Remember "The Fly"? Where through a teleportation experiment, a fly and a monster are combined into Jeff Goldblum? We obviously need a teleporter that only moves cells with human DNA, 46 chromosomes. That would work better!
But non-organic stuff wouldn't go. That's likely for the best, so that one doesn't get combined with their belt buckles. On the other hand, it means the belt buckle stays behind, along with your synthetic fiber clothing, your jewelry, and for that matter, your piercings. And more worryingly, any non-organic internal material stays in the original transporter, People with plates in their heads, artificial knees, or fillings will be startled when they get to the other side.
So, our test subject will appear in the receiving teleporter with sore teeth, missing joints, and missing clothes.
Amusingly, I think this means tattoos won't go over either. The ink is non-organic. So the original tube will have some of your clothes, your fillings, your tats, and maybe an artificial joint or two floating in the air for a moment before they all crash into a pile.
We're also not sending organic cells with anything other than the human 46 chromosomes. Your organic clothes have cotton or cow DNA. They'll stay behind. You'll be absolutely naked on the other side. Chilly! Also, have you ever seen a close-up view of your skin? There are zillions of little creatures wandering around on your skin. They won't come through. You'll be quite a clean naked person on the other end, and the original teleporter will have an outline of your body made up of suprised tiny mites, within your clothes, with your tats and piercings...before they all fall into a pile.
You've got a lot of intestinal critters. Nothing gross like tapeworms or anything (although they would stay behind too), but E coli and other beneficial bacteria that help you digest. They'll stay behind. As, come to think of it, anything you've eaten. And all the bacteria in your mouth. Within that outline of your skin left behind, there will be a distinct outline of your digestive system and the food you've eaten. Ew. On the other end, you'll be very hungry, and you'll likely have digestive issues for a while.
Oh. What about your sex organs? They'll come through. But the eggs and sperm wont, as they have 23 chromosomes. A woman can't make any more eggs, so she'd be sterile. A guy can make more sperm, although the sensation of having abruptly empty testicles might be an odd feeling. In the original transporter pod, we now have a few more cells floating in air before they join the increasingly large pile on the floor.
I'm coming to realize that our teleporter will need a large disposal unit. Also that what we think of us ourselves...isn't so much.
Oohh...mitochondria! You may recall that the cell organelles called mitochondria facilitate energy transfer in the human cells. They aren't human, though, and were originally a cell in it's own right. It does not have human DNA. They're not going with. On the one hand, this is good, because that way you won't end up with some sort of Jeff Goldblum/cell organelle hybrid, spewing adenosine triphosphate everywhere. On the other hand, without those cell organelles...you have no method for getting any energy into your cells.
So, the original teleporter pod will have your clothes, your jewelry, your tats, your skin cell mites, your intestinal flora, a small cloud of eggs or sperm, and a huge person-shaped cloud of mitochondria. The second teleporter will have everything that is indisputably YOU. Of course, you'll die pretty quickly and painfully with no energy, missing joints, and the runs.
Still a few bugs to work out of this system.