Research works

A Primer on Frame-QL

An accessible introduction to Frame-QL as a query language for declaring governed analytical results rather than relational production procedures. The Primer explains why a requester can state the analytical result and final output anchor without specifying tables, joins, or GROU...

Toward a Multiscale Relational Ontology of Reality: Coherence as a Fundamental Relational Principle

Contemporary ontologies of reality are distributed among substantialist, relational, structural, and processual conceptions that offer partial answers to how something can acquire determination, preserve continuity, and transform without becoming a closed entity. This study first...

Frame-QL: An Introduction

Frame-QL is a query language for declaring a governed analytical result. The requester names the analytical quantities to be returned, declares the final anchor at which the result frame should exist, and states conditions that shape the request, without prescribing the relationa...

Periodic Infinite Ringsets in the Lipschitz Quaternions

Let L be the ring of Lipschitz quaternions and let w: Z → {i, j} have prescribed odd squarefree period m. For the infinite set Sw = {a + w(a) : a ∈ Z}, we prove an exact local-global ringset criterion. The set is a ringset if and only if w is nonconstant and, for every prime p di...

Representation Precedes Solvability: An Epistemology of Knowledge, Computation, and Natural Problems

This paper develops an operational account of representation choice in problem solving and model-relative complexity. A well-formed mathematical problem may already have determinate semantics and solvability questions in its native formal model. The additional representation inde...

A Mathematical Framework for Carrier-Based Physical Computation: Constraint Compilation, Engineered Dissipation, and Microwave-Referenced Readout

We formulate a mathematical framework for validating candidate carrier-based physical computations. Logical continuation is kept distinct from compilation, physical preparation, open-system evolution, restricted observation, and decoding. For every finite boundary/future relation...

Exact Semantic Carriers for Structured Physical Systems

Exact search states may be individuated by syntactic history or by a smaller carrier preserving exact continuation semantics. We give a sufficient traversal criterion for deterministic polynomial-time computation: exact semantic factorization, a polynomially bounded reachable car...

2D and 3D Nets by Self‐Assembly of Carbosilane Functionalized Polyphilic Liquid Crystals

Herein we report new liquid crystalline (LC) compounds with highly branched carbosilane chains. The considered compounds are so‐called bolapolyphiles, consisting of a rigid p ‐terphenyl core with two sticky glycerol groups at both ends and a bulky branched carbosilane side‐chain....

Culture as a System of Models

The concept of culture appears crucial in human sciences but remains ambiguous, which results in a diversity of its implementation and a multiplicity of approaches to culture itself. I view a good line of inquiry in developing a unified definition of culture that accommodates a n...

A Class of Regularization Schemes for Linear Ill-Posed Problems in Banach Spaces Under Low Order Source Conditions

In this work we consider, in a Banach space framework, the regularization of linear ill-posed problems. Our focus is on the recovery of solutions that have a logarithmic source representation. Such cases typically occur in exponentially ill-posed problems like the backwards heat...

Defect Flow, Incidence Rank, and Boundary Descent for Seymour's Second-Neighborhood Conjecture

We develop a degree-independent structural toolkit for Seymour's second-neighborhood conjecture. The main contributions are block and trap defect factorizations, arbitrary-baseline total-defect balance, protected-parent and Hall-deficiency separator geometry, Boolean defect flow...

SGBS-00: SETT Governance Benchmark Series: Overview and Methodology

This document defines the common methodology for the SETT Governance Benchmark Series (SGBS), a set of four controlled benchmarks and one adversarial stress test. The series evaluates a specific architectural question: what cost and what tested evidence arise when probabilistic r...

Observability Is Not Enforcement: A Doctrinal Framework for Distinguishing Compliance Instrumentation from Runtime Authorization in AI Governance Architectures (Working Paper v2.0)

AI compliance instrumentation can produce extensive evidence without controlling whether a governed action occurs. Many contemporary systems embed explainability artifacts, monitoring dashboards, drift detection, and integrity-protected audit bundles into development pipelines, i...

Four-Dimensional Pure Yang–Mills Theory: Wightman Construction and Mass Gap for Compact Connected Gauge Groups with Simple Lie Algebra

For every compact connected non-abelian gauge group with simple Lie algebra, including every finite central quotient as a distinct global form, this paper constructsa nontrivial pure Yang–Mills Wightman quantum field theory on R 4 with a unique invariant vacuum and a strictly pos...

Beyond Babel: What Remains When No Certainty Remains — An Introduction to Reflexive Minimalism

An essayistic introduction to a philosophical project grounded in epistemic finitude, written for readers without formal philosophical training. It begins from a contemporary predicament: we have never communicated more and rarely understood one another less, while nuclear weapon...

Antimatter as Reverse-Cascade: A Geometric Resolution of the Dirac Time-Reversal Paradox in Fractal Mechanics

The Dirac equation predicts antimatter as negative-energy solutions equivalent to particles propagating backward in time — an interpretation that has remained physically unsatisfying for 95 years. We propose a geometric resolution within Fractal Mechanics (FM): antimatter is not...

A Certified Lower Bound for the Localized Weil Positivity Frontier Across the Prime-7 Threshol

Version v2.0 We prove a computer-assisted full-domain positivity theorem for Suzuki’s localized Weil quadratic form at $$X = \frac{701}{100} = 7.01, \qquada = \frac{1}{2}\log\frac{701}{100}= 0.9736688505232493612\dots.$$ At this endpoint the active von Mangoldt ledger is $\{2,3,4...

From Symmetry to Invariance: Learning Galois Equivalent Representations in Finite Fields

Neural networks can learn algebraic operations from finite examples,but it remains unclear whether this ability transfers acrossmathematically equivalent representations of the same operation. Westudy this question through multiplication in finite fields underchanges of basis. Th...

Spatial-FWP Mamba - a dual-memory architecture for spatial sequence tasks.

Spatial-FWP Mamba is a dual-memory architecture for spatial sequence tasks. Mamba maintains temporal context, such as recent events and task progress, while Spatial-FWP maintains spatial context associated with previously visited locations. The two memory streams are updated inde...

The Digital Road Method: A Neutral Analysis of Structural Syntax, Modulo-9 Reduction, and Document Object Architecture in the Quranic Matrix

Abstract This paper presents a rigorous computational and theoretical evaluation of text conceptualized as an engineered data matrix, utilizing the Digital Road Method. By mapping the syntactic and structural boundaries of ancient Semitic text structures against the backend docum...