A Unified Approach to Informational Entropies via Minkowskian Observation

Abstract

By using very simple axioms related to information, the phenomenon of interaction between the observer and the observable can be described by means of the so-called Lorentz-Poincaré equations. This result applies to any class of observables provided that the relevant axioms are physically meaningful. One then assumes that the observable is the Hartley’s uncertainty (—ln p _i ),and one assumes that the informational entropy of the experiment is the mathematical expectation of the Hartley entropy so as to derive a broad class of relative entropies which furthermore provide a unified approach to results that have been given previously in the literature.