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Trouton-Noble paradox revisited

Ivezić, Tomislav
Trouton-Noble paradox revisited // Foundations of physics, 37 (2007), 4-5; 747-760 doi:10.1007/s10701-007-9116-x (međunarodna recenzija, članak, znanstveni)

Trouton-Noble paradox revisited

Ivezić, Tomislav

Foundations of physics (0015-9018) 37 (2007), 4-5; 747-760

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Trouton-Noble paradox: 4D geometric quantities

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.

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Projekt / tema
098-1191005-2879 - Fizika teških iona (Zoran Basrak, )

Institut "Ruđer Bošković", Zagreb

Autor s matičnim brojem:
Tomislav Ivezić, (71760)

Časopis indeksira:

  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus