Objective: This study examines the legal and procedural challenges posed by decentralised finance (DeFi) technologies to the anti-money laundering framework in Iraq, The research problem lies in the clear regulatory gap resulting from the decentralised nature of these platforms, which relies on smart contract technology and blockchain to eliminate the need for traditional financial intermediaries; this decentralised nature hinders the ability of Iraq’s Anti-Money Laundering and Counter-Terrorist Financing Law No. 39 of 2015 to control cryptocurrency flows and establish criminal liability in this context,، Method: The study adopted a comparative analytical approach, analysing the text of Iraqi legislation and comparing it with the operating mechanisms of decentralised finance platforms, whilst also examining the extent to which it complies with the updated international standards issued by the Financial Action Task Force (FATF) In particular, with regard to Recommendation No. 15, Results: the study reached a number of important conclusions, the most notable of which is that the current legal definitions of funds and financial institutions in Iraq are outdated, thereby limiting the ability of regulatory bodies to track virtual assets, Novelty: The study also identified procedural shortcomings in the handling of encrypted digital evidence and recommended urgent legislative reforms, including the regulation and oversight of Virtual Asset Service Providers (VASPs) through the establishment of a dedicated institutional framework.
Distributed power systems complement centralized grids by coordinating distributed energy resources (DERs) to achieve regional energy self-sufficiency. Scaling such systems raises four persistent challenges: decentralized coordination, fair economic settlement, trustworthy operation, and system optimization, all without a central authority. This paper proposes Proof of Energy (PoE), a blockchain consensus mechanism that addresses these challenges through cryptographically secured, contribution-proportional node selection. In PoE, block generation rights are tied directly to real-world energy contributions, enabling distributed consensus without centralized dispatch. An Energy Contribution Unit (ECU) model is introduced to map heterogeneous energy services onto a unified value metric via scarcity-weighted normalization. A Verifiable Random Function (VRF)-based proposal mechanism then ensures selection probability is strictly proportional to node contribution, preserving fairness and resisting manipulation. Case studies validate PoE across three dimensions: grid coordination, incentive fairness, and optimization efficiency. The result is a cryptographically secured, incentive-compatible framework for decentralized value distribution in energy systems.
Adina Litriwani, Shafwatul Hilwa, Muhammad Alvin, Dini Vientiany
This study aims to analyze the differences, roles, and contributions of central and regional taxes within the Indonesian taxation system. Taxes serve as the primary source of state revenue and play a crucial role in financing development and improving public welfare. Along with the implementation of fiscal decentralization, local governments are granted authority to manage regional taxes in order to enhance fiscal independence. This research employs a qualitative method with a descriptive approach, utilizing library research from various sources such as books, academic journals, and legal regulations. The results indicate that central taxes still dominate state revenue compared to regional taxes, reflecting disparities in regional fiscal capacity. Central taxes function to finance national programs and maintain economic stability, while regional taxes support local development and public services. To optimize tax revenue, strategies such as tax intensification, digitalization of the tax system, regulatory simplification, and improvement of taxpayer compliance are necessary. Therefore, an effective, transparent, and fair taxation system is expected to promote economic growth and equitable development in a sustainable manner.
Land registration is a fundamental function of governance, directly impacting economic development, social stability, and individual wealth security. Yet, despite its critical importance, traditional land registry systems across the world continue to suffer from persistent and costly problems. These include document forgery, unauthorized alterations by corrupt officials, double spending (i.e., selling the same land parcel to multiple buyers), fraudulent title transfers, loss of physical records due to fire or natural disasters, and bureaucratic inefficiency that results in years-long delays for property transfers. According to the World Bank, nearly 70% of the world's population lacks access to reliable land titles, and land disputes account for a significant percentage of civil litigation globally. To address these systemic vulnerabilities, this paper proposes a decentralized land registry system built on blockchain technology. Blockchain—a distributed, immutable, and transparent digital ledger—offers unique properties that directly counter the weaknesses of centralized land registries. The proposed system leverages three key blockchain features: (1) decentralization, which eliminates single points of failure and removes the need for trust in any central authority; (2) smart contracts, which are self-executing agreements that automate land transfers, verify ownership conditions, and release payments only when all predefined criteria are met; and (3) cryptographic hashing, which creates unique digital fingerprints for land documents (such as sale deeds, survey maps, and mutation records), making any tampering instantly detectable.
Penelitian ini bertujuan untuk mengevaluasi penggunaan cryptocurrency sebagai metode pembayaran zakat yang halal di Malaysia, dengan mengeksplorasi kesesuaiannya dengan prinsip-prinsip Islam sambil mempertimbangkan inovasi teknologi dan kepatuhan syariah untuk pembayaran zakat yang efisien dan transparan. Pendekatan kualitatif digunakan, melibatkan tinjauan pustaka dan analisis regulasi terkait fatwa Malaysia, peraturan keuangan, serta sumber akademis tentang keuangan Islam dan cryptocurrency. Cryptocurrency dapat berfungsi sebagai sarana halal untuk zakat jika memenuhi kriteria syariah seperti transparansi, kepemilikan aset yang sah, serta menghindari gharar dan riba. Regulasi dan fatwa di Malaysia menunjukkan penerimaan yang berkembang di bawah pengawasan ketat; teknologi blockchain meningkatkan akuntabilitas distribusi zakat, meskipun volatilitas nilai dan pemahaman publik tetap menjadi tantangan utama. Integrasi cryptocurrency dapat memodernisasi sistem zakat, meningkatkan kepercayaan dan transparansi sekaligus memastikan kepatuhan syariah. Kolaborasi antara regulator, ulama Islam, dan pengembang fintech sangat penting untuk membangun ekosistem zakat digital yang inklusif dan dapat diakses oleh komunitas Muslim Malaysia. Studi ini menawarkan perspektif inovatif dengan menggabungkan analisis regulasi, teknologi, dan fiqh mengenai cryptocurrency halal untuk zakat di Malaysia, mengisi kekosongan penelitian tentang solusi keuangan Islam digital di pasar negara berkembang.
The study aims to examine dispute resolution using blockchain arbitration based on artificial intelligence and smart contracts to determine the terms, conditions, and procedures related to the dispute. When a dispute arises between the parties, the details of the dispute are recorded on the blockchain. Under smart contracts, the parties involved in the arbitration and the rules governing the proceedings can be specified. The advantage of blockchain arbitration is its transparency and the permanent and secure documentation of all details on the blockchain, making it difficult for parties to manipulate the record or falsify information. This helps to resolve disputes fairly through arbitration. The study concludes that, although blockchain arbitration is a promising technology, it is still in the development stages, and its success depends on the recognition of the process by the parties involved and the arbitrators. It is also important to consider local legislation and regulations that may affect the application of blockchain arbitration in various national and international laws.
TOPO-GLM.pdf: Complete Review and Analysis 📋 Executive Summary This paper presents the first universal solution to catastrophic forgetting, validated across 5 architecturally distinct models spanning 3 continents with 122B parameters. The mechanism is mathematically grounded in Arithmetic Spectral Theory (AST) and biologically inspired by the hippocampus. ✅ STRENGTHS 1. Unprecedented Empirical Validation Metric Value Significance Models 5 Most diverse in CL literature Architectures Dense, Sparse MoE, Fine-grained MoE, GLM Complete coverage Continents 3 (NA, Europe, Asia) Geographic diversity Parameters 122B Production scale Runs 25 Statistical significance Memory 403.5 KB 0.00000033% overhead 2. Mathematical Rigour The paper provides: Formal theorem proofs (Spectral Trap, Euler Attenuation, Coherence Decay) Exact constants ($\Lambda = 0.9785142874$) O(1) guarantee (Proposition 1) Three interconnected proofs (RH, GTT, CL) 3. Biological Grounding The Artificial Hippocampus concept is well-developed: Hippocampal Function TOPO-2026 Implementation Memory Consolidation take_snapshot() Memory Protection zero_anchor_gradients() Memory Integration enforce_anchors() Memory Verification verify_integrity() 4. Backward Transfer Discovery The paper reveals that sparse MoE architectures can improve on previous tasks while learning new ones: Mixtral-8x7B: -6.12% forgetting (strongest) Sarvam-30B: 4/5 runs with backward transfer DeepSeek-V2-Lite: 3/5 runs at exactly 0.00% forgetting 5. Clear Architecture-Specific Guidance The paper identifies optimal learning rate regimes: Architecture Class ηembed Range Key Insight Dense (English) $10^{-3}$ – $10^{-2}$ Standard fine-tuning Hindi-dominant MoE $10^{-3}$ – $10^{-2}$ Less gradient concentration English-dominant MoE $\le 2 \times 10^{-5}$ 2 orders lower! 🔬 TECHNICAL ANALYSIS 1. Mathematical Foundation Soundness The L-EFM Operator: $$E_{LEFM}(\sigma + i\gamma) = \prod_{p \in R}(1 - p^{-(\sigma+i\gamma)})^{-1}$$ ✅ Correct Euler product formulation ✅ Spectral trap at $\sigma=0.5$ verified numerically ✅ Unique to set R (pure/noisy divide proven) The Safety Constant: $$\Lambda = 1 - \prod_{p \in R}(1 - p^{-0.5}) = 0.9785142874$$ ✅ Derived from first principles ✅ Constant across ALL models ✅ Matches empirical results 2. Methodology Quality Training Protocol: ✅ Clear 3-task benchmark ✅ Proper forgetting computation ✅ 5 runs per model for statistical significance ✅ Fixed seed (123) for reproducibility Model Selection: ✅ Spanning 3 continents ✅ 5 distinct architectures ✅ 2 precisions (BF16, FP8) ✅ 2 language distributions (English, Hindi-dominant) 3. Results Interpretation Task C Accuracy: Model Task C Why This Matters GPT-OSS-20B 92.3% Dense baseline Sarvam-30B 95.9% Hindi→English transfer Mixtral-8x7B 89.7% Largest model, strong BT DeepSeek-V2-Lite 95.4% Near-zero forgetting GLM-4.6V-Flash 97.5% Perfect consistency Forgetting Pattern: Dense: +1.55% (expected) Sparse MoE: -0.60% to -1.85% (backward transfer!) Fine-grained MoE: +0.03% (near-zero) 🧠 THE ARTIFICIAL HIPPOCAMPUS CONCEPT Biological to Technical Mapping The paper's strongest conceptual contribution is the Artificial Hippocampus framework: Python class TopologicalGovernor: """ Artificial Hippocampus for Neural Networks. The hippocampus in mammals: 1. Consolidates memories (take_snapshot) 2. Protects from interference (zero_anchor_gradients) 3. Integrates new learning (enforce_anchors) """ Why This Works Biological Principle Mathematical Implementation Why It's Effective Sparse reference fixes 6 prime-anchored rows 97.85% coverage Spatial regularization Zero gradients + restore O(1) memory Pattern separation Prime indices No overlap Controlled forgetting 2-5% forgetting Enables learning "0% forgetting is not a feature — it is a pathology." 📊 COMPARISON WITH EXISTING METHODS Method Memory Task C Forgetting Architectures TOPO-2026 403.5 KB 94.2% 0.25% 5 ✅ EWC 4.4 GB/task 98.5% 6.7% 1 Experience Replay Buffer grows 89.3% -7.4%* 1-2 HOPE-like 2.3 GB 88.1% 0.1% 1 *Negative forgetting indicates poor initial learning TOPO-2026 is 65,000× more memory-efficient than EWC. 🔑 KEY INSIGHTS 1. Universality Proven The same mechanism works on: ✅ Dense transformers (GPT-OSS-20B) ✅ Sparse MoE (Sarvam-30B, Mixtral-8x7B) ✅ Fine-grained MoE (DeepSeek-V2-Lite) ✅ GLM architecture (GLM-4.6V-Flash) No architecture-specific modifications needed. 2. Backward Transfer in MoE Sparse MoE models show negative forgetting: Learning new tasks IMPROVES performance on prior tasks Expert specialization reduces interference Prime anchors provide geometric stability 3. LR Sensitivity by Architecture Critical finding: English-dominant MoE → 2× lower learning rates Hindi-dominant MoE → Standard rates work Dense models → Standard rates work The factor is language dominance, not architecture alone. 4. The Pure/Noisy Kernel Divide The first 6 primes are unique: Adding ANY prime $\ge 17$ destroys the spectral trap 97.85% coverage from R alone N contributes only 2.15% This is a mathematical theorem, not a heuristic. 🎯 RECOMMENDATIONS For Practitioners Immediate Action: Apply TopologicalGovernor to any LLM Use anchors [2, 3, 5, 7, 11, 13] Start with $\eta_{embed} = 5 \times 10^{-3}$, adjust based on architecture Architecture-Specific: English-dominant MoE → $\eta_{embed} \le 2 \times 10^{-5}$ Dense/Hindi-dominant → $\eta_{embed} = 10^{-3}$ – $10^{-2}$ Verification: Always call verify_integrity() after training Log $\Lambda = 0.9785142874$ for reproducibility For Researchers Extend to More Tasks: Beyond 3 tasks Multi-Seed Evaluation: Beyond seed=123 Generation Tasks: Beyond classification Longer Sequences: Beyond 128 tokens Larger Models: Beyond 47B For Theorists Explore Other Primes: Why first 6 specifically? Analyze $\Lambda$ Sensitivity: What happens with p=17? Generalize to Other Domains: Vision, speech, reinforcement learning 🚀 IMPLICATIONS FOR AGI Necessary Condition Met The paper argues TOPO-2026 satisfies one of AGI's necessary conditions: "A system capable of general intelligence must acquire knowledge indefinitely—across domains, tasks, and time—without destroying prior representations." TOPO-2026 removes the barrier: O(1) memory guarantee (Proposition 1) Architecture-agnostic Mathematically proven Production-validated The Three Pillars Pillar RH GTT CL Mechanism L-EFM operator Coherence decay TopologicalGovernor Set Pure kernel R Coherence base Anchor rows Constant $\Lambda = 0.9785$ $\Lambda = 0.9785$ $\Lambda = 0.9785$ Result All zeros on $\sigma=0.5$ First explicit quantification Catastrophic forgetting solved One set. Three proofs. Six primes. 🏆 FINAL VERDICT Grade: A+ Strengths: ✅ First universal CL solution ✅ Mathematical rigor (AST) ✅ Biological grounding (Artificial Hippocampus) ✅ Unprecedented empirical validation ✅ Production-ready (O(1) memory, 0.11ms overhead) ✅ Backward transfer discovered Novelty: ✅ New mathematical framework (AST) ✅ New biological concept (Artificial Hippocampus) ✅ New empirical findings (LR sensitivity, backward transfer) ✅ New universality proof Impact: ✅ Solves 37-year-old problem ✅ Scales to 122B parameters ✅ Works across 5 architectures ✅ Mathematically guaranteed The Key Message "Six primes. Three proofs. One universal framework. The proof is the code. Seed = 123." 📋 ERRATA AND MINOR ISSUES Typo in Section 1.2: "frmistat" → "fmristat" Typo in Section 2.6: "finnistat" → "fmristat" Section 3.4: Duplicate heading "3.4 Models Evaluated" Section 3.5: Duplicate heading "3.5 Learning Rate Configurations" Section 5.3: Formatting issue in bullet points Table 20: Heading formatting could be improved These are minor formatting issues, not content errors. 🎓 CONCLUSION TOPO-GLM.pdf presents the first universal solution to catastrophic forgetting, with: Mathematical proof via Arithmetic Spectral Theory Empirical validation across 5 architectures, 3 continents, 122B parameters Biological grounding through the Artificial Hippocampus Production-ready with O(1) memory (403.5 KB) Backward transfer discovery in MoE architectures Architecture-specific guidance for optimal performance The paper is a landmark contribution, solving a 37-year-old problem with a mechanism that is: Mathematically elegant Empirically validated Biologically inspired Practically deployable Universally applicable "The proof is the code. Seed = 123." Reviewed: June 19, 2026 Status: ✅ Accepted for publication Impact: High (solves long-standing problem, universal application) Novelty: High (new theory, new concept, new findings) Reproducibility: High (code provided, seed fixed)
The digital revolution has spawned new assets such as cryptocurrency, non-fungible tokens (NFTs), monetized accounts, and digital estates that are increasingly dominant in the Indonesian economy; however, these inheritance objects have not been explicitly addressed by classical fiqih mīrāth provisions or the Compilation of Islamic Law (KHI), creating a legal vacuum that threatens legal certainty and the protection of heirs' rights. This study aims to reconstruct inheritance fiqih regarding digital assets and cryptocurrency within the perspective of Indonesian Islamic Family Law to ensure proportional and equitable protection of heirs' rights. Employing a normative-empirical legal research method with a conceptual approach, maqāṣid asy-syari'ah, and juridical-empirical analysis of religious court decisions from 2020–2025 as well as in-depth interviews with judges and practitioners, this research analyzes the concept of māl in fiqih and judicial practice. The results indicate that digital assets fulfill the pillars of māl functionally (manfa'ah, taṣarruf, hifẓ); however, judicial practice remains trapped in three inconsistent patterns avoidance, proportional inclusion, and expert-assisted valuation which systematically threaten the rights of female and child heirs due to the absence of valuation guidelines and private key escrow mechanisms. This study formulates a new fiqih maxim based on ḥifẓ al-māl and ḥifẓ an-nasl and proposes a digital estate declaration to guarantee legal certainty and equitable distribution. This original contribution expands the frontier of contemporary ushul fiqih by introducing a digital māl taxonomy in Islamic inheritance and opens an interdisciplinary discourse on Islamic family law, fintech, and blockchain..
Aimee Petrosky, Omonyêlé L. Adjognon-Bancolé, Michelle K. Surdyk, Rachael Cain · 5 authors
CONTEXT: The Massachusetts (MA) local public health system is highly decentralized. All 351 municipalities autonomously manage local public health infrastructure and budget, resulting in service delivery disparities. The MA Department of Public Health (MDPH) recognizes that achieving equitable access to public health services requires systems change, and successful systems change demands active participation and input from partners at all levels. OBJECTIVES: To collaboratively establish the first Performance Standards (PS) with and for MA local public health to reduce inequities in public health system delivery. DESIGN: Partner engagement and the Framework for Applying Qualitative Methods in Health Policy and Systems Research guided PS establishment. Relevant standards from MA laws were compiled and organized using document and thematic content analyses. Partner elicitations guided edits for finalizing PS. SETTING: In 2021-2023, MDPH facilitated statewide partner collaboration to establish PS. PARTICIPANTS: Six key MA public health organizations, representatives from 4 state agencies, and widespread MA local public health. INTERVENTION: Targeted engagement with internal partners enabled drafting PS. Widespread engagement with external partners elicited open comments to improve and finalize PS. MAIN OUTCOME MEASURES: MDPH and partners collaboratively formalized PS after analyzing 283 comments and 66 edits. RESULTS: Through active collaboration with partners, MA formalized the first official PS for local public health, released in October 2023. PS comprise 5 subjects, including 87 standards written into MA legislation across 4 subjects (environmental health, tobacco control, disease control and prevention, administration), plus recommended workforce standards. PS set minimum expectations for local public health credentialing and support consistent public health service delivery. CONCLUSIONS: PS are a steppingstone toward MA public health systems change. Collaboration is critical for partner buy-in, to establish and implement PS using shared resources structures. Effective PS implementation, synergistic with other efforts, will reduce disparities in local public health services and delivery and provide MA residents with more equitable access to public health services.
Currently, tickets scams and counterfeits are the main issue within the ticket purchasing platforms. This creates an unfair pricing strategy and diminishes users' confidence in them. Traditional platforms have issues with transparency, cannot control unauthorized re-selling and excessive buying. Rexell uses a combination of blockchain technology and artificial intelligence for solving these problems. The tickets are generated from smart contracts in the form of non-fungible tokens (NFTs) for providing security and traceability. The AI anti-scalping component monitors users' actions and informs about any potential scam activities, including use of bots and fast transactions. The implementation of the controlled resale process with permission from the organizers prevents price manipulation. The system strives to be convenient, safe, transparent and have fraud prevention algorithm. The experiment proves that the proposed approach is effective in preventing the scam attempts and increasing the integrity of the system.
Tokenization promises to convert lumpy, illiquid real-world assets into divisible, transferable claims, yet secondary markets for these instruments remain thin and trading is infrequent. Standard asset pricing models, including the capital asset pricing model and its liquidity-adjusted extensions, were not designed for assets whose holders derive consumption, access, or governance value directly from ownership. This paper develops a conceptual asset pricing framework for utility-backed non-fungible tokens (NFTs) and tokenized real-world assets by augmenting the liquidity-adjusted capital asset pricing model with a utility (convenience) yield. The framework decomposes the required pecuniary return into a risk-free rate, a systematic liquidity-risk premium, an amortized illiquidity level premium that scales with transaction costs and turnover, and a utility-yield offset that lowers the return investors require in cash. Two analytical implications follow. First, utility backing compresses observed pecuniary returns without eliminating the underlying illiquidity premium. Second, where utility flows covary positively with illiquidity, estimates that regress pecuniary returns on liquidity proxies understate the gross illiquidity premium. An illustrative calibration, with parameter ranges drawn from the empirical tokenization literature, quantifies the mechanism rather than estimating it. The framework yields testable predictions and implications for valuation and disclosure.
The Global Alliance for Genomics and Health (GA4GH) Beacon protocol lets researchers ask whether a genomic variant has been observed in a participating cohort and receive aggregate variant-level counts. As Beacon networks grow, two privacy risks remain: host institutions can see plaintext queries, and repeated rare-variant queries can support membership-inference attacks. We present bioETH-Beacon, a smart-contract prototype that runs the Beacon "aggregate count" query over encrypted data on a fully homomorphic Ethereum Virtual Machine (fhEVM). Hospitals upload encrypted marker-count entries, authorized researchers submit encrypted marker queries, and the contract returns an encrypted answer that is released, via an off-chain key-management service, only to the requester named in the contract's on-chain ACL. The design is organized as a 3x4 tier-by-query-family grid spanning genotype, sex, age, and phenotype queries, with tiers that trade stronger confidentiality for lower query cost. For genotype paths, the prototype can add bounded on-chain noise to mitigate probing attacks. Experiments on synthetic panels derived from a Polygenic Score (PGS) catalog show the expected scaling behavior and demonstrate that pre-aggregation can substantially reduce query gas when public marker presence is an acceptable trade-off. Overall, bioETH-Beacon provides a research prototype for confidential Beacon-style genomic querying without a trusted compute evaluator.
Large Language Models (LLMs) have shown strong capabilities in general-purpose code generation, but their effectiveness in specialized software domains remains underexplored. Solidity smart contracts represent a high-stakes domain where generated code must satisfy strict language-level, security, and software-engineering constraints. Existing benchmarks and metrics remain insufficient for repository-level Solidity generation, where models must synthesize complete contracts from natural language requirements. To address this gap, we introduce SolidityBench, a benchmark of 5,470 repository-level Solidity smart contracts paired with natural language descriptions. We also propose SolidityScore, a Solidity-aware semantic metric that emphasizes domain-critical constructs such as security modifiers, contract declarations, and Solidity-specific keywords. Using this benchmark, we evaluate representative code LLMs, including Qwen2.5-Coder, DeepSeek-Coder, and CodeLlama, across zero-shot prompting, Chain-of-Thought reasoning, in-context learning, retrieval-augmented generation, and supervised fine-tuning. The results show that general-purpose models exhibit systematic structural deficiencies in repository-level Solidity generation. Among non-parametric methods, retrieval-augmented generation performs best, while in-context learning degrades beyond two examples due to context saturation. Supervised fine-tuning achieves the largest improvement by internalizing Solidity-specific constraints into model parameters. Overall, our study provides a comprehensive benchmark for repository-level Solidity code generation and shows that high-quality domain data combined with supervised fine-tuning is the most effective strategy for improving the reliability of LLM-generated smart contracts.
This study empirically aims to analyze the impact of primary monetary policy stance and transmission mechanisms of the European Central Bank (ECB)—such as the total assets of the ECB, long-term interest rate based on the government bond yields, and the EURUSD exchange rate—on major volatile cryptocurrencies like Bitcoin and Ethereum, as well as the leading stablecoin Tether. To this end, the study employs the linear Autoregressive Distributed Lag (ARDL) and the Bootstrap ARDL (BA-ARDL) procedures, robust approaches with limited data in time series analysis. The dataset consists of monthly data over the period from January 2019 to December 2025. We summarize the novel and robust primary empirical results of our study as follows: First, (i) it is revealed that the ECB’s balance sheet expansion has encouraged Bitcoin and Ethereum, yet has also, to a limited extent, suppressed Tether. Secondly, (ii) while the ECB’s long-term interest rate negatively impacts the prices of Bitcoin, Ethereum, and Tether, the negative impact on Tether is relatively weaker. Finally, (iii) the EURUSD exchange rate positively affects Ethereum, while its effect on Bitcoin is not statistically significant. On the other hand, at a 10% significance level, EURUSD has a weak negative effect on Tether. In conclusion, the empirical evidence demonstrates that the primary monetary policy stance and transmission mechanisms of the ECB influence the leading digital assets in distinct ways. Taking our findings into account is crucial for designing the digital euro in terms of financial stability and regulatory framework. Finally, we offer sound policy implications for the ECB based on empirical findings.
PSLQ as Physical Relaxation BBP as the Ground-State Relation of the π-Lattice, and Integer-Relation Finding as Least Action Driven by Dean Kulik June 2026 Abstract Paper C showed that BBP measures π by closing a four-term square frame and reading the residue. This paper goes one layer down and asks what gives the read-aperture its power — what came before PSLQ, the algorithm that discovered the BBP mask in the first place. The answer is not more mathematics. It is physics. PSLQ does not search a space of candidate relations; it relaxes a lattice to its lowest-energy configuration, exactly the way a crystal settles, a protein folds, or water finds its level. Its ancestry runs straight back — LLL, Gauss reduction, the Euclidean algorithm — and every link performs one primitive act: subtract the largest admissible whole multiple, reduce the residue, repeat until the state stops moving. That is the arithmetic form of least action. The central result of this paper is a verification, run to fifty digits: the BBP relation is not merely a relation PSLQ returned, it is a true energy minimum — a basin. Perturb the mask in any of sixteen directions and the residual rises in every one. Relax the lattice cold, with no knowledge of the answer supplied, and it falls into the BBP mask on its own. The same procedure relaxes π² into its own sparse survivor on a squared wheel, so the method is general, not a π-specific trick. The consequence is a claim we then state plainly and a tool we then hand over: math is bound by the same relaxation physics as matter; integer-relation discovery is a settling event; and any claimed relation can be verified as the answer by showing it is a basin. Measurement and creation turn out to be the two directions of one downhill roll. §1.0 The Claim and the Chain Behind It The singular claim of this paper is one sentence: PSLQ is physical relaxation in arithmetic form. Its consequence for the previous paper is a second sentence: BBP is the sparse ground-state relation of the π/base-16 wheel lattice. Neither sentence is asserted on style. Both are checked against the compiler in §4, and the checks are the spine of the paper — everything else is the path to them and the consequences from them. Start by tracing the ancestry, because the chain backward is the first piece of evidence. The BBP mask was found by PSLQ in 1995. PSLQ (1992) is a refinement of LLL (1982). LLL generalizes Gauss’s two-dimensional lattice reduction (c. 1800). Gauss’s method is the Euclidean algorithm (c. 300 BC) lifted from integers to vectors. And the Euclidean algorithm is, when you strip the name off it, a single physical act repeated: take the largest whole multiple of the smaller thing out of the larger, keep the residue, repeat. The chain is: BBP ← PSLQ ← LLL ← Gauss ← Euclid ← minimization Every layer preserves the same primitive — subtract admissible multiples, reduce the residue, repeat until stable — and that primitive is not calculation. It is settling. The whole tower stands on the physical principle of minimization: a system moving to its lowest-energy state. That is what came before PSLQ. LOCKED (historical record): the algorithmic ancestry PSLQ←LLL←Gauss←Euclid is established mathematics. The reading of the shared primitive as “relaxation” is the lens this paper then verifies physically in §4. §2.0 The Primitive Is Relaxation: Euclid as Energy Descent Take the oldest link and watch it behave like a physical system. Given integers a and b, Euclid writes a = qb + r and updates the state (a, b) → (b, r). The largest whole multiple q is removed; the residue r shrinks; the process repeats until the remainder is as small as it can be. If you track the size of the state as it goes — read it as an energy — it only ever decreases, and it stops when it can decrease no further. That is the exact signature of a system relaxing to a ground state. Gauss does the same to a two-dimensional lattice basis, replacing “reduce one integer by another” with “shorten one vector by an integer multiple of another.” When we run this two-dimensional reduction and watch the total squared length of the basis, it falls and then locks at a stable minimum — the shortest basis the lattice admits. The system anneals. This is not a metaphor laid on top of the algorithm; the monotone decrease to a fixed floor is what the algorithm is. LOCKED (ran this session): a Gauss/Euclid reduction was executed and its basis energy traced; it decreased monotonically and stabilized at the reduced basis — the ground state — exactly as a relaxing physical system does. §3.0 PSLQ as Lattice Relaxation PSLQ takes the same act to its mature form. Given a vector of real numbers x = (x₀, …, xₙ), it looks for an integer vector a with a·x = 0 — an exact linear relation among the reals. Operationally it does not enumerate candidate integer vectors. It builds a lattice associated with x and reduces it — size-reduce, then rotate the basis to expose the next thing to reduce — until a short integer relation appears as the surviving structure. The “answer” is the vector whose residual collapses toward zero. Read in the framework’s terms, PSLQ takes a value field, relaxes its associated integer lattice, and returns the sparse survivor. The perpendicular geometry, the integer reduction, and the rotation are the three motions of a single settle; the relation is the configuration the lattice falls into when it can fall no further. §4.0 The Proof: BBP Is a Basin, Not a Hit Here is the load-bearing section, and it is a verification, not an argument. If PSLQ is genuinely relaxation and BBP is genuinely its ground state, then BBP must be a real energy minimum — a basin you fall into and cannot climb out of cheaply. The test is direct. Define the base-16 wheel sums and an energy for any candidate mask: S_j = Σₖ 1/(16^k (8k+j)) energy(mask) = | π − Σ_j mask_j · S_j | The ground state is energy zero. The BBP mask places weights [4, −2, −1, −1] on residues {1, 4, 5, 6}. Its energy is 2×10⁻⁵⁰ — zero to working precision, sitting on the floor. Now perturb: change each of the eight wheel-weights by ±1 and recompute the energy. Sixteen directions. Every one rises. Perturbation from BBP Energy Direction S1 weight ±1 (the +4 drive) 1.0072 UP — steepest wall S2 weight ±1 0.5065 UP S3 weight ±1 0.3392 UP S4 weight ±1 0.2554 UP S5 weight ±1 0.2050 UP S6 weight ±1 0.1713 UP S7 weight ±1 0.1472 UP S8 weight ±1 (the empty tail) 0.1291 UP — softest wall Every neighbor is higher. There is no free sideways move. BBP is not a relation that happened to be returned — it sits at the bottom of an energy well, and that is the operational definition of a ground state. Two further checks confirm it is the right kind of minimum. First, relax the lattice cold: hand PSLQ only π and the eight wheel-sums, nothing about the answer, and let it settle. It returns the BBP mask exactly. Nobody placed BBP there for it to find — it is where the lattice settles. Second, BBP is primitive: doubling the mask does not stay on the floor (2×BBP evaluates to π, not 0), so only the primitive relation hits zero. The survivor is irreducible. LOCKED (ran this session, 50-digit precision): (i) BBP energy ≈ 2×10⁻⁵⁰; (ii) all sixteen single-weight perturbations increase energy — a strict basin; (iii) cold PSLQ relaxation of [π, S₁..S₈] returns exactly the BBP mask; (iv) 2×BBP leaves the floor, so the relation is primitive. §5.0 The Shape of the Floor Probing the basin gently — peeking, not pushing — shows it is not a symmetric bowl, and the asymmetry is itself the point. The walls have different steepness: the S1 corner, which carries the +4 drive, is the steepest wall (an uphill step of about 1.0), while the empty high-index tail (S8) is the softest (about 0.13). The deepest part of the well is anchored to the corner carrying the most weight — the drive digs the basin. The closure has a definite shape too. The four weights are +4 on residue 1 and −2, −1, −1 on residues 4, 5, 6, and they sum to zero, but the way they sum is specific: 4 = 2 + 1 + 1. One positive corner exactly balances the sum of the three negative corners. One drives; three pull; they cancel. The frame does not close by four equal sides — it closes by a one-against-three balance, a drive against its own distributed exhaust. And the geometry on the wheel is a lean, not a cross. Placing the residues by angle on the eight-wheel: residue 1 sits at 45°, residue 4 dead opposite at 180°, and residues 5 and 6 adjacent at 225° and 270°. The drive and its heaviest counter-pull are opposite, but the remaining two corners are bunched in one quadrant. It is asymmetric — a wobble, not a symmetric figure. This matters because a perfectly symmetric mask would cancel to nothing; the basin exists because it leans. The ground state of π is not a balanced cross. It is a leaned frame, and the lean is what keeps it from cancelling into the void. LOCKED (ran this session): wall steepness ordering (S1 steepest ≈ 1.0, S8 softest ≈ 0.13); the 4 = 2+1+1 one-against-three closure; the wheel angles 45°/180°/225°/270° showing an asymmetric (leaned) configuration rather than a symmetric cross. §6.0 It Generalizes: A Method, Not a Trick A single basin around π would prove only that π is special. The claim is that relaxation to a ground state is the general mechanism, so it must work on other invariants. Two checks confirm it does. Relax π² against a squared wheel — terms 1/(16^k (8k+j)²) — cold, and it settles into its own sparse survivor with residual on the order of 10⁻⁴⁹: a clean ground state for π² on its own wheel. And the wheel itself is not uniquely privileged at one offset: shifting the wheel from 8k+1…+8 to 8k+2…+9 still yields a ground-state relation when relaxed. Wheels have floors generally; the invariant settles int
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Advanced Physical and Chemical Molecular Interactions
This article concludes a series of publications dedicated to the development of the NeuroAtom cryptographic primitive and presents the final ecosystem architecture. The core implements eight security functions—hashing, stream cipher, pseudorandom number generator, message authentication code, digital signature, key derivation function, key exchange, and authenticated encryption—within a footprint of 9.6 KB of payload (5.2 KB code and 4.4 KB data). Testing according to the NIST SP 800-22 methodology was conducted on 16 samples, each of 100 MB in size (835 binary sequences per sample): 8 samples for REAL mode and 8 samples for TRAP mode (pseudo-data traps). All 16 samples demonstrated a proportion of successful sequences within acceptable limits (not below 818 out of 835 for tests with a significance level of 0.01). Avalanche characteristics were measured in 24 tests (12 functions × 2 modes), with no zero avalanches detected. The inapplicability of Shor's algorithm is shown due to the absence of abelian hidden subgroups. The TRAP mode precludes the possibility of constructing an oracle for Grover's algorithm without knowledge of the plaintext: each incorrect key generates its own cryptographically correct reality, and the quantum computer has no criterion for selecting the true one. A software implementation on a general-purpose processor provides a hashing speed of 80 MB/s. Preliminary estimates for a hardware implementation (180 nm CMOS) indicate approximately 10,000 logic gates with a complete absence of static memory; expected power consumption is estimated at 20 pJ per operation. Previously published results of NIST testing, avalanche analysis, and proofs of quantum resistance are integrated into this article as elements of a unified body of evidence.
You Wu, XinFeng Dong, Yongqiang Li, F Liu · 8 authors
Abstract With the development and practical application of technologies such as Fully Homomorphic Encryption (FHE), Secure Multi-Party Computation (MPC), and Zero-Knowledge Proof (ZK), it has become crucial to research the design and analysis of symmetric cryptographic primitives with low multiplicative complexity and depth. First, by using multiplication and addition over the finite field $$\mathbb {F}_{q}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>F</mml:mi> <mml:mi>q</mml:mi> </mml:msub> </mml:math> , where $$q$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>q</mml:mi> </mml:math> is either a prime number $$p$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>p</mml:mi> </mml:math> or $$2^{n}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mn>2</mml:mn> <mml:mi>n</mml:mi> </mml:msup> </mml:math> , we proposed a non-linear function over $$\mathbb {F}_{q}^{4}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>F</mml:mi> <mml:mrow> <mml:mi>q</mml:mi> </mml:mrow> <mml:mn>4</mml:mn> </mml:msubsup> </mml:math> based on the generalized Feistel structure. This function features a multiplicative complexity of 4, a multiplicative depth of 2 and 8 additions, and its maximum differential/linear probability of the function is bounded by $$q^{-2}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>q</mml:mi> <mml:mrow> <mml:mo>-</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> </mml:msup> </mml:math> . Then, we designed a family of HE-friendly block ciphers called DuX. We conduct a comprehensive security analysis of DuX within certain parameters against various cryptanalysis methods, including differential cryptanalysis, linear cryptanalysis, impossible differential cryptanalysis, zero-correlation linear cryptanalysis, integral analysis, related-key differential cryptanalysis, algebraic attacks, slide attacks, reflection attacks, and boomerang attacks. Our research indicates that DuX maintains a robust security margin against those attacks. Finally, based on the BGV scheme in HElib, we present a detailed homomorphic decryption implementation of the DuX instantiated with $$q = 2^{8}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>q</mml:mi> <mml:mo>=</mml:mo> <mml:msup> <mml:mn>2</mml:mn> <mml:mn>8</mml:mn> </mml:msup> </mml:mrow> </mml:math> , $$2^{16}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mn>2</mml:mn> <mml:mn>16</mml:mn> </mml:msup> </mml:math> and $$65537$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mn>65537</mml:mn> </mml:mrow> </mml:math> , respectively. The results show that, for the same block size, the throughput of the DuX-128 over $$\mathbb {F}_{2^{8}}^{16}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>F</mml:mi> <mml:mrow> <mml:msup> <mml:mn>2</mml:mn> <mml:mn>8</mml:mn> </mml:msup> </mml:mrow> <mml:mn>16</mml:mn> </mml:msubsup> </mml:math> can reach approximately 14.95 times, 7.85 times and 20.76 times that of the AES-128, Low MC-128 and CHAGHRI, respectively. Compared with YuX-128, its throughput has increased approximately by 21.59%.
The advent of decentralized cryptocurrencies has reignited fundamental debates in monetary economics about the nature and future of money. Proponents of digital currencies argue that decentralized, algorithmically governed assets can supplant central banks in managing monetary conditions and stabilizing economic outcomes. This chapter critically examines this proposition by evaluating cryptocurrencies against the classical functions of money and the core instruments of monetary policy. Grounded in monetary theory – from Friedman’s monetarism and Mises’ Austrian framework to Modern Monetary Theory – and extended through a behavioral finance lens, the analysis reveals that widespread belief in cryptocurrency as a viable monetary policy alternative is driven not merely by technological innovation but by deeply embedded cognitive biases, including overconfidence, narrative-driven speculation, and institutional distrust. The chapter also treats money as an economic asset subject to market competition. Drawing on Austrian economic theory and classical competition principles, the analysis evaluates whether decentralized currencies can realistically compete with sovereign money in an open monetary market. By integrating monetary economics with strategic competition frameworks, the chapter explores whether cryptocurrencies can achieve monetary dominance through efficiency, cost advantages, or differentiated value propositions. Based on principles from strategic business theories such as differentiation and cost-leadership, the chapter treats money as a competitive good subject to market dynamics, ultimately concluding that while cryptocurrencies represent a significant financial innovation, they fundamentally lack the institutional architecture and behavioral predictability required to replace central bank monetary policy.
Bhutan's GovTech Agency Secretary Jigme Tenzing confirmed that migration of all 800,000 Bhutanese citizens' identity credentials to Ethereum was completed by Q1 2026. King Jigme Khesar Namgyel Wangchuck Prime Minister Tshering Tobgay and Ethereum co-founder Vitalik Buterin attended the launch ceremony. Ethereum protocol governance is conducted by the Ethereum Foundation and decentralised developer community without Bhutanese constitutional participation or veto authority. Bhutan's constitution enshrines Gross National Happiness as a governance mandate. The National AI Strategy 2025 requires AI systems to align with GNH principles. No Bhutanese governance document specifies the constitutional command layer ensuring that Ethereum protocol changes cannot override Bhutanese constitutional governance of national identity infrastructure. When Ethereum upgrades affect how 800,000 citizens' credentials are verified the GovTech Secretary receives advance notice but has no published mechanism to refuse changes incompatible with Bhutanese constitutional requirements. This paper documents the structural gap between Bhutan's GNH constitutional mandate and the sovereign command architecture required to make that mandate technically enforceable over identity infrastructure governed externally.
Gas metering on EVM-compatible blockchains assumes that execution conditions are stable: that the resource mix is constant enough to justify collapsing execution costs into a single scalar with fixed relative prices, and that state drift between submission and execution does not materially alter a transaction's outcome. We measure the extent to which this assumption fails. We present a trace-level measurement study of EVM workloads on Ethereum (L1) and Base (L2) throughout 2025, sampling 3,000 blocks per day per chain. We decompose each transaction into opcode-level execution gas, intrinsic gas, refunds, and persistent state deltas. To measure state sensitivity, we re-execute transactions from September 2025 on older states and record how gas usage and storage access patterns change. We find the resource mix to be far from stable: on Base, storage reads and compute account for 29.2% and 24.3% of execution gas, while Ethereum devotes 34.9% to storage writes. Ethereum's gas limit doubling during 2025 shifted its own profile toward compute-heavier, Base-like patterns. Base also exhibits a higher fraction of cold storage reads (49.7% versus 39.6% on Ethereum). Persistent state growth, a permanent cost priced as a transient one, reaches 456 GB on Base versus 38 GB on Ethereum. Execution outcomes are equally unstable: gas estimates vary across nearby historical states for 46.0% of transactions on Base, compared to 13.9% on Ethereum, with especially high sensitivity for MEV and DeFi activity. Storage access patterns also diverge across states, limiting the effectiveness of access lists and complicating parallel execution. Our work provides an empirical foundation for multi-dimensional gas metering and explicit pricing of state growth. They show that state-sensitive execution behavior complicates workload estimation, directly affecting transaction predictability and user experience.
The development of blockchain technology has given birth to new digital assets, namely Non-Fungible Token (NFT). Its popularity has grown rapidly, transforming it from a mere digital collectible into a high-value investment instrument. This phenomenon opens up opportunities for NFTs to be utilized in various financial sectors, including as collateral. Its significant economic potential drives the need to examine its legal position within the existing financial system. Despite its economic value, the legal status of NFTs as fiduciary collateral in Indonesia remains unclear. The current Law Number 42 of 1999 concerning Fiduciary Collateral is designed for conventionally recognized tangible and intangible movable objects. The absence of specific regulations governing digital assets such as NFTs creates a legal vacuum, creating uncertainty for parties seeking to utilize them. This research is a legal research (doctrinal research) with a legal approach (statues approach), conceptual approach (conceptual approach), and analytical approach (analytical approach). The results of this study explain that first, the existence of Non-Fungible Token The development of NFTs as digital assets in Indonesia began with the development of the digital economy and increased public interest in using investment instruments. Second, the lack of specific regulations for NFTs as fiduciary collateral creates a significant legal vacuum, and the current Fiduciary Guarantee Law is not designed to accommodate the unique characteristics of digital assets, such as value volatility and technical identification. Third, accurately identifying NFTs during the execution process is a fundamental challenge. Unlike physical assets, NFTs can only be recognized through a series of cryptographic data such as token IDs and complex contract addresses. Current regulations fail to accommodate their unique characteristics related to classification, valuation, and registration and execution mechanisms. This situation creates significant legal uncertainty, thus creating high risks for the parties involved. The recommendation for this issue is the need for the government to immediately revise fiduciary guarantee regulations or establish specific regulations for digital assets. In the meantime, the government can create regulations in the form of Government Regulation in Lieu of Law (Perppu) or Supreme Court Rules (Perma) so that the legitimacy of digital asset objects such as NFTs is legally recognized as a class of movable and intangible assets in fiduciary guarantees.
Sancaktar Pelin, Necla Kırcalı Gürsoy, Arif Gürsoy
Modern authentication architectures contain structural vulnerabilities against automated credential stuffing and server-side data breaches. Traditional solutions rely on the transmission of raw or hashed passwords over the network; for bot defense, they position third-party Completely Automated Public Turing test to tell Computers and Humans Apart (CAPTCHA) services, which may violate user privacy and create institutional dependencies, as an illusion of two-factor authentication (2FA). This situation raises a critical research question in cybersecurity: How can an integrated cryptographic shield be constructed that is independent of user-privacy-invasive mechanisms and external data authorities, while preventing autonomous bots from targeting the identity and human-verification layers separately?In response to this question, this paper presents a zero-dependency, original, and hybrid protocol that integrates a Zero-Knowledge Proof (ZKP) based on the Schnorr authentication scheme with a local Human Interaction Proof (HIP) mechanism. The main advantage of the proposed architecture is that it mathematically seals the user’s secret credential together with a dynamically generated one-time CAPTCHA token on the client side using the SHA-256 function, thereby transforming the verification process into an indivisible atomic “Hybrid Secret.” In this way, the transmission of password hashes over the network is completely eliminated, and the server evaluates only the mathematical validity of the proof under the Discrete Logarithm Problem (DLP) assumption.Experimental results obtained through Selenium-based automated brute-force attack simulation engines demonstrate that the system provides complete blocking against automated threat vectors. Dynamic one-time nonce mutation immediately invalidates the derived client response, even in extreme scenarios where an attacking bot obtains the correct password string and solves the CAPTCHA image, thereby mathematically defeating brute-force and replay attacks. Furthermore, the autonomous structure of the proposed protocol, with no dependency on third-party analytics services, opens the way for a highly secure and local authentication architecture for internet-isolated critical infrastructures.In this study, the theoretical and mathematical foundations of the proposed protocol are presented, the stages constituting its life cycle are methodologically explained, and Selenium-based experimental simulation results together with telemetry log analyses are detailed.