“The holographic duals are ''bubbling wormhole'' geometries: multi-covers of AdS$_5$ $ imes S^5$ whose conformal boundary consists of multiple four-spheres intersecting on a common circle.”

“The paper proves that for certain values of the circle diameter, the number of touching pairs is less than that from a specific spiral construction, which is conjectured to be extremal.”

“The paper proves that a cutoff phenomenon holds independently of the transition probabilities, subject only to the sub-Gaussian assumption and a minimal aperiodicity hypothesis.”

“The paper demonstrates how the Geometric View organizes quantum-mechanical representations and dualities in geometric terms.”

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“Doesn't this break the circle of money there is? Does it create a race between Openai trying to make money (not to fall in even more huge debt) and bubble that is wanting to burst?”

“The chips that determine the right to decide are no longer in the hands of Silicon Valley.”

“The article is sourced from ArXiv, indicating it's a pre-print publication likely targeting a specialized audience.”

“The article's context indicates it's a research paper on ArXiv.”

“The article doesn't contain a direct quote.”