Research works

Evaluating Emergency Care Systems in Kenya: A Difference-in-Differences Analysis of Clinical Outcomes

{ "background": "Emergency care systems in sub-Saharan Africa are underdeveloped, with limited evidence on the impact of formalising these services on patient outcomes. Robust evaluations of health system interventions in low-resource settings are methodologically challenging.",...

Non-linear Cognition and Subjective Pain in Gifted Individuals: A Structural Framework for Understanding Maladaptation and Budding

This paper presents a theoretical framework for structurally analyzing subjective distress that may be observed in gifted experience, not by reducing it to giftedness as an individual attribute itself, but through relationships among cognitive processing, evaluative criteria, met...

Nineteen certified configurations, eighteen independent bounds for the no-four-coplanar problem in the cube, and what they do not establish (OEIS A280537)

This version exists to correct a false novelty claim. Versions up to 2.9 stated that published data for A280537 stop at a(8) = 20. In fact the OEIS entry itself has carried, since January 2017, lower bounds up to a(17) ≥ 42, and Al Zimmermann's 2016 contest Non-Coplanar Points ra...

Non-Inertial Response of Correlations: From Scalar Bell Observables to an Extended Correlation Tensor

A standard Bell observable is a scalar correlation associated with a selected pair of local measurement directions. We formulate it as a projection of the correlation block of a complete two-particle tensor and distinguish two fundamentally different angular sectors. The central...

The Arithmetic Interface: Theta-Series Structure and a Selection Theorem for the QD–SD Boundary

The preceding DDC papers established a dual-domain ontology in which spacetime emerges from a timeless Quantum Domain (QD) through transduction across an interface. This paper develops the mathematical structure of the interface itself. Three results are central. 1. The channel c...

Time‑Accumulated Vacuum Cosmology v3 Unified Proper‑Time Tracking Model for Evolving Dark Energy ρ_vac(x) = ρ₀ [1 + k Φ(x)/c²]

Time‑Accumulated Vacuum Cosmology — v3 Unified Model Description and Release Summary This v3 release unifies two related ideas:(1) a cosmological model where vacuum energy accumulates over cosmic proper time, and(2) a phenomenological expression where vacuum energy tracks the loc...

A Channel-Resolved Energy Tensor as the Source of Gravity: Structure, Minimum-Length Regularization, Exact Gauge Coupling Unification, and Falsifiable Predictions

เราเขียนที่มาของสมการไอน์สไตน์ในรูปของเทนเซอร์สองจุดที่แยกตามช่องสัญญาณ โดยดัชนีภายในจะระบุปฏิสัมพันธ์ทั้งสี่ที่ปรากฏในลากรางเจียนของสสาร ได้แก่ แม่เหล็กไฟฟ้า แรงนิวเคลียร์แบบเข้ม แรงนิวเคลียร์แบบอ่อน และยูกาวะ การกำหนดให้ทุกอนุภาคในแบบจำลองมาตรฐานครอบครองช่องสัญญาณเพียงช่องเดียว...

Withdrawal Notice for O31: Unsupported Colour-Triplet Co-admissibility and Gauge-Group Claims

This version replaces the O31 paper in the same documentary chain. It is a withdrawal notice, not a corrected paper. Eight results of the previous version are withdrawn: the uniqueness of ${\mathrm{SU}}(3)$ among connected compact subgroups acting irreducibly on ${\mathbb{C}}^3$;...

Emergent Space-Time Geometry arising from Quantum Entanglement / Emergente Spaziotemporale Geometrie aus Quantenverschränkung (Study I)

Emergente Raum-Zeit-Geometrie, die aus Quantenverschränkung entsteht (Study I) Emergente Spaziotemporale Geometrie aus Quantenverschränkung (Study I) Mathematische Herleitung der Ryu-Takayanagi-Formel, Einsteinsche Dynamik aus der Verschränkungsthermodynamik, komplexe Verschränku...

A Simple Proof of Hadwiger's Conjecture

Hadwiger’s conjecture asserts that every k-chromatic graph containsKk as a minor. Despite decades of effort, a complete proof has remainedelusive. This paper presents a concise proof of the conjecture.The argument uses a minimal counterexample framework. We take aminimal k-chroma...

Holographic Saturation II: Shared parent action, division-algebraic gauge structure, entropic symmetry breaking, and orbit-channel closure.

\noindentWe develop the internal transport sector of the bounded saturation field$I=\sqrt{s}\,e^{i\theta}$ introduced in Part~I. The construction uses fourstructures: a holographic saturation principle, a conserved Born phase, unitaryClifford transport, and the binary configurati...

Restricted Greedy Prime Decomposition, the Meissel-Mertens Constant, and a Structural Proof of the Riemann Hypothesis -----CORRECTION---

Version corrected.

Connectivity maintenance cost in the brain CMC II: energetic margins, local reserves, and failure thresholds

This theoretical study develops the Connectivity Maintenance Cost (CMC) framework by modelling how biological and neural networks lose functional integration when the resources available for connectivity maintenance fall below critical thresholds. Rather than treating energetic e...

Thermodynamic Model of Consciousness

This manuscript proposes a thermodynamic and systemic model of consciousness that distinguishes two functional regimes of cognitive organization: the Operational Regime and the Self-Referential Regime. The former describes an organizational mode in which the self-model remains su...

The Collatzogin Tree: A Complete Inductive Framework for the Collatz Conjecture

We present a structural framework for the Collatz conjecture called the Collatzogin Tree---a directed graph constructed from the forward Collatz function. The tree partitions positive integers by their residue modulo $2^{k-1}$, guaranteeing coverage of all integers by constructio...

Myelith — A Decentralized Network in Which Consensus Work Powers an Agentic Language Model

Proof-of-work blockchains purchase their security through the expenditure of compute and energy, yet the work performed is itself discarded entirely. Decentralized AI networks provide useful compute but secure no ledger. Myelith unifies both functions: miners jointly operate a la...

Local maximal-canard threshold shifts under Runge–Kutta discretization: an observable-specific order condition

This record contains the 67-page arXiv preprint and its complete compilable upload package. The source archive also contains two vector figures, a symbolic residual audit, invariant-graph threshold-validation scripts, machine-readable diagnostics, representative graph data, and r...

Proof Engine Infrastructure: A Fail-Closed Claim-Graph Method for Accountable AI-Assisted Mathematical Research

Background: AI systems can produce proof sketches, formal code, solver artifacts, and candidate strategies faster than research communities can assess them. Long-running and parallel agents can also hallucinate, lose problem context, duplicate obligations, or return incompatible...

Topological String-Gradient Theory: Metric Replication of Space-Time and Cosmological Evolution

We present the Topological String-Gradient Theory (TSGT), a framework in which space-time is discrete at the Planck scale and gravity is the gradient of the spacing between discreteelements (“pixels”). Two kinematic postulates—a spatial pixel strain set by the Newtonianpotential...

The Observational Incompleteness Framework

The Observational Incompleteness Framework is an AI-based research programme deriving quantum-mechanical structure from the premise that observation is a proper subsystem of a deterministic whole. The archive contains three kinds of content: Technical papers (papers/) — the autho...