Superstrings, entropy and the elementary particles content of the standard model

A number of interconnected issues involving superstring theory, entropy and the particle content of the standard model of high energy physics are discussed in the present work. It is found that within a non-transfinite approximation, the number of elementary particles is given by Dim SU(8) in full agreement with the prediction gained from dividing the total number of the massless level of Heterotic string theory (256)(16) = 8064 by the spin representation 2(7) = 128 which gives Dim SU(8) = (8)(2) - 1 = (8064)/(128) = 63 particles. For the exact transfinite case however, one finds our previously established E-infinity result: N = (336 + 16k) (3/2 + k)(16 + k)/(128 + 8k) = (alpha) over bar (o)/2, where k = phi(3)(1 - phi(3)), phi = (root 5 - 1)/2 and (alpha) over bar (o)/2 = 68.54101965. Setting k = 0 one finds that n = 63 exactly as in the non-transfinite case. (c) 2005 Elsevier Ltd. All rights reserved.