Research works

Penrose Tilings: Aperiodic Order Encoding the Golden Ratio — E8 Intelligence Research

FINDING: Penrose tilings are aperiodic, self-similar substitution tilings with 5-fold rotational symmetry, directly encoding the golden ratio in their inflation/deflation rules and vertex configurations. | MATH: Inflation multiplier = φ = (1+√5)/2 ≈ 1.618; substitution matrix eig...

FEA-Assisted nanostructured piezoelectric sensor and deep learning framework for noninvasive tumor detection and tissue stiffness analysis

Biosensors have long been used in environmental monitoring and clinical diagnostics for detecting harmful bacteria, viruses, and biomolecules, evolving from simple biological sensing systems to advanced nanofabrication-based devices. With help of nanotechnology, nano-biosensors h...

Plimpton 322: Babylonian Trigonometry Using Pythagorean Triples Predates Greeks by 1000 Years — E8 Intelligence Research

FINDING: Old Babylonian sexagesimal trigonometry on Plimpton 322 uses exact ratios (Pythagorean triples) as a primitive form of sec²θ = 1 + tan²θ, predating Greek trigonometry by over 1000 years. | MATH: Base-60 normalized Pythagorean triples (a, b, c) with a² + b² = c²; ratios b...

New edge proposed: inside_bar_breakout_with_expanding_volume — E8 Intelligence Research

{ "name": "inside_bar_breakout_with_expanding_volume", "source": "Al Brooks, Price Action (trading range breakout)", "type": "entry_engine", "rule": "Long (or short) when the current bar closes beyond the high (or low) of the preceding inside bar (a bar whose range is entirely wi...

Malignant Seeding to the Trachea and Tracheostomy Site: A Case Report and Literature Review

ABSTRACT Objective Malignant seeding of the trachea after resection of head and neck cancer is a rare but clinically significant complication, most often associated with advanced‐stage disease and nodal metastasis. We aim to present a case of malignant seeding to the trachea and...

Coupled-Channel Quantum Tunneling with an Additional Confined Coordinate

This exploratory preprint studies a controlled quantum-scattering toy model with an additional harmonically confined coordinate w. It compares a fixed-width one-dimensional barrier, the exact shrinking observable slice V(x,0), and the full coupled (x,w) Hamiltonian. The identical...

The formal repertoire of mechanics from a single binary operator - DRAFT

The research is still ongoing, and this serves mainly as proof of paternity. It will be finalized soon.Odrzywółek showed that one binary operator on the reals, with the constant 1 as seed, generates a declared36-primitive basis of elementary mathematics by nesting alone. This pap...

Steady-State Characteristics of Normalized 11th-Order Prime Differences and Its Gradient Correlation with the Decimal Sequence of π

Abstract Classical number theory and transcendental number theory generally hold that the high-order differences of prime sequences are unbounded and disordered without finite steady-state periodic characteristics. As a typical transcendental number, the decimal expansion of π is...

MERLIN SCIENCE — Quaternion Order Parameters Bridge 3D Icosahedral Quasicrystals to E8 — E8 Intelligence Research

Here is the narration for today's MERLIN SCIENCE video. --- Today's finding is this: The binary icosahedral group, the H3 root system, and the E8 lattice are not separate curiosities but are linked through a single quaternion order parameter, providing a group-theoretic bridge fr...

Dual-Layered Unsupervised Anomaly Detection for Regulatory Vehicle Emissions Enforcement: A Physics-Constrained Synthetic Approach

The Labeled Data Bottleneck The enforcement of vehicle emissions regulations - critical for urban air quality and global climate compliance - relies heavily on certified, decentralized testing centers. However, this infrastructure is highly vulnerable to systemic fraud, including...

A Computational Taxonomy for Distributed Environmental Governance: Object Classes, Required Operations, and the Representation of Absence - A Preliminary Discussion

The preceding papers of this series develop an architecture for governing interdependent Earth–human systems: conditions as the object, three distinct structures of the field, coordination through reported change, assembly of heterogeneous knowledge, an event layer, criticality d...

The role and importance of pericardial effusions in the diagnosis of malignancy

Objective: Pericardial effusion is a clinical condition characterized by the pathological accumulation of fluid within the pericardial cavity. It may develop secondary to cardiac, infectious, autoimmune, traumatic, or neoplastic processes. Malignancy-related effusions, particular...

Crystallography from a lift condition (Geometry of the vacuum, floor 0)

A single deep wedge in the orthogonal Lie algebra so(5,3) induces on its transverse quotient a metric of signature exactly (3,1), and the equivariance of the degree-0 floor built over it forces that same metric as the unique so(W)-equivariant bracket of one family. On this struct...

The Gravitational‑Curve CMB Mapping Framework

This paper presents the completed Lmax\({v11}\) rigid‑stage cosmology, a non‑expanding Euclidean framework built on a fixed linear redshift ruler anchored to the 2.54‑million‑light‑year Andromeda baseline. The model defines a natural affine ceiling at 76.125 Gly and places the co...

MATERNAL AND FETAL OUTCOMES IN ANTEPARTUM ECLAMPSIA: A PROSPECTIVE OBSERVATIONAL STUDY

Background: Antepartum eclampsia is a severe obstetric emergency associated with substantial maternal and perinatal morbidity and mortality. Despite advances in antenatal surveillance, anticonvulsant therapy, blood pressure control, critical care, and neonatal support, eclampsia...

The Magic-Curvature Hypothesis: Emergent Geometry from Entanglement and Non-Local Magic

We propose the Magic-Curvature Hypothesis (MCH): spatial geometry emerges from the entanglement structure of an underlying quantum many-body system or quantum error-correcting code, while dynamical curvature (gravity) emerges from tripartite non-local magic in that same system—a...

Parity Invariants and Periodic Orbits in the IMO Windmill Problem — E8 Intelligence Research

FINDING: The 2011 IMO windmill problem (Q2) is a combinatorial geometry problem whose solution hinges on a parity-invariant pivot rotation, revealing a hidden periodic orbit structure. | MATH: Given n points in general position, a "windmill" is a line rotating about a pivot point...

METALLIC TRACES: THE GLOBAL SIGNATURE OF A TECHNOLOGY THAT NEVER WAS

If there was once a single coordinate system on the planet — was there, before us, a single engineering school? We began with the sky. Mathematics pointed to Kailash. Fifty-six of the greatest monuments fell onto rays and rings issuing from a single point. Not all of them, not pe...

Comparison of Whole‐Gland and Transition Zone PSA Density in Predicting Clinically Significant Prostate Cancer in PI‐RADS 3 Lesions

ABSTRACT Background PI‐RADS 3 lesions represent a clinical gray zone in prostate cancer diagnostics, often leading to unnecessary biopsies. Additional biomarkers are needed to improve risk stratification and safely exclude clinically significant prostate cancer (csPCa). This stud...

Quantum Teleportation: States Over 1,400 km, Energy on Superconductors — E8 Intelligence Research

FINDING: Quantum teleportation transfers quantum *states* (information), not matter or energy, with demonstrated ranges up to 1,400 km (satellite) and a new experimental realization of *energy* teleportation on superconducting hardware. | MATH: Core formalism: Bell-state measurem...