 as a three manifold in R. Chaos, Solitons & Fractals 9 9 (1998) 1631-1635
    • (1998) Chaos, Solitons & Fractals , vol.9 , Issue.9 , pp. 1631-1635
    • El Naschie, M.S.1
  • 55
    • 33745143148 scopus 로고    scopus 로고
    • Joyce D. Compact Manifolds with Special Halonomy. Oxford: 2000.
  • 56
    • 9544257297 scopus 로고    scopus 로고
    • On Einstein's supersymmetric tensor and the number of elementary particles of the standard model
    • El Naschie M.S. On Einstein's supersymmetric tensor and the number of elementary particles of the standard model. Chaos, Solitons & Fractals 3 (2005) 1521-1525
    • (2005) Chaos, Solitons & Fractals , vol.3 , pp. 1521-1525
    • El Naschie, M.S.1
  • 57
    • 4644250961 scopus 로고    scopus 로고
    • Determining the number of Higgs particles starting from general relativity and various other field theories
    • El Naschie M.S. Determining the number of Higgs particles starting from general relativity and various other field theories. Chaos, Solitons & Fractals 23 (2005) 711-726
    • (2005) Chaos, Solitons & Fractals , vol.23 , pp. 711-726
    • El Naschie, M.S.1
  • 58
    • 33645060744 scopus 로고    scopus 로고
    • E-infinity. Some recent results and new interpretations
    • El Naschie M.S. E-infinity. Some recent results and new interpretations. Chaos, Solitons & Fractals 29 4 (2006) 845-853
    • (2006) Chaos, Solitons & Fractals , vol.29 , Issue.4 , pp. 845-853
    • El Naschie, M.S.1
  • 59
    • 14944352357 scopus 로고    scopus 로고
    • The two-slit experiment as the foundation of E-infinity of high energy physics
    • El Naschie M.S. The two-slit experiment as the foundation of E-infinity of high energy physics. Chaos, Solitons & Fractals 25 (2005) 509-514
    • (2005) Chaos, Solitons & Fractals , vol.25 , pp. 509-514
    • El Naschie, M.S.1
  • 61
    • 4644293126 scopus 로고    scopus 로고
    • Local scale invariance, Cantorian spacetime and unified field theory
    • Goldfain E. Local scale invariance, Cantorian spacetime and unified field theory. Chaos, Solitons & Fractals 23 3 (2005) 701-710
    • (2005) Chaos, Solitons & Fractals , vol.23 , Issue.3 , pp. 701-710
    • Goldfain, E.1
  • 62
    • 9544238119 scopus 로고    scopus 로고
    • El Naschie's coherence on sub-quantum medium
    • Agop M., and Nica P. El Naschie's coherence on sub-quantum medium. Chaos, Solitons & Fractals 23 5 (2005) 1497-1510
    • (2005) Chaos, Solitons & Fractals , vol.23 , Issue.5 , pp. 1497-1510
    • Agop, M.1    Nica, P.2
  • 63
    • 4644231709 scopus 로고    scopus 로고
    • Wave guiding and mirroring effects in stochastic self-similar and Cantorian E-infinity universe
    • Iovane G. Wave guiding and mirroring effects in stochastic self-similar and Cantorian E-infinity universe. Chaos, Solitons & Fractals 23 3 (2005) 691-700
    • (2005) Chaos, Solitons & Fractals , vol.23 , Issue.3 , pp. 691-700
    • Iovane, G.1
  • 64
    • 9544244778 scopus 로고    scopus 로고
    • On an observer-related unequivalence between spatial dimension and generic Gremonian universe
    • Saniga M. On an observer-related unequivalence between spatial dimension and generic Gremonian universe. Chaos, Solitons & Fractals 23 5 (2005) 1935-1940
    • (2005) Chaos, Solitons & Fractals , vol.23 , Issue.5 , pp. 1935-1940
    • Saniga, M.1
  • 66
    • 1142304480 scopus 로고    scopus 로고
    • On Cantorian spacetime over number systems with division by zero
    • Czako J. On Cantorian spacetime over number systems with division by zero. Chaos, Solitons & Fractals 21 (2004) 1261-1271
    • (2004) Chaos, Solitons & Fractals , vol.21 , pp. 1261-1271
    • Czako, J.1
  • 67
    • 33745119269 scopus 로고    scopus 로고
    • Ji-Huan He and El Naschie MS. Transfinite physics. A collection of papers on E-infinity theory by El Naschie MS. Published by China Education and Culture Publishing Company, Shanghai 2006.
  • 68
    • 33646783648 scopus 로고    scopus 로고
    • Nonlinear operations on distributions and application to cosmology of very early universe
    • Nozari K. Nonlinear operations on distributions and application to cosmology of very early universe. Chaos, Solitons & Fractals 30 2 (2006) 290-299
    • (2006) Chaos, Solitons & Fractals , vol.30 , Issue.2 , pp. 290-299
    • Nozari, K.1
  • 69
    • 0043265234 scopus 로고    scopus 로고
    • On the dimension of micro spacetime
    • Al Athel S. On the dimension of micro spacetime. Chaos, Solitons & Fractals 7 6 (1996) 873-876
    • (1996) Chaos, Solitons & Fractals , vol.7 , Issue.6 , pp. 873-876
    • Al Athel, S.1
  • 70
    • 0003106082 scopus 로고    scopus 로고
    • A class of partially ordered sets
    • Hemion G. A class of partially ordered sets. Chaos, Solitons & Fractals 7 (1996) 795-819
    • (1996) Chaos, Solitons & Fractals , vol.7 , pp. 795-819
    • Hemion, G.1
  • 71
    • 0000810566 scopus 로고    scopus 로고
    • On El Naschie's complex time and gravitation
    • Argyris J., and Ciubotariu C. On El Naschie's complex time and gravitation. Chaos, Solitons & Fractals 8 5 (1997) 743-754
    • (1997) Chaos, Solitons & Fractals , vol.8 , Issue.5 , pp. 743-754
    • Argyris, J.1    Ciubotariu, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.