Space-time as a random heap

In this paper, we demonstrate how space-time is, rather than a differentiable manifold, a random heap, and how this ties up with fractal dimension 2 of a Quantum Mechanical path. In this light, we can see that there is a harmonious convergence between the stochastic approach of Nelson and the de Broglie-Bohm approach. These considerations are shown to lead to the emergence of special relativity and Quantum Mechanics. (C) 2000 Elsevier Science Ltd. All rights reserved.