Chaos and fractals in nano and quantum technology

Chaos, Solitons and Fractals

Volumn 9, Issue 10, 1998, Pages 1793-1802

  El Naschie, M S ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; COMPUTER SIMULATION; FRACTALS; GEOMETRY; LASER THEORY; NANOTECHNOLOGY; QUANTUM THEORY; SET THEORY;

CANTORIAN SPACETIME; HAUSDORFF DIMENSION; POLITICAL SCIENCES;

DYNAMICS;

EID: 0032182443     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (31)

1. River, R. J., Path Integral Methods in Quantum Field Theory. Cambridge Press, 1987.
2. El Naschie, M. S., Nottale, L., Al Athel, S., Ord, G., Fractal spacetime and Cantorian Geometry in Quantum Mechanics. Chaos, Solitons and Fractals, 1996, 7(6), January.
3. El Naschie, M. S., Rössler, O. E. and Prigogine, I., Quantum Mechanics, Diffusion and Chaotic Fractals. Elsevier Oxford, 1995.
4. Ord, G., Conrad, M., Rössler, O. E., El Naschie, M. S., Nonlinear Dynamics, General Relativity and the Quantum. Chaos, Solitons and Fractals, 1997, 8(5), May.
5. El Naschie, M. S., Rössler, O. E., Ord, G., Chaos, Information and Diffusion in Quantum Physics. Chaos, Solitons and Fractals, 1996, 7(5), May.
6. Nagasawa, M., El Naschie, M. S., Relativity, Locality and Random Fractals. Quantum Theory, 1997, 8(11), November.
7. Takens, F., Lecture Notes in Math. 898. Springer, Heidelberg, 1981.
8. Packard, N., Crutchfield, N., Farmer, J. P., Shaw, J. D., Geometry from a time series. Phys. Rev. Lett., 1980, 45, 712.
9. Schuster, H., Deterministic Chaos. VCH Verlag-Weinheim, 1989.
10. Rössler, O. E., Endophysik. Merve Verlag, Berlin, 1992.
11. Berry, M. V., Proceedings of the Royal Society of London, Series A, vol. 392, No. 1802, 1984, pp. 45-57.
12. Nakamura, K., El Naschie, M. S., Chaos and Quantum Transport in Mesoscopic Cosmos. Chaos, Solitons and Fractals, 1997, 8(7/8).
13. Tycko, R., Geometry of probabilities confirmed. Physics World, September, 33-34, 1991.
14. Cohen-Tannoudji, C., Phillips, W., New Mechanics for Laser Cooling. Physics Today, 1990, 33(1), 33.
15. Chu, S., Laser trapping of neutral particles. Scientific American, February, 40-54, 1992.
16. Milburn, G., Quantum Technology. Allen & Unwin, St. Leonard, 1996.
17. Donko, Z., Zalai, L. S., Chaotic current oscillation with Broadband L/f spectrum in a glow discharge plasma. Chaos, Solitons & Fractals, 1966, 7(5), 777-783.
18. von Baeyer, H., Taming the Atom. Penguin, London 1994.
19. Donaldson, S. K., and Kronheimer, P. B., The Geometry of Four-manifolds. Oxford Science Publication, Oxford, 1997.
20. Freedman, M. H. and Quinn, F., Topology of 4-Manifolds. Princeton Press, Princeton, 1990.
21. Scully, M. O. and Zubairy, M. S., Quantum Optics, Cambridge University Press, 1997.
22. Conway, J. H. and Guy, R. K., The Book of Numbers. Springer, New York, 1996.
23. Campensino-Romeo, E., D'Olivio, J. C., Sokolovsky, M.. Phys. Rev. Lett A., 1982, 89, 321.
24. Kroeger, H., Generalized Aharonov-Bohm effect, homotopy classes and Hausdorff dimensia. Physics Letter A., 1997, 226, 127-134.
25. El Naschie, M. S., Branching Polymers and the fractal-Cantorian spacetime. Chaos, Solitons & Fractals., 1998, 9(2), 135-141.
26. El Naschie, M. S., Some tentative proposals for the experimental verification of Cantorian micro spacetime. Chaos, Solitons & Fractals, 1998, 9(1-2), 143-144.
27. Crandel, B. C. and Lewis, J., Nanotechnology. The MIT Press, Cambridge, Mass., 1992.
28. Ball, P., Designing the Molecular Future. Princeton University Press, New Jersey, 1994.
29. El Naschie, M. S., On the uncertainty of Cantorian geometry and the two-slit experiment. Chaos, Solitons & Fractals, 1998, 9, 517-529.
30. Ord, G., Nottale, L. and El Naschie, M. S., The impact of nonlinear dynamics and fractals on quantum physics and relativity. Chaos, Solitons and Fractals, 1998, 9(7).
31. El Naschie, M. S., COBE satellite movement. Chaos, Solitons and Fractals, 1998, 9, 1445-1471.