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Algebraic Dynamical Systems: A general framework for the description of physical systems

by Peter Bongaarts

A shared mathematical framework for physical systems

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AlbakiReads Editorial

A shared mathematical framework for physical systems

Peter Bongaarts presents a formalism for describing classical and quantum physical systems side by side. The book frames this approach as mathematically equivalent to standard descriptions while making comparison between the two types of systems more direct. It also discusses applications of the framework, including its possible relevance to interpreting quantum theory. The description notes that the book treats the formalism and selected applications, while a fuller treatment of its claims about existing interpretations is reserved for a future publication.

Good fit for readers who enjoy

  • Readers studying mathematical or theoretical physics, especially classical and quantum systems.
  • Readers interested in formal frameworks for comparing physical theories and their applications.

Themes

Mathematical physicsClassical and quantum systemsComparative formalismsInterpretations of quantum theory

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Book overview

This book describes a formalism to describe simultaneously and side by side classical and quantum physical systems. It is mathematically completely equivalent to the standard description, but it makes it more easy to compare the two type of systems. It is attractive because it unifies different systems, but it has also interesting applications, some of which are discussed in this book.There is a very important application, namely to the interpretation of quantum theory, a subject on which an enormous literature exists. With this formalism it can be rigorously shown that most of this literature is erroneous, or irrelevant, at best. This will be treated in a future publication. Peter Bongaarts taught for 35 years theoretical and mathematical physics at the University of Leiden. In 2015 he published "Quantum Theory. A Mathematical Approach".
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