A first course in topos quantum theory
In the last five decades various attempts to formulate theories of quantum gravity have been made, but none has fully succeeded in becoming the quantum theory of gravity. One possible explanation for this failure might be the unresolved fundamental issues in quantum theory as it stands now. Indeed, most approaches to quantum gravity adopt standard quantum theory as their starting point, with the hope that the theory's unresolved issues will get solved along the way. However, these fundamental i…
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- Full title :A first course in topos quantum theory / Cecilia Flori.
Summary
In the last five decades various attempts to formulate theories of quantum gravity have been made, but none has fully succeeded in becoming the quantum theory of gravity. One possible explanation for this failure might be the unresolved fundamental issues in quantum theory as it stands now. Indeed, most approaches to quantum gravity adopt standard quantum theory as their starting point, with the hope that the theory's unresolved issues will get solved along the way. However, these fundamental issues may need to be solved before attempting to define a quantum theory of gravity. The present text adopts this point of view, addressing the following basic questions: What are the main conceptual issues in quantum theory? How can these issues be solved within a new theoretical framework of quantum theory?--Provided by publisher.
Read More ↓Edition Statements
- Publication Date:©2013
Publication Statements
- Publisher(s):Springer
- Place of Publication:Berlin
- Language:eng
- Publication Date:©2013
The Physical Object
- Description:xiii, 449 pages : : illustrations ; : 24 cm.
Edition Identifiers
- ISBN:3642357121, 9783642357121, 364235713X, 9783642357138
- oclc:ocn821217602
- LC Classification:QC20
- Dewey Decimal:530.15
Table of Contents
Introduction -- Philosophical Motivations -- Kochen-Specker Theorem -- Introducing Category Theory -- Functors -- The Category of Functors -- Topos -- Topos of Presheaves -- Topos Analogue of the State Space -- Topos Analogue of Propositions -- Topos Analogues of States -- Truth Values -- Quantity Value Object and Physical Quantities -- Sheaves -- Probabilities in Topos Quantum Theory -- Group Action in Topos Quantum Theory -- Topos History Quantum Theory -- Normal Operators -- KMS States -- One-Parameter Group of Transformations and Stone's Theorem -- Future Research.
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