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  1. The Proof That Maxwell Equations with the 3D E and B Are Not Covariant Upon the Lorentz Transformations but Upon the Standard Transformations: The New Lorentz Invariant Field Equations.Tomislav Ivezić - 2005 - Foundations of Physics 35 (9):1585-1615.
    In this paper the Lorentz transformations and the standard transformations of the usual Maxwell equations with the three-dimensional vectors of the electric and magnetic fields, E and B, respectively, are examined using both the geometric algebra and tensor formalisms. Different 4D algebraic objects are used to represent the usual observer dependent and the new observer independent electric and magnetic fields. It is found that the ST of the ME differ from their LT and consequently that the ME with the 3D (...)
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  • Duality in Off-Shell Electromagnetism.Martin Land - 2005 - Foundations of Physics 35 (7):1245-1262.
    In this paper, we examine the Dirac monopole in the framework of Off-Shell Electromagnetism, the five-dimensional U(1) gauge theory associated with Stueckelberg–Schrodinger relativistic quantum theory. After reviewing the Dirac model in four dimensions, we show that the structure of the five-dimensional theory prevents a natural generaliza tion of the Dirac monopole, since the theory is not symmetric under duality transforma tions. It is shown that the duality symmetry can be restored by generalizing the electromagnetic field strength to an element of (...)
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  • Four-Dimensional Geometric Quantities Versus the Usual Three-Dimensional Quantities: The Resolution of Jackson’s Paradox. [REVIEW]Tomislav Ivezić - 2006 - Foundations of Physics 36 (10):1511-1534.
    In this paper we present definitions of different four-dimensional (4D) geometric quantities (Clifford multivectors). New decompositions of the torque N and the angular momentum M (bivectors) into 1-vectors Ns, Nt and Ms, Mt, respectively, are given. The torques Ns, Nt (the angular momentums Ms, Mt), taken together, contain the same physical information as the bivector N (the bivector M). The usual approaches that deal with the 3D quantities $\varvec{E,\,B,\,F,\,L,\,N}$ etc. and their transformations are objected from the viewpoint of the invariant (...)
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  • Trouton–Noble Paradox Revisited.Tomislav Ivezić - 2007 - Foundations of Physics 37 (4-5):747-760.
    An apparent paradox is obtained in all previous treatments of the Trouton–Noble experiment; there is a three-dimensional (3D) torque T in an inertial frame S in which a thin parallel-plate capacitor is moving, but there is no 3D torque T′ in S′, the rest frame of the capacitor. Different explanations are offered for the existence of another 3D torque, which is equal in magnitude but of opposite direction giving that the total 3D torque is zero. In this paper, it is (...)
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