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Channel Capacity of a Relativistic String
1Stanford University, Google DeepMind, Mountain View, California 94043, USA and Physics Department, Stanford, California 94305, USA.
None:
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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