Wwyd if you were given a pocket dimension 3m cubed?
Rules:
*You can teleport into and out of it at will
*It has a couple of plug sockets and can connect to internet from the region you teleported in from
*You can take objects and people with you
*As already stated, it is (3m)^3 (3m*3m*3m). The walls are plain plaster with a light in the middle of the ceiling. The pocket dimension is topologically toroidal, so if there weren't walls and a ceiling/floor (which you can actually destroy) you would loop if you went more than 3m in any direction. Gravity, then, is artificial and can be altered to anywhere from 0 to 2g from a dial on the wall.
Edit: additional specifications
*You can only teleport out to where you teleported in from.
*Time proceeds at the same rate inside the pocket dimension
*There is an eject button for those inside to get out if something happens to you
Long trips on planes/trains/busses would be a lot more enjoyable.
Emergency supplies would be available at a moments notice including escape from the elements (camping/travel just became a breeze) .
Would you be able to free dive super deep taking each breath or a rest in the pocket dimmension?
Since the pocket dimension would be sea level pressure, dipping into it for a breath when you're deep is a sure way to get the bends, which would be a painful way to die. (Especially if nobody is there to help you.)
Isn't the bends the consequence of the oxygen tank and nitrogen in your blood; and if the air in your body starts at atmospheric pressure it should be fine (though no idea about the effects on the human body from such a sudden change)
You are absolutely correct. Breathing surface air would negate the bends. It's why freedivers can go down and straight back up from 400ft with no ill effects.
Yes. People seem to think the bends always happens on exposure to weird pressures, but it just doesn't. I guess they're understandably imagining it's the same as hot or cold.
Well, enough delta p is entirely capable of squishing an entire person through a thumb-sized hole, and while there's no hole here I image there'd still be some sort of shock wave, and the air already in your lungs returning to normal volume suddenly would be uncomfortable. Don't go too deep the first time, definitely ease into it.
Interestingly just 1 atm is fairly harmless. The first time someone got caught in a vacuum chamber they weren't sure what they'd find, but the guy just got up and said his ears hurt.
Goddamn you physics
Also, would you leave a void in the water if you teleported out of it, or a big puddle in your cube going the other way?
The plane would keep moving while you left, so.. you would come back in to empty space.
So would, like earth, or even the Milky Way. All motion is relative. Gotta define what "the same place you teleported in from" means...
Wouldn't the same logic apply to the planet moving?
I think it was the Hitchhikers books that made that joke in relation to people inventing time travel. They travel to some other point in time and die in space because the earth isn't in that spot any more.
All the real theoretical kinds of time travel involve a physical path you have to move along with a specific start and end point, because yeah, otherwise the frame of reference would be ambiguous.