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Deformed Spacetime - Geometrizing Interactions in Four and Five Dimensions (Hardcover, 2007 ed.) Loot Price: R4,789
Discovery Miles 47 890
You Save: R303 (6%)
Deformed Spacetime - Geometrizing Interactions in Four and Five Dimensions (Hardcover, 2007 ed.): Fabio Cardone, Roberto Mignani

Deformed Spacetime - Geometrizing Interactions in Four and Five Dimensions (Hardcover, 2007 ed.)

Fabio Cardone, Roberto Mignani

Series: Fundamental Theories of Physics, 157

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List price R5,092 Loot Price R4,789 Discovery Miles 47 890 | Repayment Terms: R449 pm x 12* You Save R303 (6%)

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This volume provides a detailed discussion of the mathematical aspects and the physical applications of a new geometrical structure of space-time, based on a generalization ("deformation") of the usual Minkowski space, as supposed to be endowed with a metric whose coefficients depend on the energy.

Such a formalism (Deformed Special Relativity, DSR) allows one

  • to account for breakdown of local Lorentz invariance in the usual, special-relativistic meaning (however, Lorentz invariance is recovered in a generalized sense)
  • to provide an effective geometrical description of the four fundamental interactions (electromagnetic, weak, strong and gravitational)

Moreover, the four-dimensional energy-dependent space-time is just a manifestation of a larger, five-dimensional space in which energy plays the role of a fifth (non-compactified) dimension. This new five-dimensional scheme (Deformed Relativity in Five Dimensions, DR5) represents a true generalization of the usual Kaluza-Klein (KK) formalism.

The mathematical properties of such a generalized KK scheme are illustrated. They include the solutions of the five-dimensional Einstein equations in vacuum in most cases of physical relevance, the infinitesimal symmetries of the theory for the phenomenological metrics of the four interactions, and the study of the five-dimensional geodesics.

The mathematical results concerning the geometry of the deformed five-dimensional spacetime (like its Killing symmetries) can be applied also to other multidimensional theories with infinite extra dimensions. Some experiments providing preliminary evidence for the hypothesized deformation of space-time for all thefour fundamental interactions are discussed.

General

Imprint: Springer-Verlag New York
Country of origin: United States
Series: Fundamental Theories of Physics, 157
Release date: August 2007
First published: 2007
Authors: Fabio Cardone • Roberto Mignani
Dimensions: 235 x 155 x 28mm (L x W x T)
Format: Hardcover
Pages: 506
Edition: 2007 ed.
ISBN-13: 978-1-4020-6282-7
Categories: Books > Science & Mathematics > Physics > Optics (light)
Books > Science & Mathematics > Physics > Particle & high-energy physics
Books > Science & Mathematics > Mathematics > Applied mathematics > General
Books > Science & Mathematics > Physics > Relativity physics > General
Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General
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LSN: 1-4020-6282-6
Barcode: 9781402062827

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