A Second Course in Topos Quantum Theory

Cecilia Flori (Autor)

Buch | Softcover

XIV, 342 Seiten

2018 | 1st ed. 2018
Springer International Publishing (Verlag)
978-3-319-71107-2 (ISBN)

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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

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Logic of Propositions in Topos Quantum Theory.- Developments on Self Adjoint Operators in Topos Quantum Theory.- Physical quantities interpreted as modal operators.- Group action in Topos Quantum Theory take two.- Quantization in Topos Quantum Theory.- Groethendieck Topoi.- Locales.- Spacetime.- Topos and Logic.- Internalizing Objects in Topos Theory.- What information can be recovered from the abelian subalgebras of a von-Neumann algebra.- Extending the spectral presheaf to non-abelian unital C*-algebras.

Erscheinungsdatum	09.03.2018
Reihe/Serie	Lecture Notes in Physics
Zusatzinfo	XIV, 342 p. 70 illus., 48 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	539 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	category theory • Foundations of quantum mechanics • Kochen-Specker Theorem • Quantum Logic • Topos Quantum Theory Textbook • topos theory
ISBN-10	3-319-71107-5 / 3319711075
ISBN-13	978-3-319-71107-2 / 9783319711072
Zustand	Neuware