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Titlebook: Relativistic Dynamics of a Charged Sphere; Updating the Lorentz Arthur D. Yaghjian Book 19921st edition Springer-Verlag New York 1992 Finit

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spacing, the multifractal characteristics are pointed out. Further, the multifractality describing the joint quantity with depth is analyzed. The quantitative description of joints in drilling rock core could be initially made by the fractal analysis, which could provide the reference of simulating
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Introduction and Summary of Results,solutions to the Maxwell-Lorentz equations, the relativistic generalization of Newton’s second law of motion, and Einstein’s mass-energy relation. (The latter two laws of physics were not discovered until after the original works of Lorentz, Abraham, and Poincaré. The hope of Lorentz and Abraham for
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Internal Binding Forces,r equations of motion (2.1) and (2.4). Yet (2.1) and (2.4) are inconsistent, since taking the scalar product of . with (2.1) gives (2.5), which differs from (2.4) by the term (2.6). Not only the self electromagnetic momentum-energy but also the self electromagnetic force-power fails to transform as
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Electromagnetic, Electrostatic, Bare, Measured, and Insulator Masses,el of the electron. We begin with a specific model that we can, in principle, realize in our classical laboratory, namely, a charge . uniformly distributed on the surface of an insulator which remains spherical with constant radius . in its proper inertial frame of reference. Whether or not the mode
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Transformation and Redefinition of Force-power and Momentum-Energy, that just cancel the discrepancy (2.6) between the Lorentz-Abraham force and power equations of motion, (2.1) and (2.4). In Chapter 5 we saw that the relativistic generalization of Newton’s second law of motion, together with the Einstein mass-energy equivalence relation, require the negative bare
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Solutions to the Equation of Motion,our acceleration in (7.1) as . where . is defined in terms of the velocity of the center of the shell by . and the primes denote derivatives with respect to the proper time . Insertion of (8.1) into (7.1) yields the three-vector equation for .
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Lorentz-Abraham Force and Power Equations,g (without rotation) with arbitrary center velocity, . = .(.), and externally applied force .(.). The speed of light and permittivity in free space are denoted by . and ., respectively. The rationalized mksA international system of units is used throughout, and dots over the velocity denote differentiation with respect to time.
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