Waves and causality in higher dimensions
arXiv:1510.07178 · doi:10.1016/j.physletb.2015.09.003
Abstract
We give a new, wave-like solution of the field equations of five-dimensional relativity. In ordinary three-dimensional space, the waves resemble de Broglie or matter waves, whose puzzling behaviour can be better understood in terms of one or more extra dimensions. Causality is appropriately defined by a null higher-dimensional interval. It may be possible to test the properties of these waves in the laboratory.
15 pages, no figures
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