Daedalus

Emory says his sub-quantum transporter is a completely flawed concept. So how come it worked on the probe? And if we say that he just did a normal transport on the probe, why would it end up 40,000 kilometres away? Previous episodes have indicated that the Enterprise transporter range is a few thousand kilometres, tops, so this was extended by at least tenfold! And even if we assume that Emory came up with some upgrade to the normal transporter to allow this, what was all that about "maybe you can extend your range a few hundred kilometres" at the end - he'd already beaten that by a long way!

New fact about Archer - he was one of those child prodigies! In this episode he talks about a heart-to-heart chat he had with his father the day before he went to flight school. In "Cold Station 12", we are told that Archer's father died when he was only twelve years old. So Archer must have gone to flight school when he wasn't even a teenager!

Since Emory invented the transporter, we can have a reasonable window on when this happened. We can be fairly sure that the transporter wasn't cleared for biomatter (people) until shortly before Enterprise began in 2151 thanks to "Broken Bow". Emory was already working on the sub-Quantum transporter fifteen years before this episode, in 2139. So he would more than likely have built the original transporter somewhere in the region of 2120 - 2135.