Elementary Informational Structures of Particle Physics and their Relation to Quantum Mechanics and Space-Time

Abstract

Bohr's dictum "Physical phenomena are observed relative to different experimental setups" is applied to a set of binary elements that represent the smallest units of information. A description relative to "macroscopic" setups of such elements is formulated. This requires the introduction of a Hilbert space formalism. It is shown, that the Hilbert space is symmetric with respect to the de Sitter group SO(3,2). For macroscopic setups SO(3,2) is approximated by the Poincare group. A space-time manifold is obtained that expresses the orientation of macroscopic setups relative to each other. Individual binary elements can then be given a "position" relative to macroscopic reference frames. To an observer binary elements will then exhibit properties of massive particles. This informational approach to particle physics determines a mass scale, delivers interaction terms for all four interactions and is, in principle, capable of fixing coupling constants and masses. Despite its simplicity it forms a promising basis for a theoretical model that leads beyond the standard model.