Research works

Dilatant Dark Fluid: Toward a Unified Quantum-Hydrodynamic Origin of Lorentz Invariance, Gravity, and Cosmological Phenomenology

This work introduces the dilatant dark fluid (DDF), a pervasive cosmic cold dark medium comprising two coupled ultralight bosonic sectors: a superfluid \( \phi \) and a heavier dispersed phase \( \varphi \) undergoing stress-induced shear jamming, distinguishing the framework fro...

THE CYCLOPS From Mythical Figure to Genetic Defect (Cyclopia Research Paper)

Due to limited research opportunities, cyclopia remains a mysterious genetic defect in the 21st century. It is the most severe manifestation of alobar holoprosencephaly and triggers failure of forebrain separation during the early stages of embryogenesis. Hence, this research pap...

Ballot-Admissible Fibonacci Ribbon Tableaux: Complete Enumeration for Arbitrary Alphabet Size and Fixed-Rank Asymptotics

Tenn proved the three-letter case and left the enumeration of ballot-admissible Fibonacci ribbon tableaux for alphabet sizes n >= 4 open. This work resolves that problem uniformly for every alphabet size n >= 2. Encoding ribbon columns as an alternating dominant type-A walk and c...

The Morgan Cadenza Engine: A Phase-Separated Substrate Architecture for Persistent Embodied Machine Minds

We propose a substrate architecture for a persistent embodied machine mind that resolves the stability–plasticity dilemma architecturally rather than algorithmically: by assigning the stable and plastic regimes of learning to two distinct phases of matter. A solid photonic core —...

Orusd - Clearing Token · Technical White Paper & Audit Reference Release 2.0

ORUSD — Version 2.0 ORUSD is a USD-denominated clearing token designed for direct account-to-account settlement on Sei EVM. It is implemented as a restricted ERC-20 token with 6 decimals and a deliberately narrow functional scope.Its primary purpose is clearing and settlement rat...

Cognitive Platonism II: From Natural Regularities to Abstract Forms

Cognitive Platonism offers a naturalistic account of abstract forms. It accepts the objectivity and non-arbitrariness of mathematical structures without requiring that they exist as autonomous entities in an independently given Platonic realm. The present paper clarifies this pos...

Cuteness as the Detection of Writability: A Theoretical Account of Relational Entry

Why do humans find some beings cute and not others? This paper argues that cuteness is the real-time detection of writability: a relational state in which another agent's interactive condition allows the observer's input. The argument proceeds in two steps. The first is deductive...

The Hybrid Group ⊕_γ over ℝ and 𝔽_p: Face Operations, Transport Rigidity, Gradient-free Learning, and a Fully-Resident Software Protection Loader

This work develops a self-contained algebraic framework based on the hybrid group operator a ⊕_γ b = a + b + γ ab, defined simultaneously on real vector spaces and prime fields. We establish the face-operation calculus (M, A, D, E faces), prove the dual-derivative power theorem w...

An Elementary Composite-to-Prime Ratio Sequence as an Independent Numerical Probe of Riemann Zero Statistics

Number-theoretic constructions that reach the statistics of theRiemann zeta zeros are almost always built from analyticmachinery. This note studies a construction with none of that: aninteger sequence y(x), defined only as the ratio of the cumulative sumof composite numbers to th...

Hamilton Cycles and Paths in the Noncrossing Partition Refinement Graph

Let NCR(n) be the cover graph of the refinement order on the noncrossing partitions of an n-element cyclically ordered set. We determine exactly when this graph has a Hamilton cycle and when it has a Hamilton path. The graph has a Hamilton cycle exactly for n in {0,1} or even n a...

Cover Relations and Lagrange Collisions in Rational Dyck Path Orders

Schiffler defined matching and Lagrange scores on rational Dyck paths, producing two strict partial orders, and asked for a path description of their cover relations and whether equal Lagrange values force isomorphic band graphs. We determine the cover relation in both orders. Ex...

Nyembe's Field Mechanics: Gravitational Decoherence as the Resolution to the Quantum-Gravity Problem

Nyembe’s Field Mechanics: Gravitational Decoherence as the Resolution to theQuantum-Gravity Problem(Generalized version The Observer Principle)

The Arithmetic Interface: Theta-Series Structure and a Selection Theorem for the QD–SD Boundary

The preceding DDC papers established a dual-domain ontology in which spacetime emerges from a timeless Quantum Domain (QD) through transduction across an interface. This paper develops the mathematical structure of the interface itself. Three results are central. 1. The channel c...

The Fine‑Structure Constant as Interface Geometry

This paper presents a geometric and number-theoretic derivation of the fine-structure constant α within the Dual-Domain Cosmology (DDC) framework. In this ontology, stable matter emerges from discrete three-quanta anchors in an atemporal Quantum Domain (QD) that project into the...

Carbohydrate Intake Ratios and Diabetes Risk in Asian Populations A Clinical Review of Quantitative Risk Intervals and the FEED ATOMS Behavioral Model

AbstractBackground: Asian populations exhibit a significant positive association between high carbohydrate intake and type 2 diabetes (T2DM) risk due to inherently lower insulin secretory capacity and refined starch staples. This review synthesizes recent evidence across carbohyd...

The Core Algebraic Kernels of Spatial Value and Action Flow: Meta-Axioms (MA) and Meta-Transitions (MT)

For over two millennia, formal mathematics and standard logic have been confined within the strictwalls of bivalent systems, treating truth and falsehood as static, binary endpoints. Thisstructural limitation has forced classical computational architectures to flatten continuous,...

Directional Radiation–Matter Conversion and Modular–Weierstrass Closure: A Planck-Time Geometric-Impulse Model with a Near-Horizon Cutoff Branch

This paper develops a phenomenological model in which an expansion-like response arises from the coarse-grained radiation–matter conversion current of a local or regional luminous field rather than from an isolated photon. The framework combines a collective luminous-field closur...

Ethical compromise, valuing life, and Fechner's Law

Ethical compromise, valuing life, and Fechner's Law Authors: Nigel Harvey, Xiaozhou TanDepartment of Experimental Psychology, University College LondonDOI: https://doi.org/10.5281/zenodo.21940136Licence: CC BY 4.0 What this is Behavioural data from four online experiments on sacr...

Discrete Space as the Resolution of Algorithmic Incompleteness in Physics: A Quantum-Geometry Dynamics Perspective on the Limits of Axiomatic Theories of Everything

This paper responds to Faizal, Krauss, Shabir, and Marino (arXiv:2507.22950), who argue that any axiomatic Theory of Everything formulated as a computational formal system is subject to Gödel incompleteness, Tarski undefinability, and Chaitin information-theoretic bounds, and tha...

PAPER-FBT0B: Global Relative–Phase Torus Geometry of the Coherent Carrier

FBT0A establishes the coherent six-dimensional carrier Bcoh6 = (CP1)3 and its regular Hamiltonian three-phase frame. FBT0B v4.4 develops the global relative-phase geometry needed by the active four-dimensional FBT architecture. The revision removes the diagonal Marsden–Weinstein...