Deep beauty :
Deep beauty : understanding the quantum world through mathematical innovation /
edited by Hans Halvorson.
- Cambridge : Cambridge University Press, 2011.
- 1 online resource (xiii, 472 pages) : digital, PDF file(s).
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Beyond the Hilbert Space Formalism: Category Theory: A prehistory of n-categorical physics / A universe of processes and some of its guises / Topos methods in the foundations of physics / The physical interpretation of daseinisation / Classical and quantum observables / Bohrification / Beyond the Hilbert Space Formalism: Operator Algebras: Yet more ado about nothing: the remarkable relativistic vacuum state / Einstein meets von Neumann: locality and operational independence in algebraic quantum field theory / Quantum theory and beyond: is entanglement special? / Is Von Neumann's 'no hidden variables' proof silly? / Foliable operational structures for general probabilistic theories / The strong free will theorem / John C. Baez and Aaron Lauda; Bob Coecke; Chris J. Isham; Andreas Döring; Hans F. de Groote; Chris Heunen, Nicolaas P. Landsman and Bas Spitters -- Stephen J. Summers; Miklós Rédei -- Borivoje Dakić and Časlav Brukner; Jeffrey Bub; Lucien Hardy; John H. Conway and Simon Kochen. I. 1. 2. 3. 4. 5. 6. II. 7. 8. III. Behind the Hilbert Space Formalism: 9. 10. 11. 12.
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.
9780511976971 (ebook)
Quantum theory--Mathematics.
Mathematical physics.
QC174.17.M35 / D44 2011
530.1201/51
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Beyond the Hilbert Space Formalism: Category Theory: A prehistory of n-categorical physics / A universe of processes and some of its guises / Topos methods in the foundations of physics / The physical interpretation of daseinisation / Classical and quantum observables / Bohrification / Beyond the Hilbert Space Formalism: Operator Algebras: Yet more ado about nothing: the remarkable relativistic vacuum state / Einstein meets von Neumann: locality and operational independence in algebraic quantum field theory / Quantum theory and beyond: is entanglement special? / Is Von Neumann's 'no hidden variables' proof silly? / Foliable operational structures for general probabilistic theories / The strong free will theorem / John C. Baez and Aaron Lauda; Bob Coecke; Chris J. Isham; Andreas Döring; Hans F. de Groote; Chris Heunen, Nicolaas P. Landsman and Bas Spitters -- Stephen J. Summers; Miklós Rédei -- Borivoje Dakić and Časlav Brukner; Jeffrey Bub; Lucien Hardy; John H. Conway and Simon Kochen. I. 1. 2. 3. 4. 5. 6. II. 7. 8. III. Behind the Hilbert Space Formalism: 9. 10. 11. 12.
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.
9780511976971 (ebook)
Quantum theory--Mathematics.
Mathematical physics.
QC174.17.M35 / D44 2011
530.1201/51