The Channel Capacity of a Relativistic String

TL;DR

This paper investigates the fundamental limits on transmitting power and information through a relativistic string, revealing that capacity bounds exist and that power and information transmission interfere with each other.

Contribution

It introduces a model of a relativistic string channel, demonstrating capacity bounds and the trade-off between power and information transmission.

Findings

Bounded capacity for power and information transmission.

Interference between power and information channels.

Maximum power transmission precludes information transfer.

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.