We show that effective masses in nonrelativistic quantum mechanics arise in a natural fashion from the Frieden and Soffer's Principle of Extremal Information (EPI) when the mean values of operators involving the momentum p̂ and exhibiting the form p̂f(x̂)p̂ are included as constraints. A...

It is well known that a suggestive relation exists that links the Schrödinger equation (SE) to the information-optimizing principle based on the Fisher information measure (FIM). We explore here an approach that will allow one to infer the optimal FIM compatible with a given amount of prior...

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...

In order to ascertain which are the essential requirements that allow for the application of MaxEnt techniques in connection with evolution problems, we study time-dependent probability distributions governed by a general, linear evolution equation that admits, as particular instances, 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...

Given a set of non-commuting operators Ô1,…,ÔN, and the assumed knowledge of the expectation values of a subset containing just M of them, we discuss, in quite general terms, what can be predicted about the behaviour of the expectation values of the remaining operators when the concomitant...

We focus attention on the particular thermodynamic relation dU=TdS+δW. Using information theory concepts we show that, for a reversible process in which intensive variables change, microscopic considerations related to this thermodynamic relation make the informational contents of,...

By considering a simple thermodynamic system, in thermal equilibrium at a temperature T and in the presence of an external parameter A, we focus our attention on the particular thermodynamic (macroscopic) relation dU=TdS+δW. Using standard axioms from information theory and the fact that the...

In this work, a method based on information theory is developed to make predictions from a sample of nonlinear time series data. Numerical examples are given to illustrate the effectiveness of the proposed method.

Thermodynamics’ first law (TFL), although undoubtedly true because of its many verified consequences, rests on a rather weak experimental foundation in the sense that, as pointed out by Pippard, its path-independent aspect cannot be said to have been directly verified. From the theoretical...