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A Second Course in Topos Quantum Theory

  • Cecilia¬†Flori

Part of the Lecture Notes in Physics book series (LNP, volume 944)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Cecilia Flori
    Pages 1-7
  3. Cecilia Flori
    Pages 115-148
  4. Cecilia Flori
    Pages 149-169
  5. Cecilia Flori
    Pages 171-188
  6. Cecilia Flori
    Pages 189-199
  7. Cecilia Flori
    Pages 225-246
  8. Cecilia Flori
    Pages 247-289
  9. Back Matter
    Pages 315-342

About this book

Introduction

This advanced course, a sequel to the first volume of this lecture series on topos quantum theory, delves deeper into the theory, addressing further technical aspects and recent advances. These include, but are not limited to, the development of physical quantities and self-adjoint operators; insights into the quantization process; the description of an alternative, covariant version of topos quantum theory; and last but not least, the development of a new concept of spacetime.

The book builds on the concepts introduced in the first volume (published as Lect. Notes Phys. 868), which presents the main building blocks of the theory and how it could provide solutions to interpretational problems in quantum theory, such as: What are the main conceptual issues in quantum theory? And how can these issues be solved within a new theoretical framework of quantum theory?

These two volumes together provide a complete, basic course on topos quantum theory, offering a set of mathematical tools to readers interested in tackling fundamental issues in quantum theory in general, and in quantum gravity in particular.

From the reviews of the first volume:

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

Keywords

Foundations of quantum mechanics Quantum logic Category theory Topos theory Kochen-Specker theorem Topos quantum theory textbook

Authors and affiliations

  • Cecilia¬†Flori
    • 1
  1. 1.Computing and Mathematical SciencesThe Waikato UniversityHamiltonNew Zealand

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-71108-9
  • Copyright Information Springer International Publishing AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-71107-2
  • Online ISBN 978-3-319-71108-9
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
  • Buy this book on publisher's site
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