Research works

Pandrosion for 𝑝-th Roots

A Geometric Iteration and Its Residual Fingerprint A proportional-means construction associated with the old problem of doubling the cube leads to a simple fixed-point map for the equation z^p=x

EuroMillions Breakthrough Mining — 1238 Sources, 7920 Leads Extracted — E8 Intelligence Research

Mined 1238 lottery+quantum breakthroughs. Extracted 7920 leads across 13 categories. 6073 high-value leads found. Categories: {"CORRIDOR": 631, "FORMULA": 491, "GEOMETRIC": 657, "FORWARD_ATTEMPT": 656, "QUANTUM": 867, "TIMING": 169, "CELESTIAL": 577, "GEMATRIA": 615, "CONSTANT":...

Challenges and Transformations in Biomedical Statistics Research Driven by Artificial Intelligence

ABSTRACT With the rapid advancement of artificial intelligence (AI) technology, the field of biomedical statistics has embraced novel solutions in areas such as data processing, variable control, and model formulation. This paper explores how AI technology is driving a transforma...

Riemann Zeros Match GUE Statistics, Linking Primes to Quantum Chaos — E8 Intelligence Research

FINDING: Riemann zeros exhibit spectral statistics identical to the Gaussian Unitary Ensemble (GUE) of random matrices, linking prime number distribution to quantum chaos. MATH: - Riemann zeta function: ζ(s) = Σ_{n=1}^∞ n^{-s}, Re(s) > 1; analytic continuation to complex plane. -...

LAB #651 NEUTRAL: LEDGER BENCH: Apply filter: Phase distance MODERATE (5-10deg) — improves win rate from 32.1% to 33.8 — E8 Intelligence Research

IDEA: Adjustment made to the live model — verify against the backtests: Apply filter: Phase distance MODERATE (5-10deg) — improves win rate from 32.1% to 33.8% (+1.7pp, n=151) SAME-WINDOW EFFECT: Over the current live trade window, applying a phase distance filter of 5-10 degrees...

Femoral malrotation and patellofemoral osteoarthritis: cadaveric study

BACKGROUND: Femoral rotational alignment has been proposed as one factor that may influence patellar tracking and the distribution of patellofemoral joint loading. The present study explored whether characteristic patterns of patellar facet degeneration coexist with abnormally hi...

Deep reinforcement learning-based adaptive traffic signal control in urban networks

Abstract This paper introduces a traffic signal control system using deep reinforcement learning to solve the congestion problems at signalized intersections under dynamic traffic conditions. The proposed framework is simulated with the help of MATLAB-SUMO co-simulation framework...

Prime-Pi Dual-State Mathematics: Prime Conch Topology and Bidirectional Vortex Resonance Singularity Cluster Research

Based on the original theoretical framework of Prime-Pi Dual-State Mathematics, this paper proposes the intrinsic free-angle mapping rule for natural numbers and constructs an eight-ridge helical geometric structure constrained by prime residue classes modulo 30. The model define...

Macroscopic Quantum State Transfer via Atom Interferometry and Hybrid Neural Networks — E8 Intelligence Research

FINDING: Macroscopic quantum state transfer relies on atom interferometry and hybrid classical-quantum neural networks, with no direct teleportation evidence for macroscopic objects. | MATH: No explicit equations or constants extracted from provided sources; key concept is wavefu...

Probabilistic Construction of H³ WZW Model at k=1 Links Logarithmic CFT and Integer QHE — E8 Intelligence Research

FINDING: Probabilistic construction of H³ = SL(2,C)/SU(2) WZW model at level k=1, linking to logarithmic CFT with c=0 and integer quantum Hall edge states. | MATH: WZW model on hyperbolic 3-space H³; target space SL(2,C)/SU(2) (non-compact); level k=1 corresponds to central charg...

Keirin Framework: The AI-Augmented Agile Delivery Framework

A concise abstract describing Keirin as a governed AI-performance layer for iterative delivery systems.

DMPE: A Deterministic Multi-Criteria Proposer-Election State Machine for Permissioned Dis tributed Systems

Leader selection strongly affects performance and reliability in permissioned networks. Existing mechanisms rely on static schedules or protocol-specific reputation, limiting portable observation- driven selection across heterogeneous consensus engines. This paper presents DMPE,...

EuroMillions Breakthrough Mining — 1242 Sources, 7964 Leads Extracted — E8 Intelligence Research

Mined 1242 lottery+quantum breakthroughs. Extracted 7964 leads across 13 categories. 6117 high-value leads found. Categories: {"CORRIDOR": 635, "FORMULA": 495, "GEOMETRIC": 657, "FORWARD_ATTEMPT": 660, "QUANTUM": 871, "TIMING": 169, "CELESTIAL": 581, "GEMATRIA": 619, "CONSTANT":...

Autotie: A partial automation of the seismic to well tie with matching region estimation

Abstract Tying seismic data to well logs is a critical step in seismic amplitude processing and interpretation. This process is often repeated throughout the exploration phase to enhance the understanding of well characteristics, such as the time-depth relationship. However, the...

The General Solution to the Twin Prime Problem, or Constructivism vs. Analytical Atavism

This paper proposes a fundamentally new approach to investigating the structure of the set of natural numbers based on the concept of alternative and connected numerical sets, one of which is the set of prime numbers. The method of dynamic sieves is described. By utilizing the pr...

CRYPTO EVOLVER APPLIED — 2026-07-24 14:53 UTC — 1 avoided / 0 focused — E8 Intelligence Research

The MEMECOIN crypto team analysed live GTX crypto outcomes and APPLIED these filters to strategy_filters.json (enforced by gtx_autonomous and the meme tracker): AVOID: ETHUSD LONG — 17.4% WR (8W/38L) Rule: avoid <= 20% WR, focus >= 55% WR, min 15 resolved setups. Author: Andrew S...

Figure-Eight Knot Complement: Golden Ratio, Ideal Tetrahedron, and Hyperbolic Volume — E8 Intelligence Research

FINDING: Figure-eight knot complement is the simplest hyperbolic knot complement, with volume linked to the golden ratio via ideal tetrahedron decomposition and Dehn surgery limits. MATH: Volume of figure-eight knot complement = \( 2 \cdot \text{Vol}(\text{regular ideal tetrahedr...

EuroMillions Breakthrough Mining — 1220 Sources, 7722 Leads Extracted — E8 Intelligence Research

Mined 1220 lottery+quantum breakthroughs. Extracted 7722 leads across 13 categories. 5875 high-value leads found. Categories: {"CORRIDOR": 613, "FORMULA": 473, "GEOMETRIC": 657, "FORWARD_ATTEMPT": 638, "QUANTUM": 849, "TIMING": 169, "CELESTIAL": 559, "GEMATRIA": 597, "CONSTANT":...

EuroMillions Breakthrough Mining — 1228 Sources, 7810 Leads Extracted — E8 Intelligence Research

Mined 1228 lottery+quantum breakthroughs. Extracted 7810 leads across 13 categories. 5963 high-value leads found. Categories: {"CORRIDOR": 621, "FORMULA": 481, "GEOMETRIC": 657, "FORWARD_ATTEMPT": 646, "QUANTUM": 857, "TIMING": 169, "CELESTIAL": 567, "GEMATRIA": 605, "CONSTANT":...

Geometric Langlands Duality: Root System Classification and Dual Groups — E8 Intelligence Research

FINDING: The geometric Langlands correspondence is a deep duality between sheaves on moduli spaces of G-bundles on curves and representations of the Langlands dual group, rooted in the classification of root systems of reductive groups. MATH: Root system classification yields fou...