From atomic to superstring scale in a braided Cantorian E∞ space

In the present note we show how to generate the length (energy) spectrum of the most dominant particles located between the classical microscale and the critical Planck scale. This is achieved here using two fundamental and several derived scaling exponents. These exponents are extracted from the basic geometrical structure of the zero-brane-like Cantorian E-(infinity) space and certain consistency requirements with regard to John's theory of knots and subfactors. (C) 2001 Elsevier Science Ltd. All rights reserved.