There are three interwoven themes in this book. First, a history of quantum mechanics. Second, a description of a set of experiments with fluids which lead to a hydrodynamic quantum analogue (HQA). Thirdly, a description and critique of the many interpretations of quantum mechanics and the debate about whether there is or is not a more fundamental theory. Is quantum mechanics a statistical approximation of an underlying classical theory just as thermodynamics is a statistical approximation of classical mechanics? The dominant view, the Copenhagen Interpretation of Bohr et al, is that QM is complete. The opposing view, of Einstein and others, is that it is not.The history is first class. Kay presents detail that I have not come across in many other accounts and his the quality of his research into primary sources is exceptional. His exposition of Bohr’s work, de Broglie’s insights, Einstein’s comments, Bohm’s approach, etc. etc. is most illuminating.I can’t be enthusiastic about HQA. It may well be a useful classical model of a pilot wave (Bohmian) theory of QM. It may be sufficiently intriguing to catch the attention of professional physicists, in which case it has served a useful purpose.The critique of interpretations such as Copenhagen, many worlds, Heisenberg’s approach, is clearly heartfelt but remains, for the most part, objective. It is devastating. What is most unexpected is his questioning of the probability methods which provide the basis for Bell’s theorem and the refutation of hidden value theories. If he is correct then all bets are off and Einstein’s intuition may yet be shown to be right.The book is long, often repetitive, and not a casual read. Nevertheless it does deserve attention.