{"product_id":"elements-of-temporal-topos-goro-c-kato-9781845495817","title":"Elements of Temporal Topos","description":"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 \u0026amp; 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Goro C. Kato\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1845495810\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781845495817\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Theschoolbook.com\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 05\/30\/2013\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 100\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.56lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 11.00h x 8.50w x 0.21d","brand":"Goro C. Kato","offers":[{"title":"Paperback","offer_id":44125462790399,"sku":"9781845495817","price":60.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_d7c68830-f81a-49dc-ae6d-9acd2f32b5da.jpg?v=1687442768","url":"https:\/\/www.whiterainbookhouse.com\/products\/elements-of-temporal-topos-goro-c-kato-9781845495817","provider":"WR Book House","version":"1.0","type":"link"}