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

ISBN-13: 9781108490627 / Angielski / Twarda / 2021 / 436 str.

Mathieu Anel; Gabriel Catren

Opis

In this graduate-level book, leading researchers explore various new notions of 'space' in mathematical physics.

Recenzje

'The collection would be of interest to any physicist, mathematician, historian, or philosopher seeking a survey of the approaches to dealing with the modern concept of space in physics … Recommended.' E. Kincanon, Choice Magazine

Spis treści

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.