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- W4366400470 abstract "We study the implications of time-varying wave mechanics, and show how the standard wave equation is modified if the speed of a wave is not constant in time. In particular, waves which experience longitudinal acceleration are shown to have clear relativistic properties when a constant reference speed exists. Moreover, the accelerating wave equation admits only solutions propagating forward in time, which are continuous across material interfaces. We then consider the special case of electromagnetic waves, finding that the Abraham-Minkowski controversy is caused by relativistic effects, and the momentum of light is in fact conserved between different media. Furthermore, we show that the accelerating waves conserve energy when the wave is moving along a geodesic and demonstrate two example solutions. We conclude with some remarks on the role of the accelerating wave equation in the context of the arrow of time." @default.
- W4366400470 created "2023-04-21" @default.
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- W4366400470 date "2023-04-17" @default.
- W4366400470 modified "2023-10-01" @default.
- W4366400470 title "Time-varying media, relativity, and the arrow of time" @default.
- W4366400470 doi "https://doi.org/10.48550/arxiv.2304.08108" @default.
- W4366400470 hasPublicationYear "2023" @default.
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