Ok, so last time I learned that inside a black hole time and space switch positions. Which makes sense in 2d, which is to say in t and r, far as my limited understading goes.
But it just occured to me to try that in THREE space dimensions, and, well, I kinda went cross eyed trying to figure how to swap 1 coordinate with 3 coordinates. Not even Indiana Jones had to pull THAT kinda sleight of hand ;)
Or basically, if I stick to polar coordinates, so I can swap t and r, then what happens to the two angular coordinates? Is there some formula for those? I would expect so.
So, err, can anyone explain to me how that works, please?
But it just occured to me to try that in THREE space dimensions, and, well, I kinda went cross eyed trying to figure how to swap 1 coordinate with 3 coordinates. Not even Indiana Jones had to pull THAT kinda sleight of hand ;)
Or basically, if I stick to polar coordinates, so I can swap t and r, then what happens to the two angular coordinates? Is there some formula for those? I would expect so.
So, err, can anyone explain to me how that works, please?
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