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"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]

Programs in quantum gravity often claim that time emerges from fundamentally timeless physics. In the semiclassical time program, time arises only after approximations are taken. Here we ask what justifies taking these approximations and show that time seems to sneak in when answering this question. This raises the worry that the approach is either unjustified or circular in deriving time from no-time. [ABSTRACT FROM AUTHOR]

Conventional wisdom holds that the von Neumann entropy corresponds to thermodynamic entropy, but Meir Hemmo and Orly Shenker have recently argued against this view by attacking von Neumann's argument. I argue that Hemmo and Shenker's arguments fail because of several misunderstandings about statistical-mechanical and thermodynamic domains of applicability, about the nature of mixed states, and about the role of approximations in physics. As a result, their arguments fail in all cases: in the single-particle case, the finite-particles case, and the infinite-particles case. [ABSTRACT FROM AUTHOR]