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Deep Beauty

Deep Beauty

Deep Beauty

Understanding the Quantum World through Mathematical Innovation
Hans Halvorson, Princeton University, New Jersey
June 2011
Hardback
9781107005709
£141.00
GBP
Hardback
USD
eBook

    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.

    • Offers contributions from working physicists/mathematicians who give their views on the foundations of their subject
    • Discusses the boundaries of our current understanding of the physical world
    • Includes new mathematical ideas that uncover hidden beauty behind physical phenomena

    Product details

    June 2011
    Hardback
    9781107005709
    486 pages
    261 × 185 × 28 mm
    1.1kg
    15 b/w illus.
    Available

    Table of Contents

    • Part I. Beyond the Hilbert Space Formalism: Category Theory:
    • 1. A prehistory of n-categorical physics John C. Baez and Aaron Lauda
    • 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
    • Part 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
    • Part III. Behind the Hilbert Space Formalism:
    • 9. Quantum theory and beyond: is entanglement special? Borivoje Dakić and ÄŒaslav 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.
      Contributors
    • John C. Baez, Aaron Lauda, Bob Coecke, Chris J. Isham, Andreas Döring, Hans F. de Groote, Chris Heunen, Nicolaas P. Landsman, Bas Spitters, Stephen J. Summers, Miklós Rédei, Borivoje Dakić, ÄŒaslav Brukner, Jeffrey Bub, Lucien Hardy, John H. Conway, Simon Kochen

    • Editor
    • Hans Halvorson , Princeton University, New Jersey

      Hans Halvorson is Professor of Philosophy at Princeton University. He has written extensively on the foundations of quantum physics, with articles appearing in the Journal of Mathematical Physics, the Physical Review, Philosophy of Science, and the British Journal for the Philosophy of Science, among others. He is currently working on applying the tools of category theory to questions in the foundations of mathematics. Halvorson has been the recipient of the Mellon New Directions Fellowship (2007), the Cushing Memorial Prize in the History and Philosophy of Physics (2004), Best Article of the Year by a Recent Ph.D. (Philosophy of Science Association, 2001) and Ten Best Philosophy Articles of the Year (The Philosopher's Annual, 2001 and 2002).