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Blockchain technology has set off a wave of decentralization in the world since its birth. The trust system constructed by blockchain technology based on cryptography algorithm and computing power provides a practical and powerful solution…

Computational Engineering, Finance, and Science · Computer Science 2025-05-08 Pengfei Gao , Dechao Kong , Xiaoqi Li

Blockchain is a type of decentralized distributed database. Unlike traditional relational database management systems, it does not require management or maintenance by a third party. All data management and update processes are open and…

Cryptography and Security · Computer Science 2025-05-14 Jiaqi Huang , Yuanzheng Niu , Xiaoqi Li , Zongwei Li

We study the effect of a probe string to black hole complexity according to the CA (Complexity equals Action) conjecture. Our system contains a particle moving on the boundary of black hole spacetime. In the dual description this…

High Energy Physics - Theory · Physics 2019-01-02 Koichi Nagasaki

In recent years, hype surrounding the proliferation of blockchain-based technology has been significant. Apart from the creation of bitcoin and other cryptocurrencies, it has been difficult to determine what practical utility might lie in…

Computers and Society · Computer Science 2017-10-12 Morgan C. Benton , Nicole M. Radziwill

Blockchains have gained substantial attention from academia and industry for their ability to facilitate decentralized trust and communications. However, the rapid progress of quantum computing poses a significant threat to the security of…

Cryptography and Security · Computer Science 2024-09-04 Zebo Yang , Haneen Alfauri , Behrooz Farkiani , Raj Jain , Roberto Di Pietro , Aiman Erbad

This paper is concerned with several not-quantum aspects of black holes, with emphasis on theoretical and mathematical issues related to numerical modeling of black hole space-times. Part of the material has a review character, but some new…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Piotr T. Chrusciel

Bitcoin is a peer-to-peer payment system proposed by Nakamoto in 2008. Based on the Nakamoto consensus, Bagaria, Kannan, Tse, Fanti, and Viswanath proposed the Prism protocol in 2018 and showed that it achieves near-optimal blockchain…

Cryptography and Security · Computer Science 2020-04-27 Jing Li , Dongning Guo

Black hole complementarity requires that the interior of a black hole be represented by the same degrees of freedom that describe its exterior. Entanglement plays a crucial role in the reconstruction of the interior degrees of freedom. This…

High Energy Physics - Theory · Physics 2012-10-09 Leonard Susskind

Almost all of the entropy in the universe is in the form of Bekenstein--Hawking (BH) entropy of super-massive black holes. This entropy, if it satisfies Boltzmann's equation $S=\log{\cal N}$, hence represents almost all the accessible phase…

General Relativity and Quantum Cosmology · Physics 2021-05-18 Erik Aurell , Michał Eckstein , Paweł Horodecki

Recently, the complexity equals any gravitational observable conjecture has been proposed in [Phys. Rev. Lett. 128, 081602 (2022)], which is an extension of the complexity equals volume proposal. These gravitational observables are referred…

High Energy Physics - Theory · Physics 2025-01-03 Hong-Yue Jiang , Meng-Ting Wang , Yu-Xiao Liu

It is no exaggeration to say that since the introduction of Bitcoin, blockchains have become a disruptive technology that has shaken the world. However, the rising popularity of the paradigm has led to a flurry of proposals addressing…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-23 Christopher Natoli , Jiangshan Yu , Vincent Gramoli , Paulo Esteves-Verissimo

In this work some proposals for black hole entropy interpretation are exposed and investigated. In particular I will firstly consider the so called ``entanglement entropy" interpretation, in the framework of the brick wall model, and the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Liberati

Blockchains have recently generated explosive interest from both academia and industry, with many proposed applications. But descriptions of many these proposals are more visionary projections than realizable proposals, and even basic…

Computers and Society · Computer Science 2018-03-05 Ephraim Feig

We propose a new link between entropy and area: an eternal black hole with an ER bridge with cross-section $A$ can carry a macroscopic amount of quantum information, or be in a mixed state, with entropy bounded by $S \leq A/4G_N$. We…

High Energy Physics - Theory · Physics 2020-04-02 Herman Verlinde

Ethereum represents new innovation in the fields of cryptocurrency which has become relatively stagnate, promising many things, including an entire programming language and development enviroment built into the network. However the current…

Cryptography and Security · Computer Science 2016-12-15 Abrahim Ladha , Sharbani Pandit , Sanya Ralhan

This chapter gives an overview of the quantum aspects of black holes, focusing on the black hole information problem, the counting of black hole entropy in string theory, and the emergence of spacetime in holography. It is aimed at a broad…

General Relativity and Quantum Cosmology · Physics 2023-04-21 Daniel Harlow

We review in a pedagogical fashion the 3+1-split which serves to put Einstein's equations into the form of a dynamical system with constraints. We then discuss the constraint equations under the simplifying assumption of time-symmetry.…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Domenico Giulini

It is not known what the limitations are on using quantum computation to speed up classical computation. An example would be the power to speed up PSPACE-complete computations. It is also not known what the limitations are on the duration…

High Energy Physics - Theory · Physics 2018-02-08 Leonard Susskind

After recalling the definition of black holes, and reviewing their energetics and their classical thermodynamics, one expounds the conjecture of Bekenstein, attributing an entropy to black holes, and the calculation by Hawking of the…

High Energy Physics - Theory · Physics 2015-06-26 Thibault Damour

General Relativity predicts the existence of black-holes. Access to the complete space-time manifold is required to describe the black-hole. This feature necessitates that black-hole dynamics is specified by future or teleological boundary…

General Relativity and Quantum Cosmology · Physics 2018-10-16 Swastik Bhattacharya , S. Shankaranarayanan
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