I am designing a magic system that allows for some degree of both time travelling and teleporting. Although it is a magic system, I want it to be as scientific as possible because it will be used in a heavily science-driven magic-considered-unreal world set.
So far I have the following structure: there are three separate planes with different types of energy, but they are connected (I imagine three balls connected by string so as to make a triangle shape) and moving. Time is their trajectory and its axis goes through the centre of the triangle shape.
The tricky part comes next: the three balls move at different speeds, though, so they should not be going in a straight line parallel to their axis, but more behaving like a sort of spiral in a tri-helix. The non-linear movement will allow for moments when one ball-plane crosses the past or future path of the other ball-planes which allows for limited time travelling windows.
My questions are:
1) How stable would this hellix be as the "balls" affect each other?
Answer attempt: If ball A moves at speed 1, ball B at speed 2 and ball C at speed 3, then the drag of the first ball would make ball C curve into a circle and this would all look like an airplane spiralling into the ground.
2) How would their movement affect their trajectory?
Answer attempt: If my prediction above is correct, then even the axis would be turned from a straight line into a spiral, perhaps not a circular one but an oval due to additional drag from ball B. At an extreme, the trajectory would actually loop.
3) What algorithm and software could I use to plot this into a visual?
Note: my maths is years behind, but pointed in the right direction I am capable of self-teaching (or paying for a tutor) to fill me in on the required knowledge to pull this through.
The idea is that the balls are always connected. If the 1st goes faster, it pulls the 2nd behind it, and both the 1st and 2nd pull the third ball behind them.
But at the same time, the 3rd ball, which is the slowest, will pull both the first and the second behind, while the 2nd will pull the 1st behind less strongly.
I figured that the conflict of pulling forward and dragging backwards (plus the different speeds and the tringular shape) would set the whole structure girating.