University of Maribor, Faculty of Mechanical Engineering, Smetanova Ulica 17, SI-2000 Maribor, Slovenia
Accepted 4 September 2006. Available online 5 October 2006.
In a series of papers over the last few years El Naschie addressed the question of the minimum and maximum number of elementary particles which a mathematically consistent and a physically meaning full extended standard model should contain. El Naschie’s minimum is 62 particles namely 60 believed to have been already discovered in addition to one Higgs boson and one graviton which are theoretically needed but are not jet experimentally conformed. By contrast the maximum number of 69 particles is although consistent with many quantum field theories based models as well as a classical result by Dyson may not be the only possibility. In the present work we show that a larger number of 72 or even 84 particles are easily shown to be consistent with super string theory and super symmetry. Our work consists of two parts. The first part is a reappraisal of El Naschie’s results and the second is a derivation of the proposed possibility of an upper bound of 72 or 84 elementary particles.
Several people put in their two cents. Simon points the asker to El Naschie Watch. 4tnemele calls the paper "pure garbage". Mitchell Porter calls El Naschie's E-infinity theory "numerology". He must not know about this other paper by Marek-Crnjac: On the vital difference between number theory and numerology in physics, Chaos, Solitons & Fractals, Volume 38, Issue 5, December 2008, Pages 1239-1242.