On the shape of natural information: a unified  framework from dynamical systems

The intrinsic information of a given physical system refers to the structure, state, and dynamics inherent to the system. Our aim is to show that this type of information possesses structure and can be accurately described geometrically, as it generates genuine information fields that effectively explain the observed relationships and the dynamics of natural phenomena. Since intrinsic information is universal, its description as a mathematical information field also is. Moreover, thischaracterization of intrinsic information allows for a scientificapproach of its properties, measurements, analysisof perturbations, transient and asymptotic dynamicsin order to explain phenomena in different areas. We consider the value of this approach as a step forwards in foundation of new perspectives in science. Thus, the value of this work is not mainly technical, but of a new in-depth look at the reality that science deals with every day in multiple areas.