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A novel approach to relativistic dyn...

Friedman, Yaakov.

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A novel approach to relativistic dynamics = integrating gravity, electromagnetism and optics /

Record Type:	Electronic resources : Monograph/item
Title/Author:	A novel approach to relativistic dynamics/ by Yaakov Friedman, Tzvi Scarr.
Reminder of title:	integrating gravity, electromagnetism and optics /
Author:	Friedman, Yaakov.
other author:	Scarr, Tzvi.
Published:	Cham :Springer International Publishing : : 2023.,
Description:	xv, 196 p. :ill., digital ;24 cm.
[NT 15003449]:	1. Introduction -- 2. Classical Dynamics -- 3. The Lorentz Transformations and Minkowski Space -- 4. The Geometric Model of Relativistic Dynamics -- 5. The Electromagnetic Field in Vacuum -- 6. The Gravitational Field -- 7. Motion of Light and Charges in Isotropic Media -- 8. Spin and Complexified Minkowski Spacetime -- 9. The Prepotential.
Contained By:	Springer Nature eBook
Subject:	Relativity (Physics) -
Online resource:	https://doi.org/10.1007/978-3-031-25214-3
ISBN:	9783031252143

A novel approach to relativistic dynamics = integrating gravity, electromagnetism and optics /
Friedman, Yaakov.

A novel approach to relativistic dynamicsintegrating gravity, electromagnetism and optics /[electronic resource] :by Yaakov Friedman, Tzvi Scarr. - Cham :Springer International Publishing :2023. - xv, 196 p. :ill., digital ;24 cm. - Fundamental theories of physics,v. 2102365-6425 ;. - Fundamental theories of physics ;v. 210..

1. Introduction -- 2. Classical Dynamics -- 3. The Lorentz Transformations and Minkowski Space -- 4. The Geometric Model of Relativistic Dynamics -- 5. The Electromagnetic Field in Vacuum -- 6. The Gravitational Field -- 7. Motion of Light and Charges in Isotropic Media -- 8. Spin and Complexified Minkowski Spacetime -- 9. The Prepotential.

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 the precession 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.

ISBN: 9783031252143

Standard No.: 10.1007/978-3-031-25214-3doiSubjects--Topical Terms:

516191
Relativity (Physics)

LC Class. No.: QC173.6 / .F75 2023

Dewey Class. No.: 530.11

A novel approach to relativistic dynamics = integrating gravity, electromagnetism and optics /
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245 1 0 $a A novel approach to relativistic dynamics $h [electronic resource] : $b integrating gravity, electromagnetism and optics / $c by Yaakov Friedman, Tzvi Scarr.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2023.
300 $a xv, 196 p. : $b ill., digital ; $c 24 cm.
490 1 $a Fundamental theories of physics, $x 2365-6425 ; $v v. 210
505 0 $a 1. Introduction -- 2. Classical Dynamics -- 3. The Lorentz Transformations and Minkowski Space -- 4. The Geometric Model of Relativistic Dynamics -- 5. The Electromagnetic Field in Vacuum -- 6. The Gravitational Field -- 7. Motion of Light and Charges in Isotropic Media -- 8. Spin and Complexified Minkowski Spacetime -- 9. The Prepotential.
520 $a 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 the precession 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.
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650 0 $a Dynamics. $3 519830
650 1 4 $a General Relativity. $3 3593594
650 2 4 $a Classical Mechanics. $3 3216970
650 2 4 $a Quantum Electrodynamics, Relativistic and Many-body Calculations. $3 3593588
650 2 4 $a Gravitational Physics. $3 3593593
650 2 4 $a Optics and Photonics. $3 1060604
700 1 $a Scarr, Tzvi. $3 3629599
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773 0 $t Springer Nature eBook
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856 4 0 $u https://doi.org/10.1007/978-3-031-25214-3
950 $a Physics and Astronomy (SpringerNature-11651)