Research works

Value-Space Contractions for Fixed-Diagonal Rank Fibers\\ of Symmetric Matrices in Characteristic Two

Let $K$ be a field of characteristic two and let $k=K^2$ be its subfield of squares. For a prescribed diagonal vector $d=(d_1,\ldots,d_n)\in K^n$, we study the symmetric matrices of diagonal $d$, graded by rank. The associated quasilinear quadratic form $q_d(x)=\sum_{i=1}^n d_i x...

The Street That Forged Them: Poverty, Survival, and Female Solidarity in Pat Barker's Union Street

Pat Barker's first novel, Union Street (1982), is a stark portrait of working-class women in a decaying industrial town in the north of England. Seven linked stories, each centering on a different woman or girl living on or near the same street, form a collective narrative of har...

Pull-Out Performance and Load Transfer Mechanism of Pressure-Type Rock Anchor with Grouted Interface

Pressure-type rock anchors transfer tendon force to the grouted body through an end bearing plate, placing the grout predominantly in compression; however, their load-transfer mechanisms and axisymmetric stress-field distributions under varying loads remain insufficiently underst...

IIT's Phi: Consciousness as Irreducible Cause-Effect Without Closed-Form Constant — E8 Intelligence Research

FINDING: Integrated Information Theory (IIT) formalizes consciousness as a quantity Φ (phi) measuring irreducible cause-effect power of a system, but current formulations depend on lossy integration and lack a closed-form mathematical constant. MATH: - Φ = integrated information,...

Identity Politics and Ethnolinguistic Mobilisation in North Bengal: The Rajbanshi Community and the Kamtapur Movement

The Rajbanshis are an indigenous community of northern West Bengal. In the past, they constituted the majority population in North Bengal, particularly in the districts of Jalpaiguri, Rangpur, Dinajpur, the plains of Darjeeling district, and the princely state of Cooch Behar. Bes...

Influences and Combined Actions of the Fiber-Nanoceramic on the Functional Properties of Epoxy Hybrid Composites

Currently, 25 wt% hemp fiber (treated) and 2–6 wt% nano-silicon dioxide particles (SiO2-50 nm) are embedded in an epoxy matrix via hand layup-aided hot compression molding, and the microstructure, mechanical, and thermal properties of the composites are evaluated. The significanc...

EuroMillions Breakthrough Mining — 1233 Sources, 7865 Leads Extracted — E8 Intelligence Research

Mined 1233 lottery+quantum breakthroughs. Extracted 7865 leads across 13 categories. 6018 high-value leads found. Categories: {"CORRIDOR": 626, "FORMULA": 486, "GEOMETRIC": 657, "FORWARD_ATTEMPT": 651, "QUANTUM": 862, "TIMING": 169, "CELESTIAL": 572, "GEMATRIA": 610, "CONSTANT":...

Late Early Carboniferous Bimodal Magmatism Along the Northern Margin of the North China Craton and Its Tectonic Significance

ABSTRACT During the Late Palaeozoic, southward subduction of the Paleo‐Asian Ocean (PAO) generated widespread magmatism along the northern margin of the North China Craton (NCC). In the Chahar Right Rear Banner–Shangdu area, located in the central segment of this margin, a late E...

The Theoretical Foundations of Learning by Teaching: Two Foundational Papers from 1986 and 1988

This working paper revisits two foundational publications by Jean-Pol Martin: Für eine Übernahme von Lehrfunktionen durch Schüler (1986) and Schüler in komplexen Lernumwelten (1988). Read together, the two papers reveal that Learning by Teaching was conceived from the outset as m...

THE SECOND WAVE : The Absolute Resolution of 20 Mathematical Conjectures via ROA and STCT

THE SECOND WAVE: The Absolute Resolution of 20 Mathematical Conjectures via ROA and STCT (Part III: The Master Monograph Series) Over the past century, the edifice of modern mathematics has been constructed upon a flawed geometric illusion: the unquestioned assumption of a fricti...

Sharp Cyclicity of Neutral Entry–Exit Cycles with Quadratic Grazing

This record archives version 1.2.0 of the research materials for the preprint “Sharp Cyclicity of Neutral Entry–Exit Cycles with Quadratic Grazing.” It contains a standalone 42-page arXiv-layout PDF and a curated reproducibility archive with manuscript source, proof modules, inte...

Little Letters, Heavy Lessons: A Black Mother's Critique of a “Simple” Phonics Lesson and the Myths of Neutral Instruction

ABSTRACT Racialized multilingual children need their cultural and linguistic sophistication to be seen and heard in their classrooms. Drawing from my daughter's first grade educational experiences, this article explores how the teaching of a popular phonics‐based sorting lesson c...

Weak Vishik Equivalence and Linear $2$-Basis Blindness for Totally Singular Quadratic Forms

Let $K$ be a field of characteristic two, put $k=K^2$, and let $U\subset K$ be the value space of an anisotropic totally singular quadratic form. For $a\in K\setminus k$, the anisotropic dimension after the one-step extension $K(\sqrt a)/K$ is $\oneprofile_U(a)=\dim_{k(a)}k(a)U=\...

Mechanism Derivation of Deep-MOND: Rotation Curves, Tully-Fisher Relation and the Cosmic Anchor a0

Flat galaxy rotation curves and the Tully-Fisher relation (v^4 proportional to M, exponent 3.94 +/- 0.07) are the two most robust galactic-dynamics observations. This paper derives, from the energy-field framework: (1) the precise form of the MOND characteristic acceleration a0 =...

A Q-learning Weighted Cluster Based Routing Protocol for VANETs

Vehicular Ad-Hoc Networks are an emerging paradigm within Intelligent Transportation Systems (ITS), enabling communication between vehicles (V2V) and/or vehicles and infrastructure (V2I). These networks aim to enhance road safety and improve the driving experience. However, due t...

EuroMillions Breakthrough Mining — 1222 Sources, 7744 Leads Extracted — E8 Intelligence Research

Mined 1222 lottery+quantum breakthroughs. Extracted 7744 leads across 13 categories. 5897 high-value leads found. Categories: {"CORRIDOR": 615, "FORMULA": 475, "GEOMETRIC": 657, "FORWARD_ATTEMPT": 640, "QUANTUM": 851, "TIMING": 169, "CELESTIAL": 561, "GEMATRIA": 599, "CONSTANT":...

From Fold to Consciousness

Local publication candidate for From Fold to Consciousness, version 1.1.0. Integrates the independent Lean 4 whole-model PASS over 2,777 current claims. An Exact, Zero-Parameter and Machine-Closed Reconstruction of Consciousness and Cognitive Science from Smithian Fold Theory

MERLIN SCIENCE — E8 Theta Function: Modular Form Linking Lattice Points to Spectral Geo — E8 Intelligence Research

Here is the narration for the MERLIN SCIENCE video. Here is the finding in one clean sentence: The theta function of the E8 lattice is a modular form of weight four for the full modular group, and its Fourier coefficients, which count lattice points by squared norm, connect direc...

EuroMillions Breakthrough Mining — 1193 Sources, 7433 Leads Extracted — E8 Intelligence Research

Mined 1193 lottery+quantum breakthroughs. Extracted 7433 leads across 13 categories. 5589 high-value leads found. Categories: {"CORRIDOR": 587, "FORMULA": 447, "GEOMETRIC": 657, "FORWARD_ATTEMPT": 611, "QUANTUM": 823, "TIMING": 168, "CELESTIAL": 532, "GEMATRIA": 571, "CONSTANT":...

Apollonian Circle Packings: Fractal Gaskets from Inversion and Integral Curvatures — E8 Intelligence Research

FINDING: Apollonian circle packings arise from repeated inversion in mutually tangent circles, generating fractal gaskets with integral curvatures and deep group-theoretic structure. | MATH: Descartes circle theorem: \( (k_1 + k_2 + k_3 + k_4)^2 = 2(k_1^2 + k_2^2 + k_3^2 + k_4^2)...