A Novel Approach to Relativistic Dynamics

Integrating Gravity, Electromagnetism and Optics de

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Éditeur :

Springer


Collection :

Fundamental Theories of Physics

Paru le : 2023-02-18

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Description

This self-contained monograph provides a mathematically simple and physically meaningful model which unifies gravity, electromagnetism, optics and even some quantum behavior. The simplicity of the model is achieved by working in the frame of an inertial observer and by using a physically meaningful least action principle.
The authors introduce an extension of the Principle of Inertia. This gives rise to a simple, physically meaningful action function. Visualizations of the geometryare obtained by plotting the action function. These visualizations may be used to compare the geometries of different types of fields. Moreover, a new understanding of the energy-momentum of a field emerges.
The relativistic dynamics derived here properly describes motion of massive and massless objects under the influence of a gravitational and/or an electromagnetic field, and under the influence of isotropic media.
The reader will learn how to compute theprecession of Mercury, the deflection of light, and the Shapiro time delay. Also covered is the relativistic motion of binary stars, including the generation of gravitational waves, a derivation of Snell's Law and a relativistic description of spin. We derive a complex-valued prepotential of an electromagnetic field. The prepotential is similar to the wave function in quantum mechanics. 
The mathematics is accessible to students after standard courses in multivariable calculus and linear algebra. For those unfamiliar with tensors and the calculus of variations, these topics are developed rigorously in the opening chapters. The unifying model presented here should prove useful to upper undergraduate and graduate students, as well as to seasoned researchers.
Pages
196 pages
Collection
Fundamental Theories of Physics
Parution
2023-02-18
Marque
Springer
EAN papier
9783031252136
EAN PDF
9783031252143

Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
19
Taille du fichier
3543 Ko
Prix
147,69 €
EAN EPUB
9783031252143

Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
19
Taille du fichier
21473 Ko
Prix
147,69 €