Kleinian groups in E(∞) and their connection to particle physics and cosmology

The paper proposes that the geometry and topology of quantum spacetime is shadowed closely by quasi-Fuschian and Kleinian groups and that is the cause behind the phenomena of high energy particle physics. In addition, on the large scale measurement of, for instance, microwave background temperature, the universality of the Merger sponge provides an excellent limit set model for the Charlier-Zeldovich proposal of the fracticality of the universe and the accurate estimate T-c = (ln20/ln3) = 2.726 K. Finally the golden mean and KAM ensure global stability against Arnold-like diffusion. (C) 2002 Elsevier Science Ltd. All rights reserved.