In this poster, we present a model of large extra dimensions where the internal space has the geometry of a hyperbolic disc. Compared with the ADD model, this model provides a more satisfactory solution to the hierarchy problem between the electroweak scale and the Planck scale, and it also avoids constraints from astrophysics. Since there is no known analytic form of the Kaluza–Klein spectrum for our choice of geometry, we obtain a spectrum based on a combination of approximations and numerical computations. We study the possible signatures of our model for hadron colliders, especially the LHC, where the most important processes are the production of a graviton together with a hadronic jet or a photon. We find that for the case of hadronic jet production, it is possible to obtain relatively strong signals, while for the case of photon production, this is much more difficult. 1.

Abstract 3

In this poster, we present a model of large extra dimensions where the internal space has the geometry of a hyperbolic disc. Compared with the ADD model, this model provides a more satisfactory solution to the hierarchy problem between the electroweak scale and the Planck scale, and it also avoids constraints from astrophysics. Since there is no known analytic form of the Kaluza–Klein spectrum for our choice of geometry, we obtain a spectrum based on a combination of approximations and numerical computations. We study the possible signatures of our model for hadron colliders, especially the LHC, where the most important processes are the production of a graviton together with a hadronic jet or a photon. We find that for the case of hadronic jet production, it is possible to obtain relatively strong signals, while for the case of photon production, this is much more difficult. 1.

The essay outlines the basic conceptual framework of a new space–time theory with application to high energy particles. I am afraid I will have to make a long story (which took many years of work) quite short with all of what this entails in reading it. The results of E infinity are at present contained in dozens of published papers too numerous to 2.1. General remarks picture is not accessible to mathematical formulation, let alone an exacting solution. The crucial step in E infinity formulation was to identify the stormy ocean with vacuum fluctuation and in turn to model this fluctuation using the mathematical tools of non-linear dynamics, complexity theory and chaos [1,8,9]. In particular the geometry of chaotic*Address: P.O. Box 272, Cobham, Surrey, UK.The main conceptual idea of my work (which is encoded in Figs. 1 and 5) is in fact a sweeping generalisation of what Einstein did in his general theory of relativity, namely introducing a new geometry for space–time which differs con-siderably from the space–time of our sensual experience. This space–time is taken for granted to be Euclidean. By contrast, general relativity persuaded us that the Euclidean 3+ 1 dimensional space–time is only an approximation and that the true geometry of the universe in the large, is in reality a four dimensional curved manifold. In E infinity we take a similar step and allege that space–time at quantum scales is far from being the smooth, flat and passive space which we use in classical physics [1–3]. On extremely small scales, at very high observational resolution equivalent to a very high energy, space–time resembles a stormy ocean [1]. The picture of a stormy ocean is very suggestive and may come truly close to what we think the high energy regime of the quantum world probably looks like (see Figs. 1–4). However such arefer to them all, but for the purpose of filling the gaps in the present summary, half a dozen papers which are men-tioned at the end may offer good help in overcoming the inevitable shortcomings in a condensed presentation (see Ref. [1–7]). 2. An outline of the conceptual framework of the theoryparticle physics. Both achievements and limitations are discussed with direct reference to the mass spectrum problem.