Research works

The Undecidable Simplicity of the Collatz Conjecture — E8 Intelligence Research

FINDING: The Collatz Conjecture (3n+1) is the simplest undecidable-looking problem; Hilbert's Entscheidungsproblem and Turing's halting theorem prove some problems are fundamentally non-computable. | MATH: Collatz map: T(n) = n/2 if n even, (3n+1)/2 if n odd. No closed-form solut...

Configurational Approaches to Optimal Distinctiveness: Exploring Signal Sets and Originality for Entrepreneurship Legitimacy

For entrepreneurs, the legitimisation process in the early stages is crucial for acquiring essential resources and ensuring the viability and growth of their new ventures. Drawing on signalling theory and optimal distinctiveness literature, the article investigates the configurat...

The ARA theory of compartmental autoimmunity: Access–Recognition–Amplification as a sequential architecture of autoimmune phenotypes

"Autoimmunity" groups together, under a single term, mechanistically heterogeneous processes that existing models of molecular mimicry and loss of tolerance fail to explain through a shared mechanism. It is proposed that autoimmunity is not a mechanistically homogeneous natural k...

Swallowing Rehabilitation in People With Spinal Muscular Atrophy: A Scoping Review

Spinal muscular atrophy (SMA) is a neuromuscular disorder associated with motor, respiratory, and swallowing impairment. This scoping review aimed to explore how swallowing rehabilitation programmes and outcomes have been reported and measured in people with SMA. The Preferred Re...

Bifasic Time and Gravitational Time Dilation: Consistency with Three Experimental Measurements and a Strong-Field Divergence

The Elastic Three-Dimensional Lattice (RTE) model proposes that time is not a continuous flow but a sequence of discrete bifasic cycles — absorption and release phases of the elastic lattice. Where elastic tension K̃(r) is higher (near massive objects), each cycle takes longer to...

Homeostatic Event-Driven Control Architecture: Autonomous Central-Place Foraging, Binary Memory Indexing, and Swarm Federation

Autonomous robotic exploration in resource-constrained, unstructured environments is often bottlenecked by the high computational overhead, sample inefficiency, and opacity of deep reinforcement learning (RL). This paper presents the Homeostatic Event-Driven Control Architecture...

Icosahedral Symmetry, A5 Isomorphism, and Golden Ratio in Viral Capsid Geometry — E8 Intelligence Research

FINDING: Icosahedral symmetry group order 60 is isomorphic to the alternating group A5, and viral capsid T-number geometry is governed by golden ratio φ through Caspar-Klug triangulation numbers. MATH: - Icosahedral rotation group order = 60 = 2² × 3 × 5. Simple group, isomorphic...

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 (...

Certified nonexistence of a 20-vertex graph with consecutive Laplacian spectrum

Pre-publication exact certificate archive, independently checkable verification code, canonical results, and companion manuscript for the nonexistence of a simple graph on 20 vertices with Laplacian spectrum {0,1,...,19}. The frozen certificate archive has SHA-256 1eeda59a36dc835...

Quantum-Cosmo Unification via Radion Modulation in Fractal Inflationary Branes and Entropic Flux Conservation in Boundary Singularities

We propose a unified quantum and relativistic model based on a fractal multiverse topology, wherein local spacetime is embedded as a 3-brane within an eleven-dimensional bulk hyperspace. We demonstrate that the cosmological constant (Λ) is induced by an inter-brane dilaton and gr...

The Riemann Xi Theta Mixture: Missing Information, the Healing Law, and a Sharp Finite-Resolution Theorem

This Zenodo record archives the canonical materials for Aaron Woffinden's 2026 preprint The Riemann Xi Theta Mixture: Missing Information, the Healing Law, and a Sharp Finite-Resolution Theorem, affiliated with the Institute of Unitive Cross-Domain Morphology. The record contains...

MERLIN SCIENCE — E8 Phi‑Temporal Modulator for Predictive Quantum Cascade Networks — E8 Intelligence Research

Here is the narration for the MERLIN SCIENCE video. The finding is this: by interweaving the 240 root vectors of the E8 Lie group with a 132 hertz base frequency and a phi-scaled harmonic progression, the resulting temporal lattice could create a self-organizing cascade pathway t...

Emergent Randomness and the Anatomy of Deterministic Decay in Computational Finitism

Standard Quantum Mechanics posits that randomness is ontological, a fundamental feature of reality where outcomes (such as radioactive decay or wave function collapse) are governed by irreducible probabilities (the Born rule). In this paper, we challenge this paradigm through the...

Phi-Encoded Hyperdimensional Spinor Propagation — E8 Intelligence Research

We discover that the phi‑damped 132 Hz resonance, when phase‑locked across the eight concentric shells, generates a self‑similar spinor field that propagates along the 240 root vectors as a continuous hyperdimensional winding. Each winding encodes a quantized topological charge t...

A Numerical Koide Relation Linking Electroweak Couplings and the Squared Electric Charge

Substitution of the electroweak gauge couplings g = 0.652 and g′ = 0.357 into the empirical Koide relation, in place of two square-root mass components, yields a negative solution for the third component, x = −0.0916983, which numerically coincides with the negative squared elect...

Natolia, Anatole, Anatolios, and Anadulia: A Study of the Religious, Linguistic, and Political Layers in the Naming of Asia Minor

This independent research article examines the historical development of the names Natolia, Anatole, Anatolios, Anatolia, Aladuli, Aladule, Anadule, and Anadulia in relation to the geographical naming of Asia Minor. Rather than assuming that all these forms derive from a single l...

Processing-induced phase redistribution for enhanced self-corrosion control and discharge performance in Mg–Al–Mn anodes for Mg–air batteries

Abstract The long-term performance of Mg–air anodes in chloride electrolytes is governed by the interplay of phase architecture, self-corrosion, discharge-product evolution, and anodic utilization. This study elucidates the processing-dependent influence of Al in Mg–0.25Mn–xAl an...

Void-Weighted Line-of-Sight Integrals as Probes of the Primordial Magnetic Field, the Integrated SachsWolfe Eect, and Rotation Curve Asymmetry

We present the complete mathematical framework of the Ariza Length family a set of line-of-sight integral operators dened over the cosmic void network, eachdesigned to quantify a distinct physical aspect of the interaction between photonsor test particles and the large-scale stru...

CLASS-IMBALANCE METHODS IN REGRESSION-BASED ANAEMIA SCREENING: A COMPARATIVE EVALUATION

Imbalance corrections are known to harm calibration without improving discrimination in logistic risk models, but this has not been examined where a regressor predicts a continuous marker and categories follow from diagnostic cut-offs. Using 103 pregnant women, we compared class...

An Exactly Solvable Alternating Pole Tower: Closed-Form Resurgence, Lambert W Asymptotics, and Perturbative Zeta Degeneracies

We present the comprehensive asymptotic and resurgent analysis of an alternating pole tower function characterized by non-isolated essential singularities. Unlike generic asymptotic models where exponential data must be numerically fitted, this system is exactly solvable simultan...