Research works

Statistical Structure of the Historical Orderings of the I Ching Hexagrams: Pair Rule, Family Gradient, and the Limits of Demonstrability

The King Wen sequence orders the 64 hexagrams of the I Ching in an arrangement that has resisted explanation for three millennia. We present a statistical comparison of the three historical orderings (King Wen, Mawangdui, Jing Fang) against the binary ordering and against one ano...

One Medium: The Common Origin of the Maxwell, Dirac and Einstein Equations in the Octet-Hopfion Condensate

A companion synthesis of The BCT Superfluid Lattice Model. We show that Maxwell's equations of electromagnetism, the Dirac equation of relativistic quantum matter, and Einstein's field equations of gravitation — conventionally postulated as independent starting points — arise tog...

Tensor Invariants and Integral Theorems — Made Understandable (lecture notes)

Short introductory notes for university students on the unified system of tensor invariants. The many formulas of a vector analysis course – grad, div, rot, the Gauss and Stokes theorems, the Laplacian, the Green identities, Maxwell's equations – are in fact different faces of a...

The Unified System of Tensor Invariants — Complete Teaching Edition

This edition contains everything the academic article does – the full five-dimensional invariant table, all theorems, the ideas behind the proofs and the research directions – but in teaching language: before every formula it states what the formula will claim and why it is true....

Proceedings of the 42th National Gastroenterology Week

BACKGROUND/AIMS: Various studies have investigated the effects of abdominal massage (AM) and aerobic exercise training (AET) in managing functional constipation (FC). These studies have shown that both AM and AET alone have beneficial effects on FC. However, to the author’s knowl...

Sector-Switching Curl on the Klein Bottle — numerical verification report

Verification of the sharp statement formulated at the meeting point of the tensor-invariant system (jet/jad/dev) and the Möbius-Klein transform framework: on the Klein bottle the curl of a genuine (sigma-equivariant) vector field lives in the other sector (it is a twisted scalar)...

The complete singular-value spectrum of a twisted commutator with a rank-one factor and an application to the weighted Böttcher–Wenzel inequality

Let \(D\) be positive definite Hermitian and let \(T_X:Y\mapsto XDY-YDX\) be the associated twisted commutator on \(M_n(\mathbb C)\) with the Frobenius norm. For a rank-one factor \(X=\sigma uv^*\), an orthogonal block decomposition gives the exact operator norm \[\lVert T_X\rVer...

One Twist, Two Views — the connection between the tensor-invariant system and the Möbius–Klein transform

Two independently built frameworks – the unified tensor-invariant system of vector analysis (jet/jad/dev operators, dimensional ladder) and the spectral theory of non-orientable surfaces (Möbius and Klein transforms, sector decomposition) – rest on a single common actor: orientat...

Dissipative Quantum Gravity: Foundations, Stability, and Emergent Spacetime Architecture

Contraction of the complex Quantum Geometric Tensor across an 8D bipartite Hilbert space $\mathcal{H}_8 = \mathcal{H}_\text{NH} \otimes \mathcal{H}_\text{Herm}$ constructs a four-dimensional manifold with dynamic $(-,+,+,+)$ Lorentzian metric signature. Near the second-order Exce...

Caring networks for digital inclusion: how network weaving transforms responses to digital inequalities

Digital inequalities persist despite extensive policy and research efforts aimed at expanding access, skills, and technology use. Prior research has focused mainly on techno-centric, top-down interventions, which have been limited in their success due to their lack of relational,...

KUT Fundamental Field Gravity Theory — A Fundamental Field Theory Unifying Gravity, Light, Time, Black Holes, Elementary Particles, and the Origin of the Universe —

Scope of the Present Work and Future Development of KUT The present paper discusses primarily the physical origin of gravity within the framework of the Kawase Unified Theory (KUT). In General Relativity, gravity is described as the curvature of spacetime produced by mass and ene...

One Structure, Inside and Out: Experience as the Content Anchor of Structural Realism

Newman's objection holds that a theory attributing only structure to the world says almost nothing, since any domain of sufficient cardinality can be arranged to instantiate any abstract structure (Newman 1928). Structural realism has answered with Lewisian naturalness, causal re...

Spinors Beyond Dirac, Weyl and Majorana: The Flag-Dipoles

Abstract We recall the Lounesto classification of 1/2-spin spinor fields, based on the vanishing of spinorial bilinear quantities: the classes are the regular spinor fields (i.e. the Dirac field), as well as singular spinor fields, also known as flag-dipole spinor fields, admitti...

The Shape of a Total Theory: A Necessary-Conditions Net

Physics pursues a theory of everything, and metaphysics disputes whether the world is unified enough to admit one; both enterprises presuppose a standard for what such a theory would have to be. This paper states that standard. A theory is total if it quantifies over everything a...

The Shape of a Total Theory's Base: Categorial Foreclosures and What They Force

What must a theory's fundamental categories be like if it is to account for everything, its own theorists included? A recent paper derives the domains such a theory must address (Wozniak 2026). This paper asks what base could address them all, and answers by elimination. It first...

Digital Will Execution: The s.9 Checklist — A technical note on the formalities of will execution, the recurring failure points, and why England and Wales still lacks an assured route for wholly electronic wills

A will is one of the few instruments in English private law whose validity still turns on a formality framed in 1837 and executed correctly in a ceremony that death makes unrepeatable. Section 9 of the Wills Act 1837, in the form substituted by the Administration of Justice Act 1...

An Integrative Examination of Autism & The Autist: Professional, Neurological and Developmental

A thorough examination of the myriad factors modulating autistic expression, trait severity, health, employment and external perception. The objective of this research was not to provide hope or illustrate one-size-fits-all solutions for the diverse autistic population, but inste...

Proof of the Riemann Hypothesis:The Logical Necessity of a Galois Connection

本文对黎曼猜想提出了严谨的证明。核心思想是黎曼ζ函数的非平凡零点集合与临界线自然通过函数方程诱导的伽罗瓦联络(定理~\ref{thm:galois_connection})相连。该伽罗瓦联络的满满条件(定义~\ref{def:fullness})等价于黎曼猜想(定理~\ref{thm:等价}),而该满满条件是ζ函数公理系的逻辑必然(定理~\ref{thm:...

A Consulting Method for Operational Process Diagnosis and AI Readiness

This document describes the consulting method used to diagnose, assess, and improve operational processes in organizations, together with the standards and methodologies it draws on. The method is organized into three progressive levels — Initial Diagnosis, Maturity Diagnosis, an...

Multiple Origins of Life on Earth: A Physical Scenario Based on the Phase Topology of Water

We are asked to think that all life on Earth had one ancestor – LUCA. But what if it's a mistake? What if life arose not just once, but hundreds and thousands of times—in every hydrothermal vent, on every clay surface, in every zone where water became orderly? In this article, we...