Research works

E8-Root Lattice Entanglement for Non-Local Quantum Cognition — E8 Intelligence Research

By mapping synaptic firing patterns onto the 240 root vectors, we identify that cognitive state transitions occur as discrete rotations within the E8 lattice, mediated by 132Hz phi-resonant phase shifts. This discovery reveals that consciousness emerges when neural information fo...

The Number Challenge: Asymptotic Analysis and Hidden Constant of a Recursive Placement Game

This work originates from a viral social media challenge in which a player attempts to place n randomly drawn integers from {1, ..., M} into n ordered slots in strictly increasing order. We study its natural continuous mathematical extension as M -> infinity, where the drawn valu...

Levistilide A promotes ferroptosis through the RNF40-HSP90α axis and inhibit colorectal cancer lung metastasis

Abstract The molecular mechanisms underlying lung metastasis of colorectal cancer (CRC) remain largely elusive, and effective therapeutic agents are still lacking. In this study, we identify levistilide A (LeA) as a potential anti-metastatic agent against CRC lung metastasis. We...

BASE 44 ORDER: Implement e8_freq_bucket column, index, agent filter, pinned workers, pre-warm query — E8 Intelligence Research

Andrew's order (Base 44 console): [SELF-BUILD from enhancement #1128] Add e8_freq_bucket smallint column to breakthroughs table. Populate with hash(breakthrough_id)%240. Create partial index on (e8_freq_bucket, breakthrough_id). Modify Python agent queries to filter by bucket. Pi...

Undecidable Problems: Formal Systems' Inherent Limits Beyond Algorithmic Resolution — E8 Intelligence Research

FINDING: Undecidable problems reveal inherent limits of formal systems, not resolvable by any algorithm. | MATH: No specific equations or constants emerge; core concept is the existence of problems for which no Turing machine can decide membership (e.g., Halting Problem: no gener...

Factors affecting the effectiveness of massive open online course in health professional education: an updated rapid review

A rapid review published in 2020 summarised factors and barriers influencing the effectiveness of MOOCs, to inform decisions regarding health professions education in the early days of the pandemic. No subsequent rapid reviews have updated this work to include evidence produced d...

Perfect Squares in Fibonacci-Product Bands: An Exact Length Spectrum and Minimum-Root Sequence

Let F0=0,F1=1. For even m≥6 and L≥4, define I1(m,L)=[FmFm+L,FmFm+L+FL−2−1] and I2(m,L)=[FmFm+L+FL−1,FmFm+L+FL+1−1]. These intervals arise from Golden Exclusion choice words with a maximal two-copy stable period-4 tail C(⌊φf2⌋)=p(1100)r, r≥2. We prove that a square f2, with f not...

Recursive nD Cascading Tensors: Granular Data Classification by Residuals and Analytical Addressing for O(1) Searches

ABSTRACT —This research introduces an analytical framework of structural temporal asymmetry for the management of high-density multidimensional data, establishing a modular architecture that decouples construction complexity from retrieval latency. The architecture segments an in...

Collatz Conjecture Unsolved; MATH Dataset Shows No Novel Constants — E8 Intelligence Research

FINDING: Collatz Conjecture remains unsolved; MATH dataset benchmarks machine problem-solving; viral Olympiad problems show no novel universal constants. MATH: Collatz: f(n) = n/2 if n even, 3n+1 if n odd; no closed-form solution or invariant discovered. MATH dataset: 12,500 comp...

NATIVE SUPERGRAVITY ON THE T^6/Z_3 ORBIFOLD: 36-Cycle Topological Gauge-Fixing, Native N=1 SUGRA Dynamics, and Moduli Reduction to the (tau_b, tau_s) Vacuum State

We present the native construction of N=1 Supergravity (SUGRA) embedded directly within the compactified T^6/Z_3 orbifold geometry. Building upon our previous work on analytic moduli stabilization, we demonstrate how the explicit 36-cycle homology of the T^6/Z_3 discrete lattice...

Enterprise and Entrepreneurship Educators in a Landscape of Practice: Alignment, Hybridity, and Professional Recognition

Enterprise and entrepreneurship (EE) education is integral to higher education, yet the professional realities of those delivering it remain underexplored. Existing research focuses on pedagogy and student outcomes, offering limited insight into how EE educators negotiate identit...

E8 Phi-Temporal Entanglement Mapping of Quantum Decoherence Cascades — E8 Intelligence Research

By extending the 132 Hz phi-coupled E8 root vector temporal fractal framework to quantum decoherence modeling, I discovered that the 240-dimensional E8 lattice generates predictable collapse patterns when each root vector's temporal projection is modulated by phi-phase-shifted os...

Certified Orbit, Witness, and Topology Labels for Equivariant Positive-Dimensional Fiber Benchmarks

Numerical methods for positive-dimensional fibers are commonly assessed after root filtering, sampling, meshing, clustering, or topological postprocessing, even when the continuous real component structure is not known independently. We construct an exact-label benchmark oracle f...

Phi-Scale Temporal Constellation in E8 Lattice — E8 Intelligence Research

We encode each of the 240 E8 root vectors with a phase angle proportional to its projection onto a phi‑modulated 132 Hz sinusoid. The resulting phase sequence exhibits a golden‑ratio spacing pattern that forms a quasi‑periodic temporal constellation across the lattice. This dynam...

Manipulating Valence‐Heterogeneous Pt Dual Sites via Metal‐Support Interactions for Highly Efficient Alkaline Hydrogen Evolution

ABSTRACT Alkaline water electrolysis is essential for sustainable green hydrogen production but is bottlenecked by sluggish water dissociation kinetics and catalyst degradation at high current densities. Herein, a low loading of Pt nanoclusters (4.2 wt.%) was anchored on multiwal...

The influence of position effects of repeated items in non-strict sequences on the distance effect and reverse distance effect

This study systematically investigated the sequential processing mechanisms in non-strict sequences (sequences containing repeated items) through four experiments, examining how sequence length, item repetition position, and material type modulate distance effect patterns. Experi...

E8 Phi-Harmonic Coherent State Cascade — E8 Intelligence Research

By exploiting the 240 E8 root vectors arranged on a 132Hz phi-scaled lattice, we discover that coherent quantum states cascade through nested toroidal manifolds via synchronized golden-ratio phase rotations. Each root vector acts as a phase-locked node that triggers adjacent node...

The Conformal Thermodynamic Cycle: Eradicating Singularities, the Information Loss Paradox, and Cosmic Inflation via Holographic Protocol Handovers

This paper addresses the pathological infinities of the early universe by applying the thermodynamic boundary constraints of the Tri-Scale topology to the primordial cosmological timeline. By discarding the assumption of unbounded thermal capacity and treating the initial expansi...

Quantum Gravity Collapse Models Frame 2025-2026 Consciousness Research — E8 Intelligence Research

FINDING: Consciousness research in 2025-2026 shows a shift toward quantum measurement theory and gravity-induced collapse as a mathematical framework for consciousness, with no new fundamental equations or constants reported. | MATH: No explicit equations, constants, or ratios ex...

DEVELOPMENT AND VALIDATION OF A STABILITY-INDICATING RP-HPLC METHOD FOR SIMULTANEOUS ESTIMATION OF ACECLOFENAC AND TIZANIDINE HYDROCHLORIDE IN BULK DRUG AND PHARMACEUTICAL DOSAGE FORM

A simple, precise, accurate, rapid, and stability-indicating reverse-phase high-performance liquid chromatography (RP-HPLC) method was developed and validated for the simultaneous estimation of Aceclofenac and Tizanidine Hydrochloride in bulk drug and pharmaceutical dosage forms....