Table of contents
About this book
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?
A possible way to overcome critical issues in present-day quantum physics – such as a priori assumptions about space and time that are not compatible with a theory of quantum gravity, and the impossibility of talking about systems without reference to an external observer – is through a reformulation of quantum theory in terms of a different mathematical framework called topos theory.
This course-tested primer sets out to explain to graduate students and newcomers to the field alike, the reasons for choosing topos theory to resolve the above-mentioned issues and how it brings quantum physics back to looking more like a “neo-realist” classical physics theory again.
- Book Title A First Course in Topos Quantum Theory
- Series Title Lecture Notes in Physics
- Series Abbreviated Title Lect Notes Phys
- DOI https://doi.org/10.1007/978-3-642-35713-8
- Copyright Information Springer-Verlag Berlin Heidelberg 2013
- Publisher Name Springer, Berlin, Heidelberg
- eBook Packages Physics and Astronomy Physics and Astronomy (R0)
- Softcover ISBN 978-3-642-35712-1
- eBook ISBN 978-3-642-35713-8
- Series ISSN 0075-8450
- Series E-ISSN 1616-6361
- Edition Number 1
- Number of Pages XIII, 449
- Number of Illustrations 8 b/w illustrations, 0 illustrations in colour
Mathematical Methods in Physics
Mathematical Applications in the Physical Sciences
- Buy this book on publisher's site
From the reviews:
“This text presents a reformulation of quantum theory in terms of modern mathematical framework called topos theory. … This is one of the first text to address all of these aspects of topos quantum theory at the graduate student level.” (S. Moskaliuk, zbMATH, Vol. 1280, 2014)“The book is self-contained and can be used as a textbook or self-study manual teaching the usage of category theory and topos theory in particular in theoretical physics or in investigating the foundations of quantum theory in mathematically rigorous terms. … the book is a very welcome contribution.” (Frank Antonsen, Mathematical Reviews, December, 2013)