论文标题
向相对论观察者发出信号：爱因斯坦 - 香农 - 里曼遭遇
Signaling to Relativistic Observers: An Einstein-Shannon-Riemann Encounter
论文作者
论文摘要
描述了通信方案，涉及一系列由发射器触发的事件，并由接收器经历相对论时间扩张。假定发射器选择的消息被认为是在事件的时间安排中编码的，并且必须由接收器完美地恢复，而不管两个参考框中的时钟速率差异如何。结果表明，可以选择作为代码的所有$ k $ event信号的最大比例，以确保此设置中的无错误信息传输等于$ζ（k）^{ - 1} $，其中$ζ$是riemann zeta Zeta函数。
A communication scenario is described involving a series of events triggered by a transmitter and observed by a receiver experiencing relativistic time dilation. The message selected by the transmitter is assumed to be encoded in the events' timings and is required to be perfectly recovered by the receiver, regardless of the difference in clock rates in the two frames of reference. It is shown that the largest proportion of the space of all $ k $-event signals that can be selected as a code ensuring error-free information transfer in this setting equals $ ζ(k)^{-1} $, where $ ζ$ is the Riemann zeta function.
