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Gauge Theories & Differential Geometry

By: Lance Bailey (Edited by)

Extended Catalogue

Ksh 54,100.00

Format: Hardback or Cased Book

ISBN-10: 1634835468

ISBN-13: 9781634835466

Publisher: Nova Science Publishers Inc

Imprint: Nova Science Publishers Inc

Country of Manufacture: US

Country of Publication: GB

Publication Date: Dec 1st, 2015

Publication Status: Active

Product extent: 278 Pages

Weight: 738.00 grams

Dimensions (height x width x thickness): 18.80 x 26.20 x 2.20 cms

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This book revisits the mathematical foundations of thermodynamics and gauge theory by using new differential geometric methods coming from the formal theory of systems of partial differential equations and Lie pseudogroups. The gauge theory of gravity is also established, in which spinorial and ventorial matter fields serve as gravitating sources. The potential applications of the present gauge theory of gravity, including quantum-vacuum-energy gravity, cosmological constant problem and gravity-gauge unification is also addressed. The third chapter focuses on a gravitational gauge theory with spin connection and vierbein as fundamental variables of gravity. Next, the place and physical significance of Poincaré gauge theory of gravity (PGTG) in the framework of gauge approach to gravitation is discussed. A cutoff regularization method in gauge theory is discussed in Chapter Five. The remaining chapters in the book focus on differential geometry, in particular, the authors show how fractional differential derived from fractional difference provides a basis to expand a theory of fractional differential geometry which would apply to non-differentiable manifolds; a review of the infinitesimal Baker-Campbell-Hausdorff formula is provided and the book concludes with a short communication where the authors focus on local stability, and describe how this leads naturally into the question of finite-time singularities and generalized soliton solutions.

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