Yorkshire Pudding wrote:How does the 'Heisenberg compensator' in the transporters work then?

They work just fine, thank you.
In quantum physics, the Heisenberg uncertainty principle states that one cannot know both the position of a subatomic particle and its momentum to arbitrary precision. The more you know about one, the less you can know about the other.
This becomes relevant in the transporter system. When one considers that to know where everything is coming from and going to, one pretty much has to know near-exactly where everything is. By Star Trek's 24th century, that is no longer a problem, since the Heisenberg compensators are used to keep everything in the matter stream exactly where it should be.
Note, that this does not mean that the Heisenberg compensators tell you the vital statistics of a particle; they could very well just compensate for not knowing them and keep the system working just fine.
(courtasy of Wiki (I didn't have time to look properly))
Oh, and I was a Lieutenant, not Captain
