El Naschie's ε(∞) space-time, hydrodynamic model of scale relativity theory and some applications

Chaos, Solitons and Fractals

Volumn 34, Issue 5, 2007, Pages 1704-1723

  Agop, M ^a,b   Nica, P ^a,b   Ioannou, P D ^a   Malandraki, Olga ^a   Gavanas Pahomi, I ^b  

^a UNIVERSITY OF ATHENS   (Greece)

^b GHEORGHE ASACHI TECHNICAL UNIVERSITY OF IASI   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

GALAXIES; GRAVITATIONAL EFFECTS; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; SCHRODINGER EQUATION; THEOREM PROVING; WAVE FUNCTIONS;

GRAVITATIONAL MORPHOGENESIS; HYDRODYNAMIC MODELS; SCALE RELATIVITY THEORY; SPEED POTENTIAL;

RELATIVITY;

EID: 34250223039     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.05.014     Document Type: Article

References (36)

1. Nelson E. Quantum fluctuations (1985), Princeton University Press, Princeton
2. Schrödinger E. Collected papers on wave mechanics (1928), W.M. Deans, London
3. Green H.S. Matrix mechanics (1965), Noordhoff, Groningen
4. Feynman R.P., and Hibbs A.R. Quantum mechanics and path integrals (1965), McGraw-Hill, New York
5. Halbwachs F. Theorie relativiste des fluids a spin (1960), Gauthier-Villars, Paris
6. Titeica S. Quantum mechanics (1984), Academic Press, Bucharest
7. Nottale L. Fractal space-time and microphysics: towards a theory of scale relativity (1993), World Scientific, Singapore
8. El Naschie M.S., Rösler O.E., and Prigogine I. Quantum mechanics diffusion and chaotic fractals (1995), Elsevier, Oxford
9. El Naschie M.S. From experimental quantum optics to quantum gravity via a fuzzy Kähler manifold. Chaos, Solitons & Fractals 25 (2005) 969-977
10. El Naschie M.S. Hilbert, Fock and Cantorian spaces in the quantum two-slit gedanken experiment. Chaos, Solitons & Fractals 27 (2006) 39-42
11. El Naschie M.S. Hilbert space, the number of Higgs particles and the quantum two-slit experiment. Chaos, Solitons & Fractals 27 (2006) 9-13
12. El Naschie M.S. Non-Euclidian space-time structure and the two-slit experiment. Chaos, Solitons & Fractals 26 (2005) 1-6
13. El Naschie M.S. A new solution for the two-slit experiment. Chaos, Solitons & Fractals 25 (2005) 935-939
14. El Naschie M.S. On a fuzzy Kähler-like manifold which is consistent with the two-slit experiment. Int J Nonl Sci Numer Simul 6 2 (2005) 95-98
15. El Naschie M.S. The idealized quantum two-slit gedanken experiment revised - criticism and reinterpretation. Chaos, Solitons & Fractals 27 (2005) 843-849
16. Madelbrot B. The fractal geometry of nature (1982), Freeman, San Francisco
17. (∞) theory and the mass spectrum of high energy particle physics. Chaos, Solitons & Fractals 19 (2004) 209-236
18. g) = 26.180339 MeV. Chaos, Solitons & Fractals 20 (2004) 649-652
19. Chaichian M., and Nelipa N.F. Introduction to gauge field theories (1984), Springer, Berlin, Heidelberg, New York, Tokyo
20. Bowman F. Introduction to elliptic functions with applications (1953), English University Press, London
21. Agnese A.G., and Festa R. Clues to discretization on the cosmic scale. Phys Lett A 227 (1997) 165-171
22. Nottale L., Schumacher G., and Lefèvre E.T. Scale relativity and quantization of exoplanet orbital semi-major axis. Astron Astrophys 361 (2000) 379-387
23. Tifft W.G., and Cocke W.J. Astrophys J 287 (1984) 492
24. Agop M., Matsuzawa H., Oprea I., Vlad R., Sandu C., and Buzea C.Gh. Austr J Phys 53 (1999) 217
25. Feynman R.P., and Hibbs A.R. Quantum mechanics and path integrals (1965), McGraw-Hill, New York
26. Mayor M., and Queloz D. Nature 378 (1995) 355
27. Landolt-Börnstein. Handbook VI/2C. 9.2. Internal structure and dynamics of galaxies (1982), Springer, Berlin
28. Tifft W.G. Astrophys J 211 (1977) 31
29. Tifft W.G. Astrophys J 236 (1980) 70
30. Tifft W.G. Astrophys J 257 (1982) 442
31. Schneider S.E., and Salpeter E.E. Astrophys J 385 (1992) 32
32. Cocke W.J. Astrophys J 393 (1992) 59
33. Guthrie B.N., and Napier W.M. Mon Not R Astron Soc 253 (1991) 533
34. Wilhelm H.E. Phys Rev D 1 (1969) 2278
35. Dersarkissian M. Lett Il Nuovo Cimento 40 (1984) 390
36. Weinberg S. Gravitation and cosmology (1973), Wiley, New York