You could turn invisibility on and off as you like and there would be no time limit. Your clothes would turn invisible too, and you could decide whether the items you are holding would be visible or not.
There would be no limits on how many times or where you could teleport. The items you hold while teleporting would be teleported too. You would also have the ability to know if the place would be safe to teleport to, so you wouldn’t teleport and get impaled by an icicle or teleport inside a wall and get your insides filled with concrete or something.
Personally, I don’t know which one would I pick. Invisibility would be awesome for pranks and stuff, but teleportation probably would be more useful for everyday life.
By what you’re saying, it sounds like you’re confirming what I said, just in a different way. A photon experiences time, but in its own frame of reference, the time experienced is zero. From its perspective, the time it takes to travel from one destination to the next, is zero. Just like the clock following it would show, from our perspective. Or am I misunderstanding?
First of all, talking about a photon’s experience is weird because when moving at the the speed of light, the transformation equations associated with changing the frame of reference start having infinities appearing within them which makes it impossible to mathematically define things like time elapsed or distance travelled.
Secondly it is a little confusing to talk about of frames of reference but I will try my best to explain.
Assume there are two balls(A and B) in an empty region of spacing moving away from each other at speed of 1m/s. Since there are refrences in the background, we have no idea of both the balls are moving or ball A is the only one moving or ball B is the only one moving. From ball A’s perspective, it would seem like ball B is moving away from it while it is stationary. Vice versa for ball B which thinks A is moving while it is stationary. Now let us say that the balls have a way to measure the time elapsed and distance travelled. Now when ball A sees that 10 seconds have passed and that ball B has travelled 10m. To verify this it measures the reading shown by ball B. To its surprise it finds out the reading from B’s instruments show that only 8 seconds have and that B travelled only 8m. This is the time dialation and length contraction that happens in special relativity. Till now everything is fine but interesting things start to happen when you switch perspectives. In the frame of reference of B, it measures that 10 seconds has passed and that A has moved 10m in that duration. When it tries to verify these measurements from A’s instruments, it finds out that they show that only 8sec have passed and that A has only travelled 8m. Now we are in trouble as these measurements seem incompatible. Not only are the instruments not agreeing with each, other, the instruments don’t even agree with themselves depending on the frame. This is eventually resolved by the realisation that the order of events is not the same for all frames. In A’s, frame, it seems to B that started measuring late by 2s while from B’s frame it seems A started measurements later. Adding this 2 second delay in both frames solves all the measurement inconsistency issues.(The numbers used are random. If you actually calculate the difference in measurements coming from a relative velocity of 1m/s, the differences will be exceeding small)
Now that a basic understanding is out of the way, let us discuss the case of the photon. From our frame of reference, the photon is moving at the speed of light, we can measure with our instruments for how long the photon moved and what was the distance it moved but when we measure using the photon’s instruments we see that the clock always shows the same time and no time has lapsed. From the photon’s frame, it seems like it is stationary and everything else is moving at the speed of(which is obviously not true. Weird things happen when we try talk of moving at the speed of light beacuse of the infinities I aluded to before) and so while it clock is ticking, the clocks of the world around it seem stopped. So in conclusion while it valid to say that photons experience no time, it is only because we can’t go to the photon’s frame of reference because physics and math fail us that point.
Sorry for the incredibly long reply.