Some problem with the Lorentz transformations of energy and momentum of the electromagnetic field

Vladimir Onoochin

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arXiv · 2305.01994

Some problem with the Lorentz transformations of energy and momentum of the electromagnetic field

Vladimir Onoochin

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Abstract

In this work, it is shown that the energy and momentum of electromagnetic fields created by a classical charge, whose velocity varies with time, do not form four-vector. A possible explanation for this result is that the calculation of energy and momentum is performed as an integration of the densities of these quantities, {\it i.e.} the squares of the electromagnetic field $E^2$ and $H^2$ in the whole space at the hyperplane $t=const$. But $E^2$ and $H^2$, which are calculated at a fixed point in time, $t$, are all created at previous (retarded) instants of time. In other words, all densities $E^2$ and $H^2$ are independent of each other. Meanwhile, Lorentz transformations are defined as transformations between physically connected quantities.

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Vladimir Onoochin. 2023-05-03. Some problem with the Lorentz transformations of energy and momentum of the electromagnetic field. https://arxiv.org/abs/2305.01994

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