September 25th, 2024

Operator algebras and the substructure of space and time

Researchers are revisiting John von Neumann's 1930s work to explore space-time and black holes, utilizing holography and the AdS/CFT correspondence, while addressing unresolved questions about singularities and gravity.

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Operator algebras and the substructure of space and time

In recent developments in theoretical physics, researchers are revisiting the work of John von Neumann from the 1930s to better understand the nature of space-time, particularly in the context of black holes and quantum gravity. Von Neumann's framework of operator algebras, initially overlooked, is now being recognized for its potential to describe the complex quantum structures that may underlie the fabric of space-time. The concept of holography, particularly the AdS/CFT correspondence, suggests that our three-dimensional universe could be represented as a two-dimensional boundary of quantum fields. This duality allows physicists to explore the emergence of space-time from quantum entities, providing insights into extreme conditions where traditional physics breaks down. Despite the promise of these theories, significant questions remain, particularly regarding the behavior of space-time at singularities within black holes. Researchers are striving to develop mathematical models that could simulate these phenomena, potentially using future quantum computers. The ongoing exploration of von Neumann's ideas is crucial for advancing our understanding of the universe's fundamental structure and the interplay between gravity and quantum mechanics.

- Researchers are revisiting John von Neumann's 1930s work to understand space-time and black holes.

- The AdS/CFT correspondence suggests a duality between quantum fields and the fabric of space-time.

- Holography may provide insights into the emergence of space-time from quantum entities.

- Significant questions remain about the behavior of space-time at black hole singularities.

- Future quantum computers may help simulate complex phenomena related to space-time and gravity.

Link Icon 4 comments
By @trhway - 7 months
>Physicists have taken this to mean that the contorted space-time fabric of a black hole may be made of atomlike parts, just like a gas.

as far as i see the "singularity" at the center of black hole is just a mathematical artifact of the smoothness of the GR. And while that smoothness is a valid approximation at macro scales, by all the accounts the world isn't that smooth at the micro scales, and similarly to white dwarfs and neutron stars it seems naturally for a black hole core to be some next step of degenerate matter, something like quark-gluon soup.

By @galacticaactual - 7 months
In the article they describe a 2D wrapper that can represent 3D objects in the 3D bulk space between it with mathematical equivalence. Can we not extrapolate this to mean that it is possible our 3D universe encapsulates a 4D bulk space?
By @twic - 7 months
Is any of this experimentally falsifiable? Or rather, where downstream of this does something experimentally falsifiable pop out?
By @ddtaylor - 7 months
I think this should be retitled to specify it's a story about the key players or the history of this subject, not so much subject matter itself.

Often I click something related to Quanta and it seems to occupy a very strange target audience. It starts with a title or link that seems lures a reader with in-depth knowledge of some subjects. I think most readers see that title and get excited about all kinds of things like a simplified introduction to subjects they weren't able to grasp in the past or someones unique perspective that might help them better understand the topic.

Instead the article is actually the story and history of some people involved. That's an interesting article as well, but I think it's a different title.