Trouton-Noble paradox revisited (CROSBI ID 132190)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Ivezić, Tomislav
engleski
Trouton-Noble paradox revisited
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 considered that 4D geometric quantities and not the usual 3D quantities are well-defined both theoretically and experimentally in the 4D spacetime. In analogy with the decomposition of the electromagnetic field F (bivector) into two 1-vectors E and B we introduce decomposition of the 4D torque N (bivector) into 1-vectors N s , N t. It is shown that in the frame of "fiducial" observers, in which the observers who measure N s and N t are at rest, and in the standard basis, only the spatial components and remain, which can be associated with components of two 3D torques T and T t. In such treatment with 4D geometric quantities the mentioned paradox does not appear. The presented explanation is in complete agreement with the principle of relativity and with the Trouton– Noble experiment without the introduction of any additional torque.
Trouton-Noble paradox: 4D geometric quantities
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano