Abstract

This is a paper about geometry and how one can derive several fundamental laws of physics from a simple postulate of geometrical nature. The method uses monogenic functions analysed in the algebra of 5-dimensional spacetime, exploring the 4-dimensional waves that they generate. With this method one is able to arrive at equations of relativistic dynamics, quantum mechanics and electromagnetism. Fields as disparate as cosmology and particle physics will be influenced by this approach in a way that the paper only suggests. The paper provides an introduction to a formalism which shows prospects of one day leading to a theory of everything and suggests several areas of future development.