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2024-08-03 00:34:30

MachuPikacchu on Nostr: On black hole singularities. This is a long one! My background is in applied math and ...

On black hole singularities. This is a long one!

My background is in applied math and computer science not physics! I’m certain I’m missing something here. This is just for fun.

During neutron star core collapse, the quark gluon plasma must be, as far as we know, locally constrained by the Uncertainty principle. As the core collapses the position of other particles is further constrained while being accelerated and therefore have higher uncertainty in momentum.

However, the uncertainty in momentum is bounded above by some finite multiple of c. Momentum can’t grow unbounded because that implies infinite energy. Acceleration is limited by the energy available locally which is that of itself, neighboring particles, and local vacuum energy: all finite.

How then can the quark gluon plasma degenerate into a singularity of infinitesimal size? Maybe they “fuse” and become a single “particle” (in quotes because particles are fuzzy objects to begin with) of nonzero “volume”? Maybe this is what the holographic principle is saying but I can’t make any sense of AdS-CFT correspondence 😩.

Once you have a single particle there’s no gravitational attraction to continue the collapse. Of course from afar other massive objects continue to feel gravitational attraction but locally you have a single particle.

Some might say “the uncertainty principle breaks down at these extremes. Our model isn’t valid in this regime” and fair enough! However, I would argue that that’s an artifact of the model (the commutator of specific linear operators on a Hilbert space). Maybe spacetime isn’t a complete vector space but at our observable scale it approximates one.

The uncertainty principle is just an approximation of what happens in reality. I’m not aware of any experiments proving it breaks down at the Planck scale. I argue that whatever quirk of nature that causes the uncertainty principle is the very thing that prevents black hole singularities from forming.

#physics #blackHoles #gravity
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