That doesn't mean that he actually crosses it from our reference frame. Relativity is all about understanding that time is relative, that applies here as well, except that there is no connection between the two reference frame unlike regular space, so we can't say anything about how time flows inside of a black hole from our perspective.
Basically what I am saying is, you can't say whether the singularity has actually formed, since your reference frame is just as connected to the instant anything fell into the black hole as it is connected to the end state of the singularity. That makes it just as valid to say that things freeze the instant they touch the black hole as to say that they merge with the singularity the instant they touch it, since both are equally valid viewpoints from our perspective.
You’re simply wrong about this.
I studied up to a masters in physics, I've seen the math, I don't believe there is a way to calculate that, there is no way to compare time inside with time outside.
Edit: I'd love to see such a formula if there is one btw, so if you know there is one please link!
When you say "thing", it's more like photons. While thought experiments of a diver falling into a black hole are fun to ponder, nature isn't so gentle.
The corona, tidal forces, magnetic fields--and other factors--would obliterate matter into a stream of subatomic particles and light before crossing the event horizon. So the concept of a "thing" moving inside a black hole is likely misguided.
It’s been called one of the most extreme physical environments in the universe.
Strong magnetic fields threading the inner accretion disk extend out of it,
creating a tenuous, turbulent, billion-degree cloud. Particles in the corona
orbit the black hole at velocities approaching the speed of light. It’s a source
of X-rays with much higher energies than those emanating from the accretion
disk, but astronomers are still trying to figure out its extent, shape, and
other characteristics. [0]
NASA provides a fantastic overview here [0].A few resources to check out: Sean Carrol, PBS Space Time, Ask a Spaceman, and Why this Universe are all great resources--and frequently do deep dives into this topic.
Regardless, its important to keep in mind that this is valid _only_ from our perspective, that from the perspective of infalling matter something _real_ happens, and that real thing that happens is probably not completely disconnected from rules we perceived in our own universe.
Throwing hands up and saying "we cant tell whats inside, so why are we even arguing about what we think happens there" is certainly a way to look at things if your only motivation is to find out whats happening inside, but that is not all we are after. We are trying to use all we currently know to reason about how the inside might look, any possibility, and try to work out backwards what unforseen implications it might have for our reality.
We are not saying that inside blackhole is sigularity, we are saying that, given our understanding of how outside looks, there might be a singularity inside. We also know the math that yields us this singularity is probably wrong (infinite), and actively are trying to figure out whats wrong with it. We are using this imaginated realoty to work backwards what we might have gotten wrong, and perhaps in this case its not even the roght way of thinking to solve this mystery; it just worked for us before, so we trying.
If you figure out whats actually happening there, and find some way to connect it to rules of our universe, everyone will cheer. If its by first discovering new effect in our universe that would elegantly fit into blackholes, or in the stroke of genius come up with a pure theory enlighting some real observations, nobody would care.
Its just when we throw a mass, it keeps going. It makes more sense to think that it goes the same inside blackhole, but maybe not. We just dont know..
You wouldn't feel going through the event horizon of a large black hole, so I see no reason why that mass would somehow just collapse into a singularity.
Also the math for a black hole states that when the black holes density reaches below the density of the universe, the black holes event horizon will expand and encompass the whole universe, meaning matter doesn't even have to fall into the black hole, the black hole could just grow into the matter and then you don't even have a velocity you just have matter entering the black hole.
We know the two above are how the math for black holes work, none of those produce likely singularities, because there is no force compressing that into a singularity. So if singularities exists in black holes, it would just be some of them, and not all parts of the black hole would have to be a part of that singularity.
>when blackhole density falls below the density of the universe
Which one? The outside one? Density of whole universe? Its local surroundings? Are you counting unknown pressures of stuff we, for pure lack of understanding what the hell it even is, call dark energy/mass?
The "blackhole less dense than the rest of the universe" seem like just another mathematical artefact that couldnt, for any reason, exist in real world. Not saying thinking about it is wrong, but imho more could be gained by thinking "well it surely cant exist, so what mechanism are there that stops this", instead of "this math says that, so lets subdue our whole theory to it". Very same scenario as the singularity inside.
Just because math works for something doesnt mean it is like that. In science history we had plenty of equations that worked, until we discovered some edge case where it suddenly didnt. I think its safe to bet interiors of blackholes, or blackholes encompassing whole universe, are prime candidates for such edge cases where our pressumed math models just break down. The fact that our current math models are returning infinities, we are generally accepting that to be the case.
Well, the universe Schwarzschild radius is massively larger than the universe itself, so math says we live in a black hole. It is true this might be a mathematical artifact, but it could also be how it actually works and the observations we make in our universe and about big bang is how a black hole looks on the inside.
I don't think you should just assume the math is wrong here and throw away those observations of the inside of a black hole. Sure you should be open to that being wrong, but at least to me that is far more believable and interesting to study, then you can try to connect what we observed about the big bang with a black hole etc.
If I go through enough of these forum discussions maybe I develop this long enough, and then maybe I'll take a serious attempt at solving the math to combine the two, since nobody else will do that. I was called a genius by both my physics and math professors, so it is possible I can solve it since I have good intuition for physics and good skills at math, most people who work in physics just have one of those, even though likely I'll fail, but it would be fun to try.
What makes me believe such an attempt could work is that it could lead to a different math for gravity and black holes at small scales, and thus lead to a unified theory of QFT and GR. If I manage to do that then I could convince physicists to adopt the new interpretation of GR. Current attempts of unifying those two has started from the QFT side and tried to incorporate current GR theories, but they all failed. But I haven't seen many try to attempt that from the GR side and unify that with QFT, so maybe that would yield some results.
Anyway, I don't think that professional physicists will solve this, since they are too occupied focusing on publishable results rather than solving the core issue. What I write here isn't publishable, so no physicists would even think about working on it.
It is how GR was invented by Einstein even though he wasn't a physics researcher, sometimes you need a big jump done by an outsider. GR wasn't on anyone's radar when Einstein suggested it, likely it would never have been discovered without Einstein, or at least take centuries. The gravity formula you get from GR doesn't need space time distortions to reproduce, so theoretical physicists would just update the gravity formula to match observations without creating a new interpretation of what that means.
Newtons gravity formula doesn't come with an interpretation, updating it to match new data is exactly what they did with dark matter and dark energy since it is just a formula, so I see no reason why gravity would be any different without Einstein's GR. Black holes would just be a part of that dark matter.
Edit: Anyway, for me it is fun to argue on forums, so that is the best way for me to think and develop theories. Typically I don't really believe what I say, so part of my posts is to find evidence for it and try to convince myself that what I say is true. So I refine things quite a bit in every discussion.
This would totally change the math around the event horizons, since then space doesn't need to be connected between the interior and exterior of the hole. The outside of the hole still would work the same, but as the hole bends space to engulf objects rather than objects moving through space to enter the hole you get a very different way to look at the interior.
Not sure how the math for that would work, but it is fun to think about. Also this is obviously true, for any particle that point would happen before it enters the current radius, so the hole expands out, even if it is by an extremely small amount that is still enough to change the math around the event horizon singularity.
Edit: The main thing this changes is that now the particle doesn't have to accelerate to the speed of light as it passes the event horizon, as the event horizon expands to cover it rather than it accelerating through. As you can understand that is a massive change, it means that space inside the black hole could remain sane without breaking GR. The infinite time dilation you get at those gravity levels is why the math for space and time inside of black holes is so strange, remove that and you can get back to sanity.
The problem to solve then is to calculate what happens at the edge of such a universe, and try to match that with what happens at the edge of a black hole, since those two would be the two sides.
To unify that with QFT you'd have to include the particle collapse (or entanglement if you want to use the many worlds wording), where the quantum field would collapse to where the particle suddenly is inside the black hole instead of outside. I have long theorized that there is no way to unify the theories without using quantum collapses, so black holes could engulf particles via quantum field collapses only.
The math for such collapses isn't fully established though, so it would need to have more theories on the quantum side as well. But at least that means nobody has developed a theory like this yet.
The main calculation would be to calculate the probability of a particle collapsing into the black hole over time, by calculating how large part of the particle field is inside the critical area were it would be inside the new black hole radius. The particle and the black hole would get entangled for a bit where it is both inside and outside the black hole at the same time, and then the field collapses and it is fully inside.
I think that can actually work! Then the black holes event horizon is a natural quantum effect, which could potentially provide the missing link between the two.
This specifically is an incorrect understanding. All events happen in all reference frames. There are no situations where an event that happens in one reference frame fails to happen in another. At worst (or best, depending on how you view it) we can disagree about the _order_ of events, but not which events actually happened.