Search Advanced Search Keywords (6) Fine Structure Constant Gamma Function Group Theory hausdorff dimension Symmetry Group Space Time Subscribe AcademicPublicationsFrom pointillism to E-infinity electromagnetism Edit Paper From pointillism to E-infinity electromagnetism (Citations: 10) M. S. El Naschie Pretty much like in a pointillism masterpiece of say Georges Seurat or Paul Signac, quantum space-time, which is in reality a collection of transfinite discrete set of points, appears when observed at a distance to be a nowhere disjoined continuum. This geometry which is best described by its Hausdorff dimension leads us ultimately to a radical change of some of our most basic mathematical assumptions with regard to the corresponding symmetry groups. Thus instead of being restricted to an integer value of the order of these symmetry groups, it seems natural to extend this order to the realm of irrational transfinite numbers. This step is not as strange as it may seem when we consider the role played by the factorial function n! in elementary group theory and its extension for non-integer value of n using the well-known Gauss’ Gamma function.Proceeding in this way, we find that the space-time of E-infinity theory constitutes a transfinite pointillism setting in which all fundamental interactions could be accounted for via the corresponding transfinite order of its symmetry groups and finally we find a conservation equation from which the exact inverse fine structure constant α¯o may be accurately determined. Journal: Chaos Solitons & Fractals - CHAOS SOLITON FRACTAL , vol. 34, no. 5, pp. 1377-1381, 2007 DOI: 10.1016/j.chaos.2007.02.016 View Publication
Posted on: Wed, 14 Jan 2015 23:19:54 +0000
Trending Topics
Recently Viewed Topics
© 2015