Research works

The Zero-Density Convergence Theorem - RH via Mollified Moment Methods

The present monograph establishes an unconditional and constructive proof of the Riemann Hypothesis by demonstrating that the discrete counting function of exceptional zeros, N(1/2 + delta, T), evaluates identically to zero for all arbitrarily small deviations delta > 0. Historic...

Agent Behavioral Contracts II: Certifying Compositional Reliability Without Assuming Independence

Compositional reliability bounds for multi-agent systems multiply component reliabilities. That step is licensed by a conditional-independence assumption which is routinely stated and rarely tested. We test it. Two instances of one model, composed in a two-agent handoff, co-fail...

Axiomatic System and Core Constants of Discrete Variable Lattice Dissipative Functionals Well-Posedness Proof of Discrete Dissipative Helmholtz Problem on Finite Hierarchical Fractal Lattice

Abstract This paper constructs an axiomatic mathematical framework for discrete variable lattice dissipative functionals. Utilizing four mutually independent fundamental axioms as a minimal complete basis, it systematically investigates the operator properties, steady-state struc...

The Cost Is Not the Constraint: A Drift-Barrier Analysis of GPCR-Class Signalling in Unicellular Systems

A widely held intuition in evolutionary cell biology holds that complex signalling machinery is excluded from unicellular organisms by energetic expense. This paper tests that intuition on a well-posed case and finds it false. Explicit bioenergetic accounting places a complete G-...

The Orthogonal Torque: Redefining Magnetism as Lattice Torsion

The Orthogonal Torque: Redefining Magnetism as Lattice TorsionExpanded Edition — June 2026 Theory Paper Notice. This document presents a geometric framework and physical argument, not an empirical proof. Where specific, testable predictions are made they are explicitly labelled....

The Zero-Density Convergence Theorem - RH via Mollified Moment Methods

The present monograph establishes an unconditional and constructive proof of the Riemann Hypothesis by demonstrating that the discrete counting function of exceptional zeros, N(1/2 + delta, T), evaluates identically to zero for all arbitrarily small deviations delta > 0. Historic...

Exact Layer Streaming: LoRA Fine-Tuning of an 8B Model on a 4 GB Laptop GPU

Parameter-efficient fine-tuning is bounded by a hard constraint: the frozen base model must fit in GPU memory. Layer streaming — holding a small pool of decoder layers in VRAM and fetching the rest from host RAM on demand — removes that constraint in principle, but the published...

On the Statistical Origin of Physical Laws

We consider an embedded observer with no prior knowledge of the existence or nature of the dynamical process generating her observations and ask how such an observer should infer the underlying dynamics from a finite observational history. Rather than taking fixed dynamical laws...

When Current Taxids Make Historical Taxa Look New

A taxon can keep its biological identity while its numeric identifier changes over time. Reconstructing a past taxonomy state by resolving each sequence to its current-day identifier ignores this, and can make an already-existing taxon look newly created. Among 56 viral sequences...

ZQCM V1.4: First‑Principles Derivation of Standard Model Parameters from S³ Spectral Geometry and Spin(9) Root Systems

# Abstract This work develops the ZQCM geometric framework built on S³ spectral dimension analysis, Spin(9) Clifford algebra, Cartan depth hierarchy and chiral vacuum configuration, aiming to unify the origin of fermion mass hierarchies, CKM/PMNS mixing angles and Higgs mass reno...

Deep Collaboration Methodology 2.0

This study proposes and executes the Deep Collaboration Methodology 2.0 (DCM 2.0), taking responsibility attribution perception in contexts of AI use as its research object. Street-intercept interviews were conducted at Da'an Forest Park in Taipei and at several university campus...

Mandelbrot Fold: Spacetime as a Fractal Manifold with Memory

Title: Mandelbrot Fold: Gravity as Residual Geometric Memory in a Fractal Spacetime Summary: This paper presents a conceptual heuristic model that reinterprets gravity not as a force or a smooth curvature, but as residual geometric memory (“folds” or “creases”) in a fractal space...

On The Mathematical Foundations Of Physics

A description will be provided once the file is ready for public release.

GROUND-STATE NEGATIVITY OF TRUNCATED CONNES-VAN SUIJLEKOM FORMS FOR DIRICHLET L-FUNCTIONS.

The Connes-van Suijlekom (CvS) framework associates to a real distribution Don [0, L] a finite Galerkin matrix whose ground state encodes spectral data of an associated L-function. We construct the CvS kernel for real primitive Dirichlet characters $\chi_{D}$ D a fundamental disc...

Artian's Entropy and Second-Law Reference Theorem: Completed Records, Access Loss, and the A2-A3 Source-Volume Ledger

A Two-Coordinate Second Law with a Separate Source-Volume Ledger This paper separates two statements often compressed into one word. Completed physical records do not disappear from the source history, while a laboratory channel can lose access to distinctions that remain present...

A Unified System of Tensor Invariants and Their Integral Reduction Theorems

This paper organizes the complete operator set and the integral theorems of classical vector analysis into a single unified system. The starting point is algebraic: the second-order tensor invariant of a third-order tensor, given by the general epsilon -dual formula (the dual is...

A Nonmonotone Real-Rootedness Set for Symmetric Imaginary Shifts

AI Research Artifact. This work presents an exact rational degree-8 polynomial whose symmetric imaginary-shift real-rootedness set is neither an interval nor an up-set. The explicit witness and candidate proof were materially model-generated. Version 0.1.3 replaces mental-state a...

Longitudinal benchmarking of artificial intelligence models for the differential diagnosis of oral mucosal lesions: a controlled clinical validation study

Abstract To perform a controlled longitudinal benchmarking analysis of contemporary artificial intelligence systems for the differential diagnosis of oral mucosal lesions and compare their performance with historical benchmarks obtained using the same biopsy-confirmed dataset and...

The Cultivation of International Engineering Graduate Students in China: A Study under the Belt and Road Initiative

Abstract To address structural challenges in international civil engineering graduate education under the Belt and Road Initiative, this study systematically evaluates current training systems and proposes a collaborative model. Employing a quantitative survey design, structured...

Modelling the drivers of financial anxiety: a Bayesian network approach

Purpose This study aims to examine how financial anxiety is shaped within a system of interrelated cognitive, behavioural and contextual factors, with particular attention to the role of financial literacy and its relationship with financial behaviour and financial well-being. De...