We present a theory of qualitative rigid body mechanics and describe a program that uses this theory to compute qualitative dynamic simulations. The program works directly from a qualitative representation of geometry (qc-space). It employs a new qualitative representation for forces that reduces ambiguity in force sums and hence reduces branching.

The Kaluza-Klein idea of extra spacetime dimensions continues to pervade current attempts to unify the fundamental forces, but in ways somewhat different from that originally envisaged. We present a modern perspective on the role of internal dimensions in physics, focussing in particular on su-perstring theory. A novel result is the interpretation of Kaluza-Klein string states as extreme black ...

The purpose of this paper is to compute of fundamental relations of hypergroups. In this regards first we study some basic properties of fundamental relation of hypergroups, then we show that any given group is isomorphic to the fundamental group of a nontrivial hypergroup. Finally we study the connections between categories of hypergroups and groups via the fundam...

which we call the fundamental domain. By previous results, this set also (essentially) represents equivalence classes of complex elliptic curves under isomorphism (τ ∈ D ↔ C/Λτ ). Lemma 1.1. The map π : D → Y (1) is a surjection, where π is the obvious projection π(τ) = SL2(Z)τ . Proof. This lemma states that D generates all of H under the action of SL2(Z); that is, it suffices to show that eve...

This is the written version of a short talk given at the University of Leipzig in December 1998. It reviews some general aspects of string theory from the viewpoint of the search for an unifying theory. Here, special emphasis lies on the motivation to consider string theory not only as the leading candidate for the unification of gravity and the other fundamental forces of nature, but also as a...

A novel approach to problem-structuring for decisions relating to the sustainable development of large-scale infrastructure is presented. The philosophical (a critical realist ontology and epistemology), psychological (implications of behavioural and cognitive psychology), and systems dimensions (dynamics and emergent properties) of the problem are discussed, and form the basis of the approach....

In this paper, we propose a design method of wholebody tactile interface for elevating human-robot coordination. The proposed surface cover sensor as the tactile interface enables robots to detect accurate 3-D force vector applied on various parts of the body during physical interaction with

I use spin as a guide through the labyrinth of possibilities and ideas that go beyond the established understanding of the fundamental interactions.