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Choose wisely!
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this post was submitted on 15 Nov 2023
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I agree with your choices but your logic for the teleportation doesn't hold up. You've assumed your momentum wouldn't be conserved through the teleportation in a weird way. Assuming momentum is conserved, you would still fall just as quickly. In fact, you would reach terminal velocity in short order, and would have to continually teleport to keep yourself from crashing into the ground. By itself that would be bad enough, but you moving through the air between teleports would cause the air to move as well, so assuming you could keep up and hold your elevation, your velocity relative to the ground would increase to some number higher than terminal velocity. Think Chell continually falling through portals. Now you're stuck unless you can also teleport slightly to the side without falling. Best case you go to one of those indoor skydiving places and get in so you can slow down without dying. I was going to explore what would happen if your momentum somehow wasn't conserved, but that would imply some absolute fixed frame of reference or magical mumbo jumbo, neither of which exist.
You could totally travel faster though, without even needing to walk. You would also be super dangerous in one on one combat sports. A well placed 7 inch teleportation can easily get the win in the right sports.
I disagree with your teleportation assessment. Just as I don't think my momentum would be conserved, you think it is. You have no more reason to believe it would than I have to believe it wouldn't. Because there's no foundation for teleportation as it doesn't exist.
I'm not sure what logic you want to use with something that is made up. But im gonna go ahead and assume my teleportation will work on my rules since no rules were ever specified.
You can feel free to use whatever made up rules you want for your own magical power.
Conservation of momentum is a law of nature, making it natural to assume it would still hold even with a hypothetical power. But you do you. It's ok to be wrong sometimes.
conservation of momentum is only a true, when translational invariance holds. In addition, there may be a countless number of mechanisms by which teleportation changes a persons momentum. E.g. maybe the way this kind of teleportation works is Star Tek-like and your atoms get disassembled and reassembled, meaning they don't need to have the same overall momentum, when whatever is doing the dissassembly stops atoms for dissassembly.
There are a ton of conditions that are left floating, for sure. Some people here are imagining this as "instant" teleportation. As in: here one second, there the next.
If zero time passes when a person is teleported, that causes some problems. I like thinking about that one, TBH. That starts to dive into the realm of breaking space itself, which is super cool to noodle on. (Wormholes FTW!)
My own questions would be more about how disassembly and reassembly would maintain original state. If an electron is moving when it is transported, where does that momentum go and how is it reapplied.