Statistical mechanics of multi-dimensional Cantor sets, Gödel theorem and quantum spacetime MS El Naschie - Journal of the Franklin Institute, 1993 - Elsevier ... Oxford University Press, New York (1987). (9); K. Huang; Statistical Mechanics. ... G. Meyer-Kress (Ed.), Dimensions and Entropies in Chaotic Systems, Springer, Berlin (1988), pp. 158–170. (17); I. Stewart; ... (19); MS El Naschie; Gödel, Cantor and modern nonlinear dynamics. Proc. Int ... Cited by 42 Related articles All 3 versions Cite Saved Einstein in a complex time-some very personal thoughts about Ε-infinity theory and modern physics MS El Naschie - 2005 - degruyter ... exemplify this imaginative science in the realm of abstract mathematics are probably Georg Cantor as well as K. Gödel. ... developed by courageous pioneers, people like M. Green, J. Shwarz, E. Witten, D. Finkelstein, G. t Hoofit, L. Smolin, G. Ord, L. Nottale, G. Sidharth, R ... Cited by 23 Related articles All 3 versions Cite Saved On certain “empty” Cantor sets and their dimensions MS El Naschie - Chaos, Solitons & Fractals, 1994 - Elsevier ... not always completely unfeasible as amply demonstrated by Cantor and Goedel [8], then ... Cantorian geometry. This is obviously related to K, Mengers probabilistic geometry as a ... 3. M. Weber, Stochastic processes and covering procedures, in Fructals, edited by G. Cherbit, pp. ... Cited by 23 Related articles All 4 versions Cite Saved From experimental quantum optics to quantum gravity via a fuzzy Kähler manifold MS El Naschie - Chaos, Solitons & Fractals, 2005 - Elsevier ... a mathematical formalism which leads to a transfinite “fuzzy” Kähler-like manifold akin to the K 3 manifold of ... Now we invoke Gödels indecidability theorem [19] and [20] and require that the total probability in both ... and ϕ 3 = 1/(4 + ϕ 3 ) is the probability of finding a Cantor point in ... Cited by 69 Related articles All 5 versions Cite Saved t Hooft ultimate building blocks and space–time as an infinite dimensional set of transfinite discrete points MS El Naschie - Chaos, Solitons & Fractals, 2005 - Elsevier ... Thus the fundamental dilemma has been resolved with unheard of elegance due to the work of G. Cantor but also many others, for instance C. Gödel, F. Hausdorff, G. Peano, K. Weierstrasse and H. von Koch to mention only a few of the principal actors in the drama of ... Cited by 13 Related articles All 5 versions Cite Saved A note on quantum mechanics, diffusional interference and informions MS El Naschie - Chaos, Solitons & Fractals, 1995 - Elsevier ... 14. MO Scully, K. Drühl; Quantum eraser. Phys. ... MS El Naschie; Multidimensional Cantor sets, Gödel theorem and quantum space-time. J. Franklin Inst., 330 (1) (1993), pp. ... MO Scully, B.-G. Englert, H. Walter; Quantum optical test of complimentarity. Nature, 351 (6322) (1991), pp. ... Cited by 56 Related articles All 6 versions Cite Saved Non-Euclidean spacetime structure and the two-slit experiment MS El Naschie - Chaos, Solitons & Fractals, 2005 - Elsevier ... 5. Conclusion. A mathematical resolution of the quintessence of the wave-particle duality is presented which attributes the phenomenon to a physical undecidability theorem related to the Gödel undecidability connected to the very structure of spacetime. ... [2]; K. Svozil; ... 9]; G. Ord; ... Cited by 59 Related articles All 5 versions Cite Saved Gödel universe, dualities and high energy particles in< i> E-infinity MS El Naschie - Chaos, Solitons & Fractals, 2005 - Elsevier ... Seen that way, it is not strange to contemplate the significance of Gödels universe for quantum gravity ... α ¯ G = ( 2 ) 128 - 1 = ( 2 ) 127. It was shown else where that D may be interpreted ... us start by recalling some well established facts about Heterotic string theory and K 3 manifold ... Cited by 16 Related articles All 4 versions Cite Saved [PDF] from msel-naschie [PDF] Quantum collapse of wave interference pattern in the two-slit experiment: A set theoretical resolution MS El Naschie - In other words, 2004 - msel-naschie ... As step number ten one needs to read some of K. Gödel (1930) and P. Cohen (1963) works on the continuum hypothesis. ... [10] G. Iovane: From ... [16] R. Coldea, DA Tennant, EM Habicht, P. Smeibidl, K. Kiefer: Golden ratio discovered in a quantum world (2010), Vol. 327, No. ... Cited by 10 Related articles All 3 versions Cite Saved More On certain infinite dimensional Cantor sets and the Schrödinger wave MS El Naschie - Chaos, Solitons & Fractals, 1993 - Elsevier ... by @j/K, = [n (In l/di))]( 1 + $(1/n)). ... Consequently (do) must be ( dC2) = x” + 1 g 1.555 c and therefore (dp) = 1/(df2)) = 0.64285 and (d) = 4.35551 ... 2. MS El Naschie, Statistical mechanics of multidimensional Cantor sets, Goedel theorem and quantum ... Cited by 18 Related articles All 4 versions Cite Saved Create alert

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