You are missing the point. Cardinal directions go for an infinite distance. The South Pole is just an arbitrary spot. If you wanted to change your direction after you crossed the South Pole it would be because you want to change your direction, not because you want to keep the same direction.
I find no reference anywhere that "cardinal directions go on for an infinite distance" and instead numerous references that the cardinal directions are north, east, south, and west and operate in the way I have specified.
They are 2D directions. When does the direction north stop being north?
No they are not. They are north, east, south, and west, and those are not 2D directions. Following a great circle north stops being north when you pass over the North Pole and then becomes south. Following east at any point other than the equator means turning away from a great circle; the closer to a pole, the tighter the turn.
If you have a different reference that supports your statement, please provide it.
I don’t need to prove directions.
Yeah you do when you get the definition wrong. You're just making shit up.
I am doubtless "missing the point" because you are making up your own definition of cardinal directions to attempt to make your point.
No. You think a bearing magically changes because you pass a made up spot.
Of course it does. It's not magic, it's the definition of the direction. The directions north, east, south, and west are
defined by the spots you like to call made up, but which have actual physically distinct characteristics.
Quit making up stuff you want to be true.
While not properly citing sources, the Wikipedia entry on cardinal directions (
https://en.wikipedia.org/wiki/Cardinal_direction) describes it with reasonable accuracy:
"Thus the bearing of a straight path crossing the North Pole changes abruptly at the Pole from North to South. When travelling East or West, it is only on the Equator that one can keep East or West and be going straight (without the need to steer). Anywhere else, maintaining latitude requires a change in direction, requires steering."
Post a reference that adheres to your definition.