Research works

Terminal High-Frequency Structure for Quadratic-Root Bilinear Sums: Reciprocal-Prime Decay, Residual Orthogonality, and Fixed-Core Twist Families

We study the terminal high-frequency regime of a quadratic-root bilinear architecture in which the long prime variable has length $D = K^2$ and a reciprocal phase of size $K$ survives. This regime is deliberately separated from the low-frequency exact-Kummer theory treated previo...

Projnowean Quantum Gravity framework: supported by high significance multimessenger evidence

The Projnowean Quantum Gravity (PQG) framework introduces a triple‑pipeline system designed to test for Planck‑scale dispersion effects across independent physical sectors. The model assumes that quantum‑gravity induces small, energy‑dependent corrections to relativistic propagat...

Execution-Time Authorization for AI Agents: A Formal Framework for Deterministic Governance Boundaries

Execution-Time Authorization for AI Agents formalizes execution-time authorization (ETA) as a deterministic governance boundary for AI agents and other autonomous systems whose proposed actions may produce real-world effects. The paper defines ETA as a deterministic runtime enfor...

The Impedance of Information — One Möbius Coordinate for Decoherence, Entropy and Extractable Work: Measured from a Superconducting Qubit to a Black-Hole Ringdown; Two Predictions Refutable Against Existing Literature; and a Self-Audit of the Framework That Produced Them

The coordinate is an impedance. This version proves that the framework's reduced coordinate and the Smith chart of transmission-line engineering are the same Möbius transformation, and that the binary entropy is its primitive. It also corrects three errors of fact in the deposite...

Epistemic Inventory and Taxonomy of Claims

Here we present four companion documents for the program corpus listed below. The Taxonomy of Claims lists the theory's claims and assigns each one a status. The claims are grouped in four tiers: Framework (the laws and constants, which the theory does not derive), Derived from F...

Minkowski Bounds for Pasten's Arithmetic Derivative Lattices in the Squarefree Subfamily

For each coprime triple $(a,b,c)$ with $a+b=c$, Pasten (2021) constructs a universal derivative lattice $F(a,b)$ of rank $\omega(abc)-1$ from the linear constraint imposed by the weighted arithmetic derivative. We prove that for squarefree coprime triples, the lattice determinant...

Path-History: An Archival Record of Research Genesis, 2023–2026

This release extends Path-History Archive v0.1, first published on 17 August 2026. The three files of v0.1 are retained unchanged. A fourth file, Path-History Archive: Addendum v0.25, records research lines that were omitted from or compressed within the original Main document, t...

The Intent Bottleneck: When AI Compresses Delivery, Strategy Becomes the Constraint

This working paper argues that AI-native delivery compresses only the final stage of a six-stage chain running from an institution's covenant with those it serves to running software, so that by Amdahl's law the constraint moves upstream into how organisations form, prioritise, a...

Veronese Collapse in the Measured Trajectory Span: What the O28 Covariance Does and Does Not Identify

Paper O28 reported effective covariance rank ${r_{\mathrm{eff}}}=3$ in the supplied three-coordinate space ${H_{\mathrm{eff}}}$. This paper audits what that finite-data result identifies. In an extended recomputation, rank three remains modal but is not invariant: it occurs in $3...

C2GRAPH: A Repository-Level Governance Package for Disciplined, Measurable AI Coding Agents

AI coding agents increasingly operate as long-horizon software actors: they inspect mutable repositories, call tools, preserve state across interruptions, and may eventually modify artifacts whose failure modes are difficult to reverse. This paper presents C2GRAPH (Convert to Gra...

Interpretable ECG Arrhythmia Classification via 1D-CNN and Grad-CAM: Evaluating Lead-Wise Attention and Cross-Institutional Generalization on PTB-XL

Deep learning models for automated ECG interpretation are typically evaluated only in-domain, leaving open whether they generalize to recordings from other institutions. We present ECGNet, a compact 1D convolutional network (~47,000 parameters) trained on PTB-XL for multi-label c...

Audited Structural Results for the Two-Player 3n ± 1 Game

This is a revised and audited version of the work originally published on 8 August 2026. The original version claimed a proof that the two-player 3n ± 1 game has no DRAW positions. Subsequent adversarial auditing revealed gaps in the global proof architecture, and that claim is t...

Version 6: The Progressive Redistribution of Light and the Multiple Glass Plate Experiment: Empirical Tests of the Photon Fragmentation Model

Abstract: This paper presents two complementary empirical tests designed to distinguish the Photon Fragmentation Model from the standard wave interpretation of light. The first test examines the Progressive Redistribution of Light—the characteristic bright‑center‑to‑dark‑edges pa...

The Silence Experiment: A Multi-State Protocol for Detecting Consciousness-Dependent Decoherence in Shielded Environments

This paper specifies a controlled experimental protocol for testing the von Neumann-Wigner interpretation of quantum mechanics, the hypothesis that consciousness plays a role in quantum state reduction, against the prevailing environmental decoherence framework. It measures wheth...

PAPER-FBT01A: Symplectic Pairing, Connection Curvature, and Dual–Phase Readout

The present paper reconstructs the curvature-readout layer of the FBT framework. The reconstruction follows the removal of the primitive physical 4+2 claim from FBT0A and the single-carrier relative-torus architecture of FBT0B v4.x. The foundational coherent carrier remains Bcoh6...

Toward a Narratology of Disposition

Contemporary narratology has precisely described phenomena such as focalization, the representation of consciousness, and the management of narrative information; yet it still lacks a principle capable of accounting for them within a unified framework. This article proposes such...

Quantification and Mechanism of the Interborehole Effect in Coal Seam Gas Drainage

Abstract Coal seam gas drainage is crucial for reducing carbon emissions and ensuring safe coal mine production. In engineering, multiborehole combined drainage is widely adopted. However, the interaction among boreholes leads to the complex superposition of their respective infl...

Intraprocedural echocardiographic guidance in transcatheter aortic valve implantation

Abstract Transcatheter aortic valve implantation (TAVI) is an established treatment for severe aortic stenosis across all surgical risk groups. Traditionally performed under general anesthesia with transesophageal echocardiography (TEE) guidance, TAVI has evolved toward a minimal...

Acute Effects of Contract–Relax PNF With and Without Neuromuscular Electrical Stimulation on Hamstring Flexibility and Jump Performance in Adolescent Soccer Players: A Randomized Controlled Trial

Background The additional value of neuromuscular electrical stimulation (NMES) during contract–relax proprioceptive neuromuscular facilitation (PNF-CR) stretching remains unclear, particularly in adolescent athletes. It is also unknown whether combining PNF-CR with motor-threshol...

Structural reductions toward the quartic Hessian conjecture in dimension four

Anonymous, AI-assisted, unrefereed computer-assisted candidate. Exact five-support exclusion, tangent multiplicity-six nullcone containment, three rational localized-colon elements, and sixteen exact rational source-module syzygies in a frozen fourth Macaulay block. This deposit...