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I am so glad to have found this forum. I've always had an interest in astrophysics, cosmology, SR/GR, etc, and no place to ask questions. I'm an engineer and was once a member of Mensa (I only left the organization because I thought other members were crazy. Sorry). So although I'm an amateur at this stuff, I hope my questions are worthy of your consideration.

I've been reading lately a lot about black holes, and something that caught my interest, is the interpretation of the Schwarzchild metric which saysrbecomes a time-like dimension for an infalling observer past the event horizon. I read somewhere else that the Schwarzchild metric was originally only thought to be valid outside the event horizon, but later work using different coordinates was able to connect the outside to the inside, so I assume the time-like characteristics ofrinside the radius are still a worthwhile area of scientific investigation (note, to those who believe that science has no business investigating things that are outside the observable universe, as the inside of blackholes is to our frame of reference, I retort: if we don't try to understand what the inside of a black hole looks like, we'll never be able to assert that we are not inside one).

So, that leads me to a few questions...

What happens to the other time dimension when r becomes time-like? Does space still have 3 dimensions? (assume the frame of reference is either an invincible infalling observer, or, intelligent life that might evolve locally after the crossing of the event horizon)

If so: Does that mean one of the finite space dimensions suddenly become infinite by taking over the old time dimension? For an infalling observer (invincible, or intelligent life evolved after crossing of the horizon), would this expansion of finite space to infinite space be mathematically distinguishable from the big bang as experienced in our current universe?

Does spaghettification in the spatial dimensions stop at some radius when the bulk of the gravitational pull is in the time-like direction? Mathematically speaking is this any different from our current universe, where we're all spaghettified in the time dimension?

Again, assuming a time-like r... when more matter arrives in a black hole, does it arrive in the past relative to observers that are already inside? If a constantly changing past affects the future inside the black-hole, that would have interesting anthropic implications, no?

Thank you for your patience. I've been looking for this forum all my life :-)

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# Spatial dimensions inside a black hole

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