M. D. Maia

Geometry of the Fundamental Interactions (eBook, PDF)

On Riemann's Legacy to High Energy Physics and Cosmology

• Format: PDF

Produktbeschreibung

Gravitation, electromagnetics and the two types of nuclear forces constitute the four fundamental forces of nature which regulate our everyday life. Amazingly, they are all described by a single idea of the 19th century proposed by Bernhard Riemann, and with the exception of gravitation, these ideas have been since confirmed by high energy experiments and cosmological observations. Geometry of the Fundamental Interactions - On Riemann's Legacy to High Energy Physics and Cosmology is a mathematical narrative of how we have come to agree on such a complex plot of nature, starting with the basic geometrical concepts and ending with hints on the perspective for cosmology.

This book originated from lectures given for several years to a mixed audience of mathematicians, physicists, astronomers, engineers, philosophers and sociologists seeking to understand the basics of those interactions and how the concept of Riemann curvature came to occupy such a central position in physics. The author takes on the challenge of making the path toward understanding both accessible and interesting to a wide audience.

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Produktdetails

• Verlag: Springer-Verlag GmbH
• Seitenzahl: 179
• Erscheinungstermin: 14. Juni 2011
• Englisch
• ISBN-13: 9781441982735
• Artikelnr.: 38306112

Inhaltsangabe

The Fundamental Interactions.- The Physical Manifold.- Symmetry.- The Algebra of Observables.- Geometry of Space-Times.- Scalar Fields.- Vector, Tensor, and Spinor Fields.- Noether's Theorem.- Bundles and Connections.- Gauge Field Theory.- Gravitation.

Rezensionen

From the reviews:
"The book, with a good amount of rigor, takes a 'slice' of all the aspects of the unifying math, and aligns them with Riemann geometry, and especially the Riemann tensor. ... Highly recommended for those who want a fresh view of the real, current applications and value of Riemann, all the way beyond quaternions to octavians!" (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, December, 2013)