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  • © 2018

A Second Course in Topos Quantum Theory

Authors:

  • Authored by a leading researcher in the field
  • Course-tested textbook
  • Includes worked-out problems

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

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xiv
  2. Introduction

    • Cecilia Flori
    Pages 1-7
  3. Grothendieck Topoi

    • Cecilia Flori
    Pages 115-148
  4. Locales

    • Cecilia Flori
    Pages 149-169
  5. Internalizing Objects in Topos Theory

    • Cecilia Flori
    Pages 171-188
  6. Geometric Logic

    • Cecilia Flori
    Pages 189-199
  7. Space Time in Topos Quantum Theory

    • Cecilia Flori
    Pages 225-246
  8. Extending the Topos Quantum Theory Approach

    • Cecilia Flori
    Pages 247-289
  9. Back Matter

    Pages 315-342

About this book

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

Authors and Affiliations

  • Computing and Mathematical Sciences, The Waikato University, Hamilton, New Zealand

    Cecilia Flori

About the author


Bibliographic Information

Buy it now

Buying options

eBook USD 49.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access