Quantum field theory from first principles

Understand

If the systems of quantum theory are thought of as elementary information carriers in the first place, rather than elementary constituents of matter, and their connections are logical connections within a given algorithm, rather than space-time relations, then we need to find the origin of mechanical concepts---that characterise quantum mechanics as a theory of physical systems.

• To this end, we will illustrate how physical laws can be viewed as algorithms for the update of memory registers that make a physical system.
• Imposing the characteristic properties of physical laws to such an algorithm, i.e.
• homogeneity, reversibility and isotropy, we will show that the physical laws thus selected are particular algorithms known as cellular automata.