This book studies the foundations of quantum theory through its relationship to classical physics This idea goes back to the Copenhagen Interpretation (in the original version due to Bohr & Heisenberg) which the author relates to the mathematical formalism of operator algebras originally created by von Neumann The book therefore
Includes:: comprehensive appendices on functional analysis & C-algebras as well as a briefer one on logic category theory & topos theory Matters of foundational as well as mathematical interest that are covered in detail include symmetry (and its "spontaneous" breaking) the measurement problem the Kochen-Specker Free Will & Bell Theorems the Kadison-Singer conjecture quantization indistinguishable particles the quantum theory of large systems & quantum logic the latter in connection with the topos approach to quantum theory This book is Open Access under a CC BY licence