We study semiclassical communication in positivity-violating $k$-essence scalar field theories, with superluminal modes propagating on a rolling background. The self-interactions due to the nonlinear nature of these theories pose a constraint on the rate of superluminal information transfer. We derive a novel bit rate bound on superluminal communication within a conceptual model, to which a general class of $k$-essence theories reduces. Our result implies the possibility that, even if these positivity-violating $k$-essence theories may not possess a maximal information propagation speed, there is nevertheless an upper bound on the rate of information transfer.

中文翻译：

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超光速通信的比特率限制

我们研究违反积极性的半经典交流 $克$-本质标量场理论，超光速模式在滚动背景上传播。由于这些理论的非线性性质导致的自相互作用对超光速信息传输的速率构成了限制。我们在一个概念模型中推导出一个关于超光速通信的新比特率界限，一般类别$克$-本质理论减少。我们的结果暗示了一种可能性，即使这些违反积极性的$克$- 本质理论可能没有最大的信息传播速度，但是信息传输的速度是有上限的。