Time travel does seem counterintuitive to us, but we really do have to reckon with it in real-world terms – here’s a mundane example that we absolutely know is real:
the twin paradox (it’s not really a paradox, btw – it’s just kinda strange).
I think most people already know the scenario: an astronaut departs from the Earth and travels in space near the speed of light for awhile, leaving his identical twin brother behind on the Earth. The traveling astronaut twin is traveling through space at relativistic speed, which slows his rate of motion through time relative to his initial rest frame at the Earth (this conjoined space and time geometry is the key feature of special relativity). So when he gets back to the Earth, his brother is an old man, but only some smaller interval, perhaps mere days, have passed for the travelling astronaut twin. It seems unrealistic to our human intuition that a pair of identical twins could end up at different physical ages, standing side by side, simply by moving one of them through space at a high rate of speed, but it’s an absolutely proven scientific fact that this actually happens in physical reality. And
gravity has the same effect of aging you more slowly, just like high-speed travel does.
Incredibly, general relativity gives us an even stranger possibility,
which was discovered by Kurt Gödel back in 1949. Gödel noticed that if the universe is spinning (the entire spacetime structure itself, not just the matter within), certain trajectories through spacetime result in “
closed timelike curves,” i.e., you could travel on a curving trajectory through spacetime and circle back to an earlier point on your own timeline. We published a Physics Frontiers episode called
The Physics of Time Travel about this stuff. Most physicists were relieved that they could write this off as a mathematical abstraction since we have no empirical reason to think that the universe is spinning, because closed timeline curves result in the
grandfather paradox in 4D spacetimes. But in 1974 Frank Tipler discovered that closed timelike curves can arise in a non-rotating universe,
if you have a rotating cylinder of matter of infinite length. This provoked a harder look at closed timelike curves, and not long after that people like
Kip Thorne realized that if negative spacetime curvature is permitted in general relativity (which we now know that it is), a finite Tipler cylinder can generate closed timelike curves, and stable wormholes can in theory actually be constructed. However, the three known solutions to the grandfather paradox are all pretty awful – Stephen Hawking called his solution to the problem the “chronology protection conjecture,” because that’s all it is, a conjecture.
So travel in time may seem like an abstraction, but it’s not. Special relativity shows us that it would be quite feasible to travel hundreds or thousands+ years into the future, by simply moving really fast. And general relativity extends that prospect to gravitational fields, which is also a proven fact – time is actually passing more slowly on the Earth than in space. But GR also permits closed timelike curves, and every objection that’s been raised to the real-world physical prospect of CTCs have all failed.
So now we’re confronted with the physical possibility that a sufficiently advanced civilization that has attained “applied general relativity” technology, could not only fly circles around our fastest aircraft in space, but they could fly circles around us in time as well.
I’m not sure that I understand your cut/paste analogy, but it sounds like you’re postulating an extra dimension of time – a reference frame to cut/paste from. But in 4D physics, time is just a one-dimensional line, so you can’t “rise above” that line to do any cutting or pasting - you’re stuck on that line with the only options being to move forward or backward along it - so you’re saddled with causality paradoxes like the grandfather paradox.