Evolution-in-materio computations: Hierarchies rising from electron dynamics in carbon nanotubes

Previously, Evolution-In-Materio (EIM), an unconventional computing paradigm, was addressed as a computing system which exhibits dynamical hierarchies. For different conceptual domains identified within an EIM system, a corresponding hierarchical level was defined by the state space description in the form of a set of states and the pertaining transition function. Entropic relations established between such system descriptions show that one hyperdescribes another in an information theoretical sense. In this extended abstract we report on those findings and on the ongoing work in which the proof for the necessary entropic relations between the level of material physics and the level of measurements is revisited and supported by simulations of the addressed physical phenomenon