Is there a scientifically plausible faster-than-light communication system?

In series such as the Hyperion Cantos and Ender's Game, there exist fictional faster-than-light communication systems allowing either instantaneous, or near-instantaneous transmission of information.

Are there any (or what are some scientifically plausible) methods of faster-than-light communication, and what are some important things to consider when applying one of these methods?

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Is there a scientifically plausible faster-than-light communication system?

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