New Spaces in Physics: Volume 2 - Formal and Conceptual Reflections

List of contents

Introduction Mathieu Anel and Gabriel Catren; Part I. Noncommutative and supercommutative geometries: 1. Noncommutative geometry, the spectral standpoint Alain Connes; 2. The logic of quantum mechanics (revisited) Klaas Landsman; 3. Supergeometry in mathematics and physics Mikhail Kapranov; Part II. Symplectic geometry: 4. Derived stacks in symplectic geometry Damien Calaque; 5. Higher prequantum geometry Urs Schreiber; Part III. Spacetime: 6. Struggles with the continuum John C. Baez; 7. Twistor theory: a geometric perspective for describing the physical world Roger Penrose; 8. Quantum geometry of space Muxin Han; 9. Stringy geometry and emergent space Marcos Mariño.

About the author

Mathieu Anel is a Visiting Assistant Professor at Carnegie Mellon University. His research interests include higher category theory, algebraic topology, and topos theory.Gabriel Catren is Permanent Researcher in philosophy of physics at the French National Centre for Scientific Research (CNRS). His research interests include the foundations of classical and quantum mechanics, and the foundations of gauge theories.

Summary

This book explores various new notions of space in mathematical physics, including both formal and conceptual points of view, as presented by leading experts at the New Spaces in Mathematics and Physics workshop. It is suitable for mathematical physicists and mathematicians, as well as historians and philosophers of these disciplines.

Product details

• Authors: Mathieu (Carnegie Mellon University Anel, Mathieu Catren Anel, MATHIEU ANEL, Anel Gabriel Catren Mathieu Anel
• Assisted by: Mathieu Anel (Editor), Mathieu (Carnegie Mellon University Anel (Editor), Gabriel Catren (Editor), Gabriel (Centre National de la Recherche Scientifique (CNRS) Catren (Editor)
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 31.08.2020
• EAN: 9781108490627
• ISBN: 978-1-108-49062-7
• No. of pages: 436
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; Gravity, MATHEMATICS / Topology, geometry, Topology, Quantum physics (quantum mechanics & quantum field theory), Quantum physics (quantum mechanics and quantum field theory), Mathematical physics, Mathematical / Computational / Theoretical physics