Name: Elements of Temporal Topos (en Inglés)
SKU: 55125157
Price: 72.21 USD
Availability: InStock
Author: Goro C. Kato

portada Elements of Temporal Topos (en Inglés)

Formato

Libro Físico

Editorial

Theschoolbook.Com

Autor

Goro C. Kato

Idioma

Inglés

N° páginas

100

Encuadernación

Tapa Blanda

ISBN13

9781845495817

Elements of Temporal Topos (en Inglés)

Goro C. Kato (Autor) · Theschoolbook.Com · Tapa Blanda

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Reseña del libro "Elements of Temporal Topos (en Inglés)"

There are several approaches to quantum gravity. The most well known approach is string theory (M-theory), followed by loop quantum gravity. Temporal topos (t-topos) is an application of a modified topos over a category with a Grothendieck topology. We give explicit formulations in terms of t-topos for characteristic microcosmic phenomena such as wave-particle duality, uncertainty principle, and quantum entanglement. In order to claim that t-topos theory is leading to quantum gravity with the same mathematical model, i.e., t-topos, we need to formulate also relativistic notions as a light cone, gravitational effect by mass, black hole, and big bang. The main devises of t-topos as a unifying theory of microcosm and macrocosm are the notions of a (micro) decomposition of a presheaf and a (micro) factorization of a morphism of a t-site. Before the chapter on t-topos, we provide the necessary mathematical background from categories, sheaves, cohomologies, and D-modules, which can be useful to study the connections to twister covering cohomology, abstract differential geometry, and p-adic string theory. About the author Goro C. Kato is a professor of mathematics at California Polytechnic State University, San Luis Obispo, C. A, and the author of research monographs in algebraic geometry (cohomological algebra & p-adic cohomology) The Heart of Cohomology, published by Springer, Kohomoloji No Kokoro (in Japanese), published by Iwanami-Shoten, and in algebraic analysis (D-modules) Fundamentals of Algebraic Microlocal Analysis, (coauthor: Daniele Struppa), published by Taylor-Francis. Goro C. Kato belongs to the Association of the Members of the Institute for Advanced Study, Princeton, N. J.