abramis academic publishing
spacer spacer book details
spacer spacer spacer spacer spacer
home
home
contact us
------------
Subject Areas
Top Texts
Journals
Conference Proceedings
------------
information for:
Authors
Booksellers
Rights & Permissions
Lecturers
Review Copies
------------

  Journal Subscriptions

 
Elements of Temporal Topos <back  
Goro C Kato
ISBN: 9781845495817
Format: softback
216 x 280 mm
(8.5 x 11 inches)
Pages: 100
Imprint: abramis
Cover Price: £37.50
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 & 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.

 
spacer Resources
Sample Chapter sample chapter
not available LookInside flash book preview
PDF order form not available
PDF flyer flyer
Related Links:
spacer Information
For more information please contact us:
e: publisher@abramis.co.uk
t: 01284 717884
f: 01284 717889
spacer Purchase online
buy at arima publishing buy at amazon.co.uk buy at amazon.com
SiteMap