Computational mechanics quantifies structure in a stochastic process via its causal states, leading to the process’s minimal, optimal predictor—the -machine. We extend computational mechanics to communication channels coupling two processes, obtaining an analogous optimal model—the -transducer—of the stochastic mapping between them. Here, we lay the foundation of a structural analysis of commun...

In lecture 8 we have formulated the condition of static equilibrium of bodies and structures by studying a small change (variation) of the total potential energy. The system was said to be in equilibrium if the first variation of the total potential energy vanishes. The analysis did not say anything about the stability of equilibrium. The present lecture will give an answer to that question by ...

An investigation is made into how the foundations of statistical mechanics are affected once we treat classical mechanics as an approximation to quantum mechanics in certain domains rather than as a theory in its own right; this is necessary if we are to understand statistical-mechanical systems in our own world. Relevant structural and dynamical differences are identified between classical and...

This letter briefly gives an overview of the theory proposed in quant-ph/9906130 and quant-ph/9909025 on the basis of quantum mechanics. Although quantum mechanics in twentieth century has succeeded to predict the correct results of large numbers of experiments in the process to find new fundamental particles in the nature, it seems to have left some fundamental open problems, both structural a...

In this paper we argue that quantum mechanics provides a genuine kind of structural explanations of quantum phenomena. Since structural explanations only rely on the formal properties of the theory, they have the advantage of being independent of interpretative questions. As such, they can be used to claim that, even in the current absence of one agreed-upon interpretation, quantum mechanics is...