Deep beauty : understanding the quantum world through mathematical innovation /

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Bibliographic Details
Imprint:Cambridge ; New York : Cambridge University Press, 2011.
Description:1 online resource (xiii, 472 pages) : illustrations
Language:English
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11827409
Hidden Bibliographic Details
Other authors / contributors:Halvorson, Hans.
ISBN:9780511976971
0511976976
9781139078672
1139078674
9781139080941
1139080946
9781107005709
1107005701
Notes:Includes bibliographical references and index.
Print version record.
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"--
Other form:Print version: Deep beauty. Cambridge ; New York : Cambridge University Press, 2011 9781107005709
Table of Contents:
  • Part I. Beyond the Hilbert Space Formalism: Category Theory
  • 1. A prehistory of n-categorical physics
  • 2. A universe of processes and some of its guises
  • 3. Topos methods in the foundations of physics
  • 4. The physical interpretation of daseinisation
  • 5. Classical and quantum observables Hans
  • 6. Bohrification
  • Part II. Beyond the Hilbert Space Formalism: Operator Algebras
  • 7. Yet more ado about nothing: the remarkable relativistic vacuum state
  • 8. Einstein meets von Neumann: locality and operational independence in algebraic quantum field theory
  • Part III. Behind the Hilbert Space Formalism
  • 9. Quantum theory and beyond: is entanglement special?
  • 10. Is Von Neumann's 'no hidden variables' proof silly?
  • 11. Foliable operational structures for general probabilistic theories
  • 12. The strong free will theorem