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Speculations in Science and Technology

Conservation laws, machines of the first type and superluminal communication

María Esther Burgos, F. Gustavo Criscuolo, Thomas L. Etter

Published Dec 1, 1998• 6 citations
Publisher
DOI
10.1023/a:1005552504638

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We discuss the propagation of electromagnetic waves in a space-time modulated medium, for which neither energy nor momentum remains conserved. We have found a conservation law when modulation moves at a constant speed vvv in a traveling-wave fashion. We use this law to study how light is scattered inside such a medium. We consider both the subluminal (v<cv<cv<c) and superluminal (v>cv>cv>c) cases and find that they differ considerably in terms of what remains conserved. We show that the total number of photons is conserved in the subluminal case. In contrast, it is the difference between the forward- and backward-moving photons that remains conserved in the superluminal case. We also study the reciprocity issue for a space-time modulated medium and find that reciprocity holds in all situations. We develop a quantum formulation of our scattering problem and show that the subluminal case is similar to the action of a beam splitter. In the superluminal case, photon pairs can be generated from vacuum in a fashion analogous to the two-mode frequency down-conversion process.