The Channel Capacity of a Relativistic String

Adam R. Brown

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arXiv · 2405.14856

The Channel Capacity of a Relativistic String

Adam R. Brown

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Abstract

I explore the limitations on the capacity of a relativistic channel to transmit power and information that arise because of the finiteness of the transverse speed of light. As a model system, I consider a rope constructed from a fundamental string, for which relativistic invariance is built in. By wiggling one end of the string, both power and information may be transmitted to the other end. I argue that even though an unbounded amount of power and information may be traveling down the string, there is a bound on how much may be transmitted. Further, I conjecture that the two kinds of channel capacity -- power and information -- interfere with each other, so that the only way to transmit the maximum amount of power is to send no information, and vice versa.

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Adam R. Brown. 2024-05-23. The Channel Capacity of a Relativistic String. https://arxiv.org/abs/2405.14856

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