As a part of the so-called Wheeler program, we present an information theoretic treatment for phase space distributions.

By recourse to information-theory tools, we study aspects of the dynamics of the interaction between a single trapped ion with a laser field. Despite its simplicity the model we use exhibits a broad range of intricate physical effects that are clearly detected by information quantifiers like...

Escort distributions are a well established but (for physicists) a relatively new concept that is rapidly gaining wide acceptance in world. In this work we wish to revisit the concept within the strictures of the celebrated semiclassical Husimi distributions (HDs) and thereby investigate the...

We show, starting from first principles, that thermodynamics’ first law can be microscopically obtained for Fisher's information measure without need of invoking the adiabatic theorem. Further, it is proved that enforcing the Fisher-first law requirements in a process in which the probability...

We present a thermodynamic formulation for scale-invariant systems based on the minimization with constraints of the Fisher information measure. In such a way a clear analogy between these systems’ thermal properties and those of gases and fluids is seen to emerge in a natural fashion. We...

We show how the demon of Frieden and Soffer, working in a nonextensive statistical scenario, is able to devise solutions to some of Einstein’s field equations by recourse to nonlocal changes of variables between appropriate differential equations. It is seen that a variety of cosmological...

By recourse to (i) the Hellmann–Feynman theorem and (ii) the virial one, the information-optimizing principle based on Fisher’s information measure uncovers a Legendre-transform structure associated with Schrödinger’s equation, in close analogy with the structure that lies behind the...

We investigate the classical limit of the dynamics of a semiclassical system that represents the interaction between matter and a given field. The concept of Fisher Information measure (F) on using as a quantifier of the process, we find that it adequately describes the transition, detecting the...

We study nonextensive statistical scenarios à la Tsallis with reference to Fisher’s information and Rènyi’s entropy. A new way of evaluating Tsallis’ generalized expectation values is examined within such a context, and is shown to lead to a much better Cramer–Rao bound than the...

Given a closed system described via an amplitude function ψ(x), what is its level of order? We consider here a quantity R defined by the property that it decreases (or stays constant) after the system is coarse grained. It was recently found that (i) this quantity exhibits a series of...