Towards a geometrical theory for the unification of all fundamental forces

Strongly localized ripples created initially by violent fluctuation in the geometry of space-time are interpreted within the Cantorian E-(infinity) theory as possible Boson elementary particles. These wave-particle "fluction" is predicted to have a Compton wavelength of the order of 10(-21) cm less than or equal to lambda(c,f) less than or equal to 10-(22) cm and a rest mass in the region of (10(7)) Gev less than or equal to m(f) less than or equal to (10(8)) Gev. Consequently this particle represents an intermediate particle at a length scale between lambda(c,W) similar to 10(-16) cm of SU(2) x U(1) and lambda(c,G) similar to 10(-28) of GUT. This tentative conclusion is found to be consistent with cosmological and entropy considerations of the universe at certain ages as well as the possible fractal nature of the inner structure of baryons and leptons. O 2000 Elsevier Science Ltd. All rights reserved.