From classical to quantum, from physics to philosophy: Benjamin H. Feintzeig: The classical-quantum correspondence. Cambridge Elements in the philosophy of physics. Cambridge: Cambridge University Press, 2022, 97 pp, $22 PB.

"The Classical-Quantum Correspondence" by Benjamin H. Feintzeig is a comprehensive exploration of the classical-quantum correspondence using C* algebras and quantization theory. The book is aimed at researchers interested in the foundations of quantum physics and covers topics such as the 0-limit, classical-quantum structural continuity, and the interpretation of particle concepts in quantum field theories. It assumes a strong mathematical background but is a good starting point for those familiar with the algebraic approach to quantum theories. The book also applies the formal framework to philosophical considerations, including the reduction of classical to quantum physics and the explanation of classical physics using quantum physics. It discusses the concept of quantization theory, the interpretation of Planck's constant, and the continuity of structure in the transition from classical to quantum physics. The text concludes by discussing the heuristic role of quantization in constructing quantum theories and its potential implications for interpretative questions in quantum mechanics. [Extracted from the article]