I feel I don't have enough background information to understand this article.
>...space-time in the interior of the [anti-de Sitter] universe is a projection that emerges from entangled quantum particles living on its outer boundary
A projection? How would this differ if the quantum particles on the outside were not entangled?
>holographic “emergence” of space-time works like a quantum error-correcting code.
holographic in what way? and how is this similar to error correcting code?
>quantum error correction explains how space-time achieves its “intrinsic robustness,”
what is an example of this robustness in space-time?
>...error-correcting codes can recover the information from slightly more than half of your physical qubits, even if the rest are corrupted. This fact that hinted quantum error correction might be related to the way anti-de Sitter space-time arises from quantum entanglement.
how does the effectiveness of error correcting codes, being able to recover information despite 50% corruption, explain space-time?
if anyone could point me in the right direction, I'd really appreciate it. I find this interesting and important but am not smart enough to comprehend it.
Here's a talk given by Patrick Hayden, one of the guys quoted in the article, about related topics. It was to an IEEE Information Theory chapter, so may use a bit more information theoretic terminology than you're used to. Even so, I think it is very accessible.
In quantum physics and cosmology, "holographic" (and "projection", in this context) are related to the holographic principle, which is kind of like a Stokes' theorem for information-- it says that specifying the state of the universe on the boundary of a manifold is sufficient to completely specify the state inside.
If someone's read the full paper, maybe they can explain the other things-- this article is a bit too vague.
" the universe on the boundary of a manifold is sufficient to completely specify the state inside " made it click for me if I understood you right. Makes me think of cellular automata: the state of the whole grid can be specified by the information contained in the first row + the laws of physics on the grid (game of life, etc) - is that kind of like the "boundary" we're talking about here?
Maybe a better analogy would be: If you know the complete state of the universe at one moment in time, you know the state at all moments in time, because you can run the laws of physics (forward or backward) and compute the state at some other time without adding information. (In physics, this arises from a property called "unitarity").
The holographic principle says you can do the same thing, but by knowing the state of the universe on a boundary that encompasses the whole system (when you parameterize spacetime in a convenient way), as opposed to by knowing the state everywhere at one moment.
You still have to know the state of the whole boundary (which is huge) but the important part is that the boundary is one fewer dimension than the interior, which (apparently) makes the math easier.
>...space-time in the interior of the [anti-de Sitter] universe is a projection that emerges from entangled quantum particles living on its outer boundary
A projection? How would this differ if the quantum particles on the outside were not entangled?
>holographic “emergence” of space-time works like a quantum error-correcting code.
holographic in what way? and how is this similar to error correcting code?
>quantum error correction explains how space-time achieves its “intrinsic robustness,”
what is an example of this robustness in space-time?
>...error-correcting codes can recover the information from slightly more than half of your physical qubits, even if the rest are corrupted. This fact that hinted quantum error correction might be related to the way anti-de Sitter space-time arises from quantum entanglement.
how does the effectiveness of error correcting codes, being able to recover information despite 50% corruption, explain space-time?
if anyone could point me in the right direction, I'd really appreciate it. I find this interesting and important but am not smart enough to comprehend it.