Addendum:
If L was imaginary, that means motion of the light clock, and consequently its observer, in an imaginary direction.
What could that mean?
Perhaps a fourth spatial dimension?
Of course, you'd have to go forth and back between the fourth dimension and our third otherwise I suppose you'd be trapped forever in some higher dimensional plane and that doesn't sound pleasant.
How would that work?
It's quite convoluted.
I'll try to draw it, beginning with a four-dimensional space-time graph (or at least my best attempt at it).
The real issue with people when they try to make things 4-dimensionally is that they concern over continuity. At integer-time intervals like what I'm making, it becomes simple, I guess.
If L was imaginary, that means motion of the light clock, and consequently its observer, in an imaginary direction.
What could that mean?
Perhaps a fourth spatial dimension?
Of course, you'd have to go forth and back between the fourth dimension and our third otherwise I suppose you'd be trapped forever in some higher dimensional plane and that doesn't sound pleasant.
How would that work?
It's quite convoluted.
I'll try to draw it, beginning with a four-dimensional space-time graph (or at least my best attempt at it).
The real issue with people when they try to make things 4-dimensionally is that they concern over continuity. At integer-time intervals like what I'm making, it becomes simple, I guess.
The spacetime diagram gives the relevant details for 3-dimensional space plus a time dimension. For simplicity, assume that each progressing XYZ-axis to the right signifies an advance in the time dimension by one tick (or whatever they are called), known to measure a year per tick. Each tick on the XYZ-axis is an astronomical unit.
Now, the axes for time and space are slightly modified when something is in motion. In order to address that, the diagram will start to get very messy. These are addressed when there are multiple observers.
Well there are multiple observers. The guy who's freaking out over how fast you are and you.
For these five-dimensional graphs, note that for the freaked out guy, their i-coordinate is always 0. However, you, will have an i-coordinate of 0, then 1, then 0 again to simplify it.
However that will take, heh, time, so I'm gonna rest.
Don't take this seriously.
I wont
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