At this point, the observer’s position in the radial dimension r is, for all practical purposes, a function of time. The observer has lost all capability to affect its motion in the r dimension. Any length the observer may have had along the r dimension will be stripped away in the process of spaghettification.
The idea of spaghettification is, if your feet are 3 feet away from the center of the black hole, and your head is 9 feet away, then by the inverse square law your feet are getting pulled by gravity 9x harder than your head is. It’s not that your body gets compressed flat along the radial dimension; rather, you get pulled apart into pieces.
It’s true that, as this process happens, every contiguous piece of you will be a piece where radial distance is mostly the same. But, like… at time A, your pelvis will be one intact piece, and at time B, it’ll split and you’ll have a top half of your pelvis and a bottom half of your pelvis; at time X, all remaining structures are 20 atoms high, and at time Y, they break and now you have twice as many structures that are 10 atoms high. (Making some drastically oversimplifying assumptions here, but that’s the idea.) If you still have an intact piece you can call an “observer” when all surviving pieces are 10 atoms high, just wait until they get yanked apart into “5 atoms high” pieces, and so on. Even when you get down to 1 atom high, where atoms are connected in a row… if some atoms are a nanometer higher than the others, they’ll get ripped away from the others soon. So I don’t think this will work the way you have in mind.
(Also, of course, in this example, if your feet are 3 feet away from the center of the black hole, and you’re getting pulled strongly enough to get pulled apart, then you’ll reach the singularity in a fraction of a second, so you wouldn’t be living for very long. Meanwhile, if you’re entering the event horizon of an enormous black hole, zillions of miles in diameter, then the tidal forces at that point are tiny [your feet are pulled only microscopically harder than your head], and there would be no perceptible spaghettificiation.)
I think the idea expressed in the post is for our entire observable universe to be a remnant of such spaghettificiation in higher dimensions, with basically no thickness along the direction leading to the singularity remaining. So whatever higher dimensional bound structure the local quantum fields may or may not usually be arranged in is (mostly) gone, and the merely 3+1 dimensional structures of atoms and pelvises we are used to are the result.
I wouldn’t know off the top of my head if you can make this story mathematically self-consistent or not.
The idea of spaghettification is, if your feet are 3 feet away from the center of the black hole, and your head is 9 feet away, then by the inverse square law your feet are getting pulled by gravity 9x harder than your head is. It’s not that your body gets compressed flat along the radial dimension; rather, you get pulled apart into pieces.
It’s true that, as this process happens, every contiguous piece of you will be a piece where radial distance is mostly the same. But, like… at time A, your pelvis will be one intact piece, and at time B, it’ll split and you’ll have a top half of your pelvis and a bottom half of your pelvis; at time X, all remaining structures are 20 atoms high, and at time Y, they break and now you have twice as many structures that are 10 atoms high. (Making some drastically oversimplifying assumptions here, but that’s the idea.) If you still have an intact piece you can call an “observer” when all surviving pieces are 10 atoms high, just wait until they get yanked apart into “5 atoms high” pieces, and so on. Even when you get down to 1 atom high, where atoms are connected in a row… if some atoms are a nanometer higher than the others, they’ll get ripped away from the others soon. So I don’t think this will work the way you have in mind.
(Also, of course, in this example, if your feet are 3 feet away from the center of the black hole, and you’re getting pulled strongly enough to get pulled apart, then you’ll reach the singularity in a fraction of a second, so you wouldn’t be living for very long. Meanwhile, if you’re entering the event horizon of an enormous black hole, zillions of miles in diameter, then the tidal forces at that point are tiny [your feet are pulled only microscopically harder than your head], and there would be no perceptible spaghettificiation.)
I think the idea expressed in the post is for our entire observable universe to be a remnant of such spaghettificiation in higher dimensions, with basically no thickness along the direction leading to the singularity remaining. So whatever higher dimensional bound structure the local quantum fields may or may not usually be arranged in is (mostly) gone, and the merely 3+1 dimensional structures of atoms and pelvises we are used to are the result.
I wouldn’t know off the top of my head if you can make this story mathematically self-consistent or not.
Yeah, that’s the idea I was going for.