Four as the expectation value of the set of all positive integers and the geometry of four manifolds

Chaos, Solitons and Fractals

Volumn 9, Issue 9, 1998, Pages 1625-1629

  El Naschie, M S ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

SET THEORY; TOPOLOGY;

EXPECTATION VALUE; FOUR MANIFOLDS GEOMETRY;

FRACTALS;

EID: 0032154353     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(98)00128-3     Document Type: Article

References (8)

1. Kinney, J. J., Probability, John Wiley, New York, 1997.
2. Pisot, C., Repartition (mod 1) des Puissance successives des nombres réels. Commtentarii Mathematics Helvetici, 1946, 19, 153-160.
3. El Naschie, M. S., On the uncertainty of Cantorian Geometry and the two slit experiment. Chaos, Solitons & Fractals, 1998, 9(3), 517-529.
4. Donaldson, S. K. and Kronheimer, P. B., The geometry of four manifolds, Oxford Press, 1997.
5. Connes, A., Noncommutative Geometry, Academic Press, New York, 1998.
6. El Naschie, M. S., COBE satellite measurement, hyperspheres, superstrings and the dimension of spacetime, Chaos, Solitons & Fractals, 1998, 9, 1445-1471.
7. El Naschie, M. S., Penrose universe and Cantorian spacetime as a model for noncommutative quantum geometry. Chaos, Solitons & Fractals, 1998, 9, 931-933.
8. El Naschie, M. S., A note on Penrose-McKay quasiperiodic tiling and Herzbruch signature in ℰ(∞) space. Chaos, Solitons & Fractals, (to be published).