arima publishing
arima publishing blank
blnk blnk blnk blnk blnk blnk blnk blnk blnk blnk
arima publishing blank
info Book Information <<back
blnk
blnk
Elements of Temporal Topos
by Goro C Kato
blnk
ISBN: 9781845495817
Format: softback
216 x 280 mm
(8.5 x 11 inches)
Pages: 100
Imprint: abramis
Cover Price: £37.50
  buy this book
Elements of Temporal Topos
 
Book Resources:
Google this author/title    google this author
Sample Chapter not available
not available LookInside flash book preview
PDF order form not available
PDF flyer not available
Related Links:
 
blnk
blnk
blnk
  • 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 & 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.

 
arima publishing blank
arima publishing blank
Tel: +44-01284-717885
arima publishing blank
Email: sales@arimapublishing.com
arima publishing blank
Fax: +44-01284-717889
 
arima publishing blank
www.arimapublishing.co.uk:  
| |
arima publishing blank