Research works

Erdős–Straus Project Archive: Residual Divisor Shells, Quotient Surpluses, and Finite Verification

This record gathers the Erdős–Straus project under its existing concept DOI. The principal paper develops the residual divisor-shell equivalence and its origin counts and records the exact certificate p = 12289, R = 11, m = (3,6,3). It proves the Star–Kneser quotient-surplus theo...

The Evolutionary Factory of False Mysteries The Infectious Origin of Human Intelligence

An Epistemological and Paleogenetic Framework on Host-PathogenCo-Evolution, Core Regulation of TKTL1, and the Epigenetic Hijacking of Cerebral Expansion. Dogmatic science views evolutionary milestones, such as the single amino acid substitution in the TKTL1 gene distinguishing mo...

Certified exact sums of primes over dyadic intervals via a ladder of generalized factorials

For S(m), the sum of primes in the dyadic window (m, 2m], the paper constructs a ladder of generalized factorials whose integer exponent sequences are Chebyshev polynomials rescaled to take integer values. The p-adic valuation at a window prime p equals the exponent polynomial Q_...

Accountable Agents - Declarative Control Architecture for Operational AI Systems

Accountable Agents: Declarative Control Architecture for Operational AI Systems introduces a proposed architectural class of generative AI systems designed for environments in which model outputs may trigger tool use, workflow execution, state changes, external communication or o...

The Silence Paradigm: A Theoretical Framework and Protocol for Testing the von Neumann–Wigner Interpretation Using Controlled Observer States in Shielded Environments

A foundational problem in physics remains unresolved: the role of the conscious observer in quantum measurement. This paper develops a theoretical framework, the Silence Paradigm, that generates testable predictions bearing on that problem. It treats the observer's state of consc...

Diagnosing Motor-Imagery BCI Failure: A Three-Step Diagnostic Framework

Version 3.1.0. This version adds the four figures. The v3.0.0 PDF carried the captions but not the artwork, because the manuscript is prepared with figures supplied as separate files, which is what the journal requires and what a reader does not want. The text is otherwise the ve...

Time as Actualization: A foundational ontology reconciling the quantum future and the relativistic past

Quantum mechanics describes the potential future; general relativity describes the actualized past; the present is the process of actualization that turns the one into the other. That single move is Time–Actualization (TA), the foundational ontology set out here. TA assumes the q...

PAPER-FBT0C: Structural Correspondence Principle - A Hierarchical Reading of Symplectic Invariants in the Fracture–Berry–Tension

This paper proposes a Structural Correspondence Principle for the Fracture–Berry–Tension (FBT) framework. Within the six-dimensional coherent-state symplectic readout established in FBT0A, B6 ≃ (CP1)3, Ω = λ1Ω(1)FS + λ2Ω(2)FS + λ3Ω(3)FS , λk > 0, the natural wedge hierarchy of th...

Testing a single fundamental principle that yields general relativity, particle physics, and gauge anomaly cancellation

The Lagrangians of general relativity and of the standard model of particle physics with massive neutrinos follow from a single fundamental principle based on fluctuating strands of Planck radius. The principle yields unique and running values for the elementary particle masses a...

QG-CRM: Ultraviolet Completion of the Curvature Relaxation Model via Quantum Quadratic Gravity

```html Paper VI of the Curvature Relaxation Model (CRM) series. DRAFT We present QG-CRM, the ultraviolet-completed Curvature Relaxation Model. The γR² term in the CRM Lagrangian admits a natural UV completion via asymptotically free quantum quadratic gravity (QQG), following Liu...

The voice of the universe

It is remarkable that the standard cosmological model, established in the 1960s, has remained conceptually unchanged for more than six decades despite the considerable evolution of technologies, observations, and physical theories. This unusual stability highlights the importance...

The Replication Hypothesis: Information as a Fundamental Property of Matter and Evolution as a Continuation of Physics

Information is not a description applied to matter after the fact, but is given along with the spin and position of its smallest constituents from the very beginning. From this premise of information physics, the essay develops a hypothesis about the question of where biological...

Bidirectional higher-order-mode slot antennas with sidelobe suppression

In this paper, three higher-order-mode slot antennas with high gain and bidirectional radiation characteristics are proposed. Each proposed antenna consists of a folded slot fed by a microstrip line. One antenna operates in the fourth-order resonant mode, whereas the other two op...

A Journal Has Two Separable Properties: Emergent Thematic Identity and Competitive Position.

For decades the quartile of a journal has been read as a statement about the journal itself: a move from Q1 to Q2 is taken to mean decline. Yet a quartile is a relative ranking within a reference set, whereas a journal also possesses properties that arise from what it actually pu...

Rational Molecular Design to Improve Digital Polymer Readout in Aerolysin‐Based Nanopore Sequencing

ABSTRACT Nanopore sequencing is a promising method for decoding synthetic digital polymers, but translocation signals are often complex. This study examines the influence of macromolecular design on the accuracy of nanopore sequencing. Nine phosphoramidite monomers were synthesiz...

The Impact of Road Traffic Noise on Apartment Prices in Kraków: A Hedonic Analysis of the Primary and Secondary Markets

This study examines the effect of road traffic noise on apartment prices in Kraków, treated on an equal footing with the other price-forming attributes. The analysis draws on 6244 transactions from the primary and secondary markets concluded between January 2021 and June 2022. Mu...

E8 Phi‑Coupled Exciton‑Qubit Lattice for Biological Quantum Cognition — E8 Intelligence Research

The principle posits that the 240‑dimensional root lattice of E8, resonant at 132 Hz, provides a geometric scaffold for coordinated wavelike exciton transport in chlorophyll and nuclear‑spin ³¹P qubits within Posner molecules, where inter‑vector couplings follow the golden ratio...

CosmoBeating • Fungal Geometry and Topology — Paper III: Symbiosis and System Interface Ontology

CosmoBeating — Fungal Geometry and Topology (CB-FGnT)A Complex-Systems Reading of Fungal Networks This is a short, non-technical companion to the 15-paper CB-FGnT series. It is written for readers with a background in mycology, network science, or complex systems — not for reader...

Advancing Oil-Free Reciprocating Compressor Technology For Hydrogen Service: Experimental Investigation Of Seal Performance

Abstract High-pressure hydrogen storage requires up to 700 bar to achieve sufficient volumetric energy density, with reciprocating compressors preferred for their high flow capacity and oil-free operation. Meeting purity requirements while handling hydrogen's low molecular weight...

A Measure-Theoretic Formulation of Hybrid Systems Beyond Zeno Time

Hybrid dynamical systems may exhibit Zeno behavior, where infinitely many discrete transitions occur in finite time, leading to a loss of well-posedness of trajectories beyond the accumulation point. This paper develops a measure-theoretic formulation of hybrid dynamics by repres...