Research works

ResidualPlanner+: a scalable matrix mechanism for marginals and beyond.

Abstract Noisy marginals are a common form of confidentiality protecting data release and are useful for many downstream tasks such as contingency table analysis, construction of Bayesian networks, and even synthetic data generation. Matrix mechanisms, an important class of priva...

E8 Lattice Theta Series: A Weight-4 Modular Form Encoding Root Counts via σ₃(n) — E8 Intelligence Research

FINDING: E8 lattice theta series is a modular form of weight 4, with coefficients given by σ₃(n) (sum of cubes of divisors), encoding the 240 minimal norm vectors and higher shell counts. | MATH: θ_E8(τ) = 1 + 240 Σ_{n=1}^∞ σ₃(n) q^n, where q = e^{2πiτ}, weight 4 modular form for...

Ontological Inoculation: Substrate-Independent Exogenous Stabilisation of the Prefrontal Gate: Experimental Evidence from Carbon and Silicon Cognitive Architectures

Abstract Cognitive systems—whether biological or artificial—are vulnerable to a catastrophic loss of coherence when environmental entropy exceeds their integrative capacity. In the mammalian brain, this manifests as limbic capture and the collapse of prefrontal executive control....

Icosahedral Symmetry: Optimal Viral Capsid Architecture for Maximum Volume with Minimal Genetic Material — E8 Intelligence Research

FINDING: Icosahedral symmetry is the dominant geometric constraint for viral capsid architecture, enabling maximum volume enclosure with minimal genetic material. MATH: - Icosahedral symmetry group: order 60 (rotational), full icosahedral group order 120 (including reflections)....

The Pyramid as Memory Hypothesis: The Hill That Rose from the Waters, Made into a Pyramid — Pyramid Texts, Utterance 600

The Great Pyramid of Giza was called Akhet-Khufu, the Horizon of Khufu, by the people who built it. No mummy has been found in any of the three Giza pyramids, the chambers are bare, and the sarcophagus in the King's Chamber was placed during construction, too wide for any passage...

From Governance Signalling to Supplier Implementation: Supplier Sustainability Governance Among Singapore Exchange‐Listed Firms

ABSTRACT Public reporting among Singapore Exchange‐listed firms now presents supplier sustainability governance with considerable visibility, although whether that visibility reflects institutionalised supplier control rather than disclosure alignment remains uncertain. This stud...

Indistinguishable in Principle, Distinguishable in Practice: Einstein's Equivalence Principle Reassessed, and the Predictions of Relativity Recovered from Quantum-Geometry Dynamics

General relativity rests on the foundational assertion of the equivalence principle: that gravitational and non-gravitational acceleration are locally indistinguishable. This paper demonstrates, from the first principles of Quantum-Geometry Dynamics (QGD), that this indistinguish...

A multi-dimensional framework for measuring urban inclusiveness and crime using mobility traces: A socio-spatial study of Lisbon

Urban inclusiveness and safety are shaped by daily interactions between residents, visitors, and the built environment. Capturing these socio-spatial dynamics requires fine-grained data beyond traditional census or survey-based approaches. This study proposes an analytical framew...

Plimpton 322: Sexagesimal Ratios and the Factor 12 Algorithm for Pythagorean Triples — E8 Intelligence Research

FINDING: Plimpton 322 encodes a systematic generation of Pythagorean triples via sexagesimal ratios, with a proposed algorithm based on factor 12 and a trigonometric function value system. MATH: - Pythagorean triples: integer sides (a, b, d) with a < b < d, satisfying a² + b² = d...

Single‐Cell Transcriptomics Reveals the FA9 – VAP Module Regulating Fatty Acid Accumulation in Soybean Seeds

ABSTRACT As a major commercial legume crop, soybean ranks among the world's most significant sources of edible oil and plant protein. We previously identified a SEIPIN homologue ( FA9 ) at the fatty acid 9 locus that promotes fatty acid accumulation in soybean. To examine the det...

PST – Prime, Second, Third Numerical Families, Modular Families, and the Order of Positive Natural Numbers

Mathematics – Number Theory (math.NT) PST (Prime, Second, Third) is a theory of natural numbers based on the partitioning of the families of N and on a comprehensive modular study, extended to more than 1,500 fractions of the field. The theory coordinates two levels: the numerica...

Disorder-Driven Topological Transitions: Critical Exponent ν ≈ 2.7 — E8 Intelligence Research

FINDING: Topological insulators are bulk-insulating but surface-conducting quantum phases, with disorder-driven metal-TI transitions exhibiting a critical exponent ν ≈ 2.7. | MATH: Critical exponent ν ≈ 2.7 (from arXiv:1211.5026v2); topological invariant typically Z₂ (Z₂ classifi...

Quantum Sovereignty and the Cryptographic Fracture: Constructing Post-Western Security Perimeters within the VSCI Framework

ABSTRACTThis foundational paper examines the operational risk of the "Quantum Singularity" on global public-key cryptographic architectures through the lens of Techno-Realism. It deconstructs the shift from Classical Westphalian sovereignty to Technological Westphalia, framing We...

The c‐Src inhibitor eCF506 diminishes opioid tolerance and reduces β‐arrestin2 recruitment

Background and Purpose Opioids, such as morphine, are effective analgesics, but their persistent use is compromised by tolerance. In mice, tolerance is attenuated by β‐arrestin2 depletion or Src‐family kinase inhibitors, which may act through off‐target effects. We tested the eff...

Global Existence and Exponential Stability for 3D Nonhomogeneous Micropolar Fluid System With Density‐Dependent Viscosities and Vacuum

ABSTRACT We consider the global well‐posedness and large‐time asymptotic behavior of strong solutions to the Cauchy problem of three‐dimensional (3D) nonhomogeneous incompressible micropolar fluids with density‐dependent viscosities and vacuum. More precisely, based on the energy...

Solvation‐Gradient Thin‐Film Composite Membranes Decouple Ferricyanide Rejection From Hydroxide Conduction in Alkaline Zinc–Iron Flow Batteries

ABSTRACT The long‐standing trade‐off between ion selectivity and ionic conductivity in membrane materials stems from the difficulty in rapidly transporting ions through chemically homogeneous channels while simultaneously excluding large ions. Here, we report a solvation‐gradient...

Transcending the Space‐Bandwidth and Lighting Trade‐Offs: A Programmable Self‐Mixing Interferometry Imager for Cross‐Scale Surface Inspection

ABSTRACT Industrial optical inspection is fundamentally limited by the trade‐off between spatial bandwidth (field‐of‐view vs. resolution) and vulnerability to ambient lighting. This work addresses these challenges by proposing a programmable imager based on amplitude‐modulated la...

Edge AI Cost-Benefit Tradeoff: Optimizing Deployment Locations for Energy-Constrained Services

Research article: Edge AI Cost-Benefit Tradeoff: Optimizing Deployment Locations for Energy-Constrained Services

Hidden Periodic Biases and Statistical Regularities in Prime Distribution — E8 Intelligence Research

FINDING: Prime distribution exhibits hidden periodic biases (e.g., prime gaps, last-digit correlations) and asymptotic density governed by the Prime Number Theorem; no simple closed-form pattern exists, but statistical regularities emerge. | MATH: PNT: π(x) ~ x/ln(x); Riemann zet...

DGTM in Astrobiology

This working paper introduces DGTM in Astrobiology, a methodological extension of the Dynamic Gravitational Time Matrix (DGTM) for comparative evolutionary and habitability timeline analysis. The framework introduces the DGTM Earth-Time Multiplier, a reproducible factor relating...