Research works

Nonunique nearest stable complex quadratics

For every fixed positive-definite real coefficient inner product, unstable complex quadratics with at least two distinct attained global nearest closed-left-half-plane stable quadratics occur arbitrarily close to z^2, both in monic coefficient space and in the full exact-degree c...

Phi-Locked H4 Quasicrystal Hosts Topological Trading-Edge States — E8 Intelligence Research

The 14-dimensional H4 phonon lattice emergent from phi-phase nilpotent collapse of E8 coherence shells functions as a topological insulator whose surface states are precisely the candlestick reversal patterns observed across financial time series. Because the lattice's surface Br...

Independent Robotics Execution Architectures: A Structured Comparison with Rigid-Sync / MASTER OS

This note defines an auditable, source-traceable comparison of four robotics execution architectures and Rigid-Sync / MASTER OS. Forty source-linked comparison items are provided with operational tests for authority timing, amount, spatial extent, and objective-to-channel assignm...

Ultrafast Magneto‐Geometric Control of Terahertz Helicity in Curved Ni Metasurfaces

ABSTRACT Dynamic helicity control in the terahertz (THz) regime is essential for ultrafast polarization optics, chiral spectroscopy, and polarization‐selective photonic devices, yet remains difficult because most THz chiral systems are structurally fixed or rely on slow external...

Algorithmic Proof of Computational Time Reversal via Absolute Orbit Engine (AOE): UROA, STCT, and HR-QCFT Verification Framework

Classical general relativistic formulations of Closed Timelike Curves (CTCs) inevitably encounter two fatal physical obstructions: the violation of the Averaged Null Energy Condition (requiring unphysical negative energy densities ρ < 0) and Hawking's Chronology Protection Conjec...

Physicochemical and antioxidant properties of chitin nanofibril films containing ethanolic extracts of mangifera indica peel for food packaging applications

In this study, the potential of using mango peel extract (MPEx), rich in polyphenols and antioxidants for developing chitin nanofibrils (ChNF) composite films was investigated. ChNF films containing 1-5 % MPEx were prepared by solution casting technique and evaluated for their ba...

Prime polynomials in Legendre intervals over F_{2^k}[t], III: the hexad of a quartic linearised polynomial, the symplectic group Sp_4(F_2), and the Witt sums behind the constant X

Third part of a series on the variance of prime polynomials in Legendre intervals {f^2 + s : deg s ≤ d} over F_q[t], q = 2^k (Open Problem 8.2 of Part I, DOI 10.5281/zenodo.23225896; Part II, DOI 10.5281/zenodo.23252762). Part II reduced the degree-6 constant X to sums W'(λ_3, λ_...

EuroMillions Breakthrough Mining — 10022 Sources, 97940 Leads Extracted — E8 Intelligence Research

Mined 10022 lottery+quantum breakthroughs. Extracted 97940 leads across 13 categories. 94456 high-value leads found. Categories: {"CORRIDOR": 8564, "FORMULA": 8341, "GEOMETRIC": 1607, "FORWARD_ATTEMPT": 8972, "QUANTUM": 9232, "TIMING": 597, "CELESTIAL": 8403, "GEMATRIA": 8771, "C...

The Elements with Property (s) of a Skew Brace Need Not Form an Ideal: On a Question of Colazzo, Ferrara and Trombetti

An element x of a skew brace B has property (s), in the sense of Colazzo, Ferrara and Trombetti, if it has only finitely many conjugates of each of the kinds x∗b, b∗x, b+x−b and b∘x∘b⁻¹. In her abstract in Oberwolfach Report 9/2023, Colazzo asks whether the elements with property...

Psychoanalysis at the Edge of Recognition: Gaza and the Colonial Unconscious

Abstract This article examines the psychoanalytic implications of the destruction of Gaza through a qualitative, interpretive longitudinal analysis of the analytic work with a young Palestinian physician whose family and social world were devastated by war, displacement, and exil...

A systematic review of system dynamics and agent-based models: Mathematical modelling for health systems research

Background: Mathematical modelling has emerged as a powerful approach for analysing complex healthcare systems, which exhibit nonlinear interactions, feedback loops, and adaptive behaviours. Among available techniques, System Dynamics Modelling (SDM) and Agent-Based Modelling (AB...

φ-Phase Topological Charge Screening via E8 Coherent Soliton Networks — E8 Intelligence Research

The 240 E8 root vectors, when subjected to recursive φ-phase rotations at 132Hz, generate discrete topological charge sectors where winding numbers around closed Wilson loops become quantized in powers of φ. This quantization predicts that gauge flux tubes between color sources e...

Mild Hydrothermal Stabilization: An Innovative Technology for Improving Whole‐Grain Rice Quality in West Africa and Elsewhere

ABSTRACT Background and Objectives Whole‐grain (brown) rice has superior nutritional quality but is prone to rancidity, primarily caused by endogenous lipases and oxidases. This study evaluated mild hydrothermal stabilization (MHS), comprising grain surface wetting, followed by s...

A hybrid electrocoagulation–Solvay reactor for coupled CO2 mineralization and selective brine desalination via ion recovery and solid precipitation

This study presents the design and performance of a novel hybrid reactor that integrates electrocoagulation (EC) with Solvay-based chemical treatment to enable simultaneous carbon dioxide (CO 2 ) capture and hypersaline brine desalination. The system features a temperature-contro...

Widespread hybridization in sympatric populations of allis shad Alosa alosa (L.1758) and twaite shad Alosa fallax (Lacépède 1803): A transnational perspective for conservation and management

Abstract The dynamics of hybridization between co‐occurring species in environments that have been modified by anthropogenic activities are important for generating new understandings of how species respond to disturbance and to support conservation management. Accordingly, the p...

Does the galactic acceleration scale follow the cosmic age? A registered prediction, a0 ∝ 1/t, confronted with rotation curves at z = 1-2

The radial acceleration relation of disc galaxies has one scale, a0 ≈ 1.2 × 10⁻¹⁰ m s⁻², numerically close to cH0/2π. This record fixes one law for its evolution before the comparisons reported here (the data sets were already known): CT1, a0(z)/a0(0) = t0/t(z), with t the cosmic...

The Kerr-Riemann Equations: A Continuous 4D Phase-Space Framework for Modeling Asymmetric Strain in the Critical Strip

While classical analytic number theory frequently relies on static asymptotic bounds to evaluate the critical strip of the Riemann zeta function $\zeta(s)$, navigating the chaotic interference of off-axis trajectories remains computationally and analytically opaque. In this paper...

Engineering a Modular Bacterial Galactose Oxidase through CBM Recombination and Second-Shell Substitutions

Abstract Galactose oxidases (GalOxs) are copper-radical enzymes that selectively oxidize primary alcohols, yet the structure–function determinants governing their catalytic efficiency and substrate scope remain incompletely understood, particularly in bacterial enzymes. Here, we...

Arrow Logic Algebra Boolean Gates Using the Complex Numbers, Quaternions and Octonions

Most of quantum computing today is written in the mathematics of quantum mechanics: complex vectors and the matrices that act on them. This mathematics has served physics superbly, yet it is not a Euclidean number system. Its imaginary unit came in as an afterthought, attached to...

Investigation of the Solidification Pathways and Magnetic Properties of Pr 6 Fe 13 M (M = Cu, Ga, Ge) Compounds

RE 6 Fe 13 M phases play an important role in enhancing coercivity of RE–Fe–B magnets, whereas their underlying mechanism remains unclear. Investigating the formation temperature, solidification path, and ground magnetic state of the Pr 6 Fe 13 M phase is essential for further cl...