A First Course in Topos Quantum Theory

• Main Author: Flori, Cecilia. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Series: Lecture Notes in Physics, 868
• Subjects: Physics.; Quantum theory.; Mathematical physics.; Quantum Physics.; Mathematical Physics.; Mathematical Methods in Physics.; Mathematical Applications in the Physical Sciences.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-35713-8

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,...

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
• Future Research
• Topos and Logic
• Worked out Examples.