Pictured here is a real estate project under construction in Huai'an, China, on Jan. 21, 2024.Nurphoto | Nurphoto | Getty ImagesBEIJING — Demand for...
The current USDCAD timeframe shows the internal structure of a large correction pattern, similar to a cycle triple zigzag w-x-y-x-z.
The final wave z takes...
Information-theoretic ideas have provided numerous insights in the progress of fundamental physics, especially in our pursuit of quantum gravity. In particular, the holographic entanglement entropy is a very useful tool in studying AdS/CFT, and its efficacy is manifested in the recent black hole page curve calculation. On the other hand, the one-shot information-theoretic entropies, such as the smooth min/max-entropies, are less discussed in AdS/CFT. They are however more fundamental entropy measures from the quantum information perspective and should also play pivotal roles in holography. We combine the technical methods from both quantum information and quantum gravity to put this idea on firm grounds. In particular, we study the quantum extremal surface (QES) prescription that was recently revised to highlight the significance of one-shot entropies in characterizing the QES phase transition. Motivated by the asymptotic equipartition property (AEP), we derive the refined quantum extremal surface prescription for fixed-area states via a novel AEP replica trick, demonstrating the synergy between quantum information and quantum gravity. We further prove that, when restricted to pure bulk marginal states, such corrections do not occur for the higher Rényi entropies of a boundary subregion in fixed-area states, meaning they always have sharp QES transitions. Our path integral derivation suggests that the refinement applies beyond AdS/CFT, and we confirm it in a black hole toy model by showing that the Page curve, for a black hole in a superposition of two radiation stages, receives a large correction that is consistent with the refined QES prescription.
Popular on-chain analyst Willy Woo has lowered his bitcoin price prediction to $200,000 by the end of the year as he believes the flagship cryptocurrency’s upward trajectory has started reducing. Woo’s revised price prediction came while speaking to the founder of on-chain market intelligence firm Glassnode Rafael Schultze-Kraft during the Unchained podcast, as first reported […]
Grayscale Ethereum Trust (ETHE), the institutional crypto investment fund for the second-largest cryptocurrency registered a negative 14.3% premium reaching its lowest since listing. Grayscale being the world’s largest crypto asset manager offers a range of crypto-based trust funds to invest, in absence of a regulated ETF in the United States. These private investment funds have
TL;DR Breakdown Ethereum traded sideways yesterday. ETH supported by $1,650. Next resistance at $1,725. Today’s Ethereum price prediction is bullish as the market found support around $1,650 after strong bearish pressure on Monday. Therefore, we expect Ethereum to push higher later today and retest resistance at the $1,725 mark. Cryptocurrency heat map. Source: Coin360 The […]
