A plethora of technology...
...or..."magic"
"Any sufficiently advanced technology is indistinguishable from magic." -- <PERSON> (1962)
In any case, as you have learned from the other answers, the issues with your idea is rather complex. Far too complex to be covered by a nice and tidy answer on StackExchange. But we can listen in on a conversation between a Chamber Monitor Employee and an intern.
CM: Welcome! I suppose you are the new intern?
I: Yes, I am. I hope it's not too much of a hassle to you that I accompany you for this inspection walk?
CM: Of course not! Having some company on an inspection walk is always nicer thank walking alone. You see, I have to inspect 36 chambers today - which, basically, means to read out a few dials - and 36 chambers means eight hours of walking, usually alone.
I: Eight hours to check a few dials on 36 chambers? Any can't they be monitored remotely...?
CM: No, no remote monitoring, for safety reasons. The chambers' machines are very delicate and we protect them fron any unnecessary exposure from any external interference. Except for the mandatory External Brain Interface Links, of course.
I: But still...eight hours...for a "few dials"?
CM: It's mainly walking. See, the chambers are massive. For each occupant, we require about one cubic kilometer of machine space, so the walk from one chamber to another is about one kilometer. Hence, 36 chambers on a regular work day. And, before you ask, yes, the idea of using bicycles without electronics did come to us, but it would mean that halb of the Chamber Monitor personnel would be laid off...and so we prefer walking.
I: Uh, one cubic kilometer? I know that the Quantum Space Cooling machines are huge, but that huge? I mean, just for cooling one body...?
CM: Actually, the Quantum Space Cooling machinery only cools the brain. Obviously, a brain running at 100 times the normal speed also generated 100 times the heat, so there are 2 kilowatt to be taken care of.
I: But can't you just cool the blood going into the brain?
CM: No, that won't work, we need to remove the heat immediately, so all brain cells stay at reasonable temperature. And, also, we cannot speed up the blood flow 100 times to keep up with nutrition and cooling. So we teleport photons out of the brain to keep it cool.
I: Uh, isn't teleportation illegal?
CM: Large object teleportation is, indeed illegal? Do you know why?
I: No, not really....I guess so it cannot used for burglary or such? Of course I know all the conspiracy theories, like the government keeps it secret because they use to teleport airplanes away from the Antarctica Wall so they can upkeep their Round Earth conspiracy...but I don't believe in the Flat Earth idea in the first place.
CM: So you belong to a minority...nice to meet one of the 10% people who understand physics. 634
However, the real reason that we don't use teleportation on a larger level is that it's too unstable. We can teleport photons relatively easy. Except that in our case, it isn't. More on this later. For nutrition, we need to teleport complex molecules, and this is already a pain. The machinery to accomplish a hydrocarbon teleportation, with a very close to zero failure rate, takes up a lot of the space inside that one cubic kilometer chamber. You know, we want to teleport carbohydrates into a precise location, not just anywhere, and definitely not into a cell core. So we also need to constantly scan the brain to yield high resolution tomograms. Unfortunately, these MRT scanners interfere with the External Brain Interface Links, so we require quite a heap on machinery to keep these working despite the magnetic fields. Fortunately, the MRT fields are predictable, so we can create Magnetic Tubes to contain the communication links.
I: Oh. And what was the "more on this later on" thing?
CM: To maintain the rest of the body in a useful state, we require to cool it down...and to actually slow it down. You are probably aware that we don't just use drugs to speed up the brain and slow down the body? No? Never mind. We use Temporal Effectiveness Shifting to actually slow down the flow of time in the space occupied by the body, and to speed up time proportionally in the brain region. This leads to Type Two Interfacing Issues, because the Quantum Space Cooling machines, and their larger cousins which are used to deliver nutrition and other things, run at a very different time speed than the target areas. Tis is the part of the science where I fail to even remotely grasp what's going on...after all, I am just a Chamber Monitor. 225