Hidden momentum
In special relativity, hidden momentum or hidden mechanical momentum is the mechanical momentum (mass times velocity) that is unaccounted for by Newtonian mechanics. The concept of "hidden momentum" has been used in answering "paradoxes" in electromagnetism and other problems, including the Shockley–James paradox,[1] the Mansuripur paradox,[2] and the Aharonov–Casher effect.[3] However, these paradoxes have resolution without introducing hidden momentum.
Hidden Momentum
Several mechanisms for hidden momentum are proposed in Resource Letter EM-1: Electromagnetic Momentum.[4] However, none of these mechanisms have rigorous derivations or are effective in replacing the electromagnetic momentum of charge-current distributions.[5]. There is no evidence that Hidden Momentum actually exists.
References
- ^ Boyer, Timothy H. (7 January 2015). "Classical interaction of a magnet and a point charge: The Shockley-James paradox". Phys. Rev. E. 91 (1) 013201. arXiv:1408.3742. Bibcode:2015PhRvE..91a3201B. doi:10.1103/PhysRevE.91.013201. PMID 25679727. S2CID 3752475.
- ^ Griffiths, David J.; Hnizdo, V. (June 2013). "Mansuripur's paradox". American Journal of Physics. 81 (8): 570–574. arXiv:1303.0732. Bibcode:2013AmJPh..81..570G. doi:10.1119/1.4812445. S2CID 119277926.
- ^ Mansuripur, Masud (April 2014). "The Lorentz Force Law and its Connections to Hidden Momentum, the Einstein–Laub Force, and the Aharonov–Casher Effect". IEEE Transactions on Magnetics. 50 (4): 1–10. arXiv:1404.3261. Bibcode:2014ITM....5091817M. doi:10.1109/TMAG.2013.2291817. S2CID 1819434.
- ^ Griffiths, David J. (June 2013). "Resource Letter EM-1: Electromagnetic Momentum". American Journal of Physics. 80: 7–18. doi:10.1119/1.3641979.
- ^ Franklin, Jerrold (May 2014). "The electromagnetic momentum of static charge-current distributions". American Journal of Physics. 82: 869–875. arXiv:1302.3880. doi:10.1119/1.4879539.