Blockchain Papers

Ayaz Saadallah Abdelqader

This research presents a comprehensive solution and an attempt to prove the validity of the Collatz Conjecture, also known as the "3n + 1 problem," which has remained one of the most prominent open mathematical problems since 1937. The research presents two integrated methods for proving convergence, using advanced mathematical frameworks: 1. Summary of the First Solution Method (ملخص طريقة الحل الأولى) This method relies on integrating dynamical analysis, Hyperbolic Geometry, and p-adic number spaces. The study concluded by proving the following: * For every positive integer n, the repeated application of the Collatz function leads to the number 1. * There are no non-trivial periodic loops. * The number of steps required for convergence is O(\log^2 n). The proof is based on constructing a group of Contractive Transformations on a Hyperbolic Manifold, using a decreasing fractional energy function, and spectral analysis in the Z_2 space. 2. Summary of the Second Solution Method (ملخص طريقة الحل الثانية) This method offers a solution through a multidisciplinary framework that combines number theory, Topological Geometry, and Quantum Mechanics. Three essential pillars were developed to support the proof: * A Hybrid Energy Function. * An 8-Dimensional Topological Manifold. * A Quantum-Mathematical Verification System based on a quantum operator and a Zero-Knowledge Proof (ZKP) protocol. The researcher indicates that the entire content of the research was generated solely by Artificial Intelligence (AI) models under his supervision, emphasizing that these solutions are theoretical and derive their strength from a cognitive key discovered by the researcher, which enabled the AI to produce new scientific theories and solutions.

Bujons Lario, Pau Frederic

In 2017, a study on the market of cryptocurrencies was done by a group of researchers (including the director of this thesis), getting the results based on the data obtained from the moment that the Bitcoin was introduced into the market, and was the only crypto-currency that existed, until the moment that the study began. Now, five years after, this market has suffered a bunch of different changes and faced ups and downs. This thesis has been done with the objective of confirming that the outcomes obtained from the previous study are still useful to analyze the new market or if we have to approach the new data in a different way, in case the market does not follow the patterns concluded in 2017.

Najihah Rusli, Mohamad Fadli Zolkipli

The advantages and disadvantages of blockchain technology in cryptocurrency attacks will be explained in this article. Digital currency has been widely used around the world. The soaring value of digital currencies has also led to an increase in the use of cryptocurrency. Cryptocurrency is a form of payment that can be exchanged online for goods and services. The increasingly popular use of cryptocurrency around the world is causing criminals, and hackers are starting to attack cryptocurrency on an ongoing basis. With the advent of blockchain technology, it managed to save the digital currency system with the availability of a decentralized database. Each block has many transactions, and for new transactions will be recorded and added to a decentralized database with a cryptographic signature that does not change making it difficult for abuse and theft. The authors have examined the strengths and weaknesses of the blockchain in cryptocurrency attacks. As a result, the authors support that this blockchain technology can help deal with cryptocurrency attacks that occur.