13th March, 2011

E-infinity Communication No. 80

Small world E-infinity spacetime, Facebook and who wrote more papers, Mohamed El Naschie or Paul Erdös?

Maybe rightly or wrongly the uprisings sweeping the Arab countries and the Middle East including Mohamed El Naschie’s beloved homeland Egypt is attributed to social network sites such as Facebook and Twitter. We were not really fully aware of the possible connections between E-infinity, small world social networks and even less that Mohamed El Naschie had written any papers on this subject. Quite honestly we were mildly surprised when we became aware of several articles which he wrote on the subject in his daily column in the semi official Egyptian newspaper Rose Al Yusuf. Upon translating these articles into English we realized that he and some of his students published several papers in Chaos, Solitons & Fractals and elsewhere on the small world theory and its connection to super string theory and his E-infinity Cantorian spacetime. For more details the reader is referred to two papers:

1. N. Ahmed: Cantorian small world, Mach’s principle and the universal mass network. Chaos, Solitons & Fractals, 21 (2004), pp. 773-782.

2. M.S. El Naschie: Small world network, E-infinity topology and the mass spectrum of high energy particle physics. Chaos, Solitons & Fractals, 19 (2004), pp. 689-697.

The fact that although we worked rather closely with Mohamed El Naschie and are part of his group and yet were unaware about his paper prompted some of us to ask how many papers did El Naschie author and on how many subjects? The honest answer is that we still do not know and when we asked him it was clear that he does not know either and furthermore, does not care. A wild guess is that it is in the region of one thousand and some of us recall having seen that written by someone. Initially we thought that given his age, this must be a world record. However it was not long before we realized that among real scientists of international status in mathematics and physics, the record holder is a man admired by El Naschie, namely Paul Erdös with more than one thousand four hundred papers mostly with co-authors. Needless to say the number of papers nor the number of pages of written papers is no indication of any quality or excellence. It is ridiculous that some agencies use such trivial indexes to evaluate scientists.

Let us conclude this short communication by mentioning the most important common thing between small world and El Naschie’s Cantorian world. Similar to all quantum network approaches to quantum physics both theories are based on a network. However in E-infinity it is a self similar network on all scales and is thus a transfinite network. Second a true small world network is neither orderly nor disorderly. It is in between. This is exactly the KAM deterministic chaotic geometry of El Naschie’s E-infinity theory.

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