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Sort of a followup to this question, in the Star Trek: Voyager episode Hunters, the crew uses an Hirogen network to receive messages sent from star fleet and loved ones.

With the appropriate tools I can discover where an email came from, could Voyager trace messages (I'm aware they don't use e-mail), determine its origin, and essentially plot a course home?

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    They know exactly where Earth is and how to get there. It's just that it would take a really long time (>70 years). – Rebel-Scum Dec 5 '18 at 7:31
  • @Loki Agreed. They were already plotting a course for home, but that wasn't the same thing as actually getting there any time soon. – Lorendiac Dec 5 '18 at 18:49
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Voyager

I think you've misunderstood slightly. Despite the crew's repeated statements to the contrary, the USS Voyager isn't lost, they're simply very far from home. Within seconds of arriving in the Delta Quadrant (in the pilot episode) Ensign Kim uses the sensor array to accurately locate their position and identify a suitable route back to Earth.

KIM: Captain, if these sensors are working, we're over seventy thousand light years from where we were. We're on the other side of the galaxy.


The Hirogen Network

When they encounter the communications array in VOY: Message in a Bottle, their first thought is to send an audio signal. It degrades quickly (for, erm, reasons) and the network bounces it back to them. Their next idea is to send a self-correcting holographic program along the network, which ends up working in both directions.

The fact that they're only sending signals would suggest that the required bandwidth to send a person (via transport) simply isn't there or that the risk of their signal degrading en-route is simply too high or that the technology simply wouldn't support it.

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