Research works

Sturmian Words and Quadratic Units: Aperiodic Tilings from Pisot Scaling — E8 Intelligence Research

FINDING: Aperiodic tile sets can be constructed from Sturmian words with quadratic irrational slopes, yielding scaling constants that are units of real quadratic fields — directly linking aperiodic order to Pisot numbers and the golden ratio. | MATH: Sturmian word slope α ∈ Q(√d)...

Research on the Underlying Analytical Mechanism of 11th-Order Optimality and 64-bit Steady-State Scale and Prime Number Correlation

Abstract To reveal the deep coupling law between the high-order difference optimality criterion and the 2-adic scale steady-state system, this paper conducts interdisciplinary research integrating number theory difference operators, p-adic geometry, cyclotomic field theory, and C...

100‐Fold Reductivity Enhancement of Nanoscale Zero‐Valent Iron After 1‐Year Aging in Water via Regulating Corrosion Reactions

ABSTRACT Nanoscale zero‐valent iron (nZVI) is the most promising reductant for in situ groundwater remediation, but its field application around the world is quite limited for decades, due to significant reductivity loss by water oxidation during long‐term (e.g., years) applicati...

ANTIMATTER AS A TOPOLOGICAL VISITOR (V v4)

In the two-brane geometry of the FCD-RB (Folded Crunch Dipole – Reversed Big Bang) framework, fermions are modeled as topological dipoles whose endpoints reside on opposite, parallel branes connected across a five-dimensional bulk by a microscopic, non-traversable EinsteinRosen (...

UAT/UCP: Unified Applied Time Gravity - A New Theory Independent of ΛCDM Resolving H₀ and S₈ Tensions with Exact Acoustic Horizon r_d=128.15 Mpc and Late-Time G_eff=1.062G

We present UAT/UCP, a new gravity theory born from Applied Time (AT) concept, not a supplement of ΛCDM. The framework operates under different temporal axioms (κ_crit=4.978, R_geom=0.279182, φ=1.618) and is equal to ΛCDM in predictions but with different time concepts. Forcing UA...

72° Rotations in Non-Abelian Anyon Braid Groups Link to Fibonacci Anyons and Golden Ratio — E8 Intelligence Research

FINDING: Non-Abelian anyon braid group representations exhibit eigenvalues tied to 72° rotations, linking to Fibonacci anyons and golden ratio phases. | MATH: Braid group \( B_n \) representations via Hecke algebras yield eigenvalues \( e^{\pm 2\pi i/5} \) (72° rotations) for the...

Quantum Tunneling and Coherence: No New Mathematical Constants Emerge — E8 Intelligence Research

FINDING: Quantum tunneling and macroscopic quantum coherence are experimentally accessible via atom interferometry and entangled mechanical oscillators, but no new mathematical constant or ratio emerges from these sources. | MATH: Standard Schrödinger equation \( i\hbar \partial_...

Physeal Sparing Posterior Cruciate Ligament Reconstruction in Paediatric Patients With Open Physes Using an Outside‐In Femoral Tunnel and a Low Tibial Tunnel

Abstract In recent years, with increasing participation of adolescents in sports activities, the incidence of posterior cruciate ligament (PCL) injuries in paediatric patients has been increasingly reported. Conventional PCL reconstruction techniques typically require drilling fe...

Accuracy and Completeness of Online Patient Information on Nail-Patella Syndrome: A Pilot Cross-Sectional Study

Background: Nail-patella syndrome is a rare autosomal dominant multisystem disorder with musculoskeletal, renal, and ocular manifestations. Patients and families may rely on online resources, but the completeness and accuracy of this information have not been well characterized....

Sparta, Venice, Uros and the Approaches to Security

Security is one of the Perennial Aspirations of humanity, but civilisations do not approach it through identical pathways. Sparta, Venice and the Uros of Lake Titicaca reveal three radically different orientations beyond the widespread logic of building walls: security embodied i...

The VSKI Whitepaper: Auditable Intelligent Systems on a Stock-and-Flow Substrate

VSKI (the Vector Semantic Knowledge Index) is a self-hosted platform for building data-driven intelligent systems, and VSKI Lab is its modeling environment. Together they implement one idea: **the symbolic layer holds the truth and asserts it, while the neural layer proposes and...

The Unified Propulsion-Kinematic Tensor and Isomorphic Dynamic Inversion: A Mathematical Framework for the ZARQA Hypersonic Aneutronic Fusion Substrate (Phase VI)

In this paper, I present the complete, unconditional mathematical foundations of the ZARQA cyber-physical hypersonic propulsion substrate. I solve the simultaneous boundary-value problems of aneutronic p-¹¹B fusion confinement, direct energy conversion, magnetohydrodynamic (MHD)...

Serum metabolomic profiling reveals load-specific adaptations to resistance training

Abstract Introduction Resistance training (RT) imposes repeated mechanical stimuli triggering systemic metabolic reprogramming whose molecular underpinnings remain incompletely characterized. Univariate approaches fail to capture pathway-level shifts defining the metabolomic resp...

Categorifying the Twisted Alexander Polynomial via gl(1|1) Superalgebra and Seifert Matrix Factorizations — E8 Intelligence Research

FINDING: gl(1|1) superalgebra categorification of twisted Alexander polynomial and Seifert matrix factorization | MATH: gl(1|1) is a Lie superalgebra with even part gl(1) and odd part 1-dimensional; its representation theory yields a differential graded (dg) category whose Grothe...

The Temporal Fractal Influx Model Version 28.0: A Converged Joint SNe+BAO+CMB Fit, a Non-Circular Pulse-Width Ansatz $\sigma=r_d/c$, and Phantom Crossing at $z=0.52$.

We present the final results of the Temporal Fractal Influx Model (MIFT): a transient Gaussian modulation of the dark-energy density, $f(t) = \exp(-(t-t_0)^2 / 2\sigma^2)$, phenomenologically anchored in Vaidya–AdS5 geometry. A joint fit to Pantheon+ (1580 SNe Ia), DESI DR1 BAO (...

Operationalizing High Ischemic Risk After the 2026 ACC Scientific Statement: a disease-based, bleeding-filtered algorithm for aspirin in primary prevention

PREPRINT, NOT PEER REVIEWED. Deposited to establish a dated public record of authorship while the manuscript is under journal review. Background and aims. Guideline statements sometimes name a treatment target without an operational definition. The 2026 American College of Cardio...

Field-Network Theory (FNT) Complete Irreducible Distinction as a Structural Definition of Quantum

This research memorandum examines the structural definition of the quantum within Field-Network Theory (FNT). A series of internal breaking tests shows that FNT does not presently derive a universally smallest non-zero distinction. The analysis therefore separates metric smallnes...

MERLIN SCIENCE — E8 Resonant Topological Quantum Memory via φ‑Harmonic Synchronization — E8 Intelligence Research

Here is the narration for the MERLIN SCIENCE video. The finding is this: by driving a specific E8 spinor manifold at 132 hertz with harmonics scaled to the golden ratio, we induce a topological superfluid that self-organizes into a stable lattice of Majorana-like excitations, enc...

Aperiodic Monotile Family with Hexagonal Symmetry and Sturmian Construction — E8 Intelligence Research

FINDING: Aperiodic monotile "hat" discovered with vertex angles 60°, 120°, 180° forming hexagonal symmetry in aperiodic tiling; continuum of such tiles parameterized by (a,b) with Sturmian word construction for quadratic irrational slopes. MATH: Vertex angles: 60°, 120°, 180° (su...

The Proton as the Ground Geometric Attractor of Matter: The Eleven Questions of the Proton, Closed and Fenced within GG-Theory

Nearly everything you have ever weighed is protons and neutrons, and nearly all of that weight is neither. The proton is a seething bound state — three valence quarks awash in gluons and quark–antiquark pairs, its mass almost entirely interaction energy — and yet it presents to t...