向相对论观测者发信号：爱因斯坦-香农-黎曼相遇
Signaling to Relativistic Observers: An Einstein-Shannon-Riemann Encounter
摘要：
描述了一种通信场景，该通信场景涉及由发射机触发并由经历相对论时间膨胀的接收机观察到的一系列事件。假设发射机选择的消息在事件的定时中被编码，并且需要由接收机完全恢复，而不管两个参考帧中的时钟速率的差异。它示出的所有$ k $ -事件信号，可以被选择为一个代码，确保在此设置中的无错误的信息传输的空间的最大比例等于$ ζ(k)^{-1} $，其中$ ζ$是黎曼zeta函数。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
