12. The strong free will theorem / 1. A prehistory of n-categorical physics / John H. Conway and Simon Kochen. 2. A universe of processes and some of its guises / Bob Coecke; 3. Topos methods in the foundations of physics / Chris J. Isham; 4. The physical interpretation of daseinisation / Andreas Döring; 5. Classical and quantum observables / Hans F. de Groote; 6. Bohrification / Chris Heunen, Nicolaas P. Landsman and Bas Spitters -- II. Beyond the Hilbert Space Formalism: Operator Algebras: 7. Yet more ado about nothing: the remarkable relativistic vacuum state / Stephen J. Summers; 8. Einstein meets von Neumann: locality and operational independence in algebraic quantum field theory / Miklós Rédei -- III. Behind the Hilbert Space Formalism: 9. Quantum theory and beyond: is entanglement special? / Borivoje Dakić and Časlav Brukner; 10. Is Von Neumann's 'no hidden variables' proof silly? / Jeffrey Bub; 11. Foliable operational structures for general probabilistic theories / Lucien Hardy; 12. The strong free will theorem / John H. Conway and Simon Kochen.
Summary:
"No scientific theory has caused more puzzlement and confusion than quantum theory. Physics is supposed to help us to understand the world, but quantum theory makes it seem a very strange place. This book is about how mathematical innovation can help us gain deeper insight into the structure of the physical world. Chapters by top researchers in the mathematical foundations of physics explore new ideas, especially novel mathematical concepts, at the cutting edge of future physics. These creative developments in mathematics may catalyze the advances that enable us to understand our current physical theories, especially quantum theory. The authors bring diverse perspectives, unified only by the attempt to introduce fresh concepts that will open up new vistas in our understanding of future physics"--Publisher.
This resource is supported by the Institute of Museum and Library Services under the provisions of the Library Services and Technology Act as administered by State Library of Iowa.