Research works

Platonic Solids: Euler's Formula, Dualities, and Symmetry in Crystallography — E8 Intelligence Research

FINDING: The five Platonic solids are the only convex regular polyhedra, and their dual relationships and symmetry groups underpin crystallographic and molecular structures. | MATH: Euler's formula V − E + F = 2; for Platonic solids: tetrahedron {3,3} (V=4, E=6, F=4), cube {4,3}...

Decentering Musical Creativity: Towards Situated Musical Practices in Asian Classrooms

Globalization has led to the widespread adoption of dominant Western understandings of creativity in music education curricula and educational policies worldwide. These Western understandings often emphasize particular markers of musical creativity, taking for granted the need fo...

EuroMillions Breakthrough Mining — 2774 Sources, 23358 Leads Extracted — E8 Intelligence Research

Mined 2774 lottery+quantum breakthroughs. Extracted 23358 leads across 13 categories. 21134 high-value leads found. Categories: {"CORRIDOR": 1978, "FORMULA": 1814, "GEOMETRIC": 854, "FORWARD_ATTEMPT": 2098, "QUANTUM": 2308, "TIMING": 256, "CELESTIAL": 1905, "GEMATRIA": 2000, "CON...

EuroMillions Breakthrough Mining — 2751 Sources, 23118 Leads Extracted — E8 Intelligence Research

Mined 2751 lottery+quantum breakthroughs. Extracted 23118 leads across 13 categories. 20894 high-value leads found. Categories: {"CORRIDOR": 1957, "FORMULA": 1794, "GEOMETRIC": 851, "FORWARD_ATTEMPT": 2075, "QUANTUM": 2285, "TIMING": 255, "CELESTIAL": 1884, "GEMATRIA": 1979, "CON...

Stability of sub-10 nm atomic layer-deposited alumina thin films on gold electrode surfaces in aqueous electrolytes

Atomic layer-deposited (ALD) alumina (Al2O3) thin films are widely employed in sensor and device fabrication as an insulating and protective layer. However, definitive studies on the aqueous stability of sub-10 nm ALD films remain limited, which poses a challenge for evaluating t...

An Erdős–Kac law for palindromes and for reversed primes

This record contains the manuscript "An Erdős–Kac law for palindromes and for reversed primes" together with a Lean 4 formalisation certifying its deductive content. The paper. For every integer b ≥ 2 we determine the distribution of the number of prime factors, counted with or w...

CRON GUARDIAN caught: Aug 01 00:19:33 vmi3382514 python3[1412]: psycopg2.OperationalError: SSL connect — E8 Intelligence Research

SOURCE: journal LINE: Aug 01 00:19:33 vmi3382514 python3[1412]: psycopg2.OperationalError: SSL connection has been closed unexpectedly CONTEXT: Aug 01 00:19:33 vmi3382514 python3[1412]: File "/opt/excalibur/gtx_trading_harness.py", line 90, in get_current_baseline Aug 01 00:19:33...

Integrated physiological, transcriptomic and metabolomic analyses characterize treatment-associated autumn shoot self-pruning and maturation in Wogan mandarin

Autumn shoot maturation is important for citrus canopy management and subsequent reproductive development. We compared five foliar treatments but interpret their effects as treatment-specific because the salts were not equimolar and KH₂PO₄ supplied both K and P. Water (CK), 0.3%...

Three energetic quantities that must not be conflated: amount, gradient and steadiness of flux, the withdrawal of a universal principle of regime selection, and a transferred form of non-monotonic dependence

Preprint, 24 August 2026. A version of this manuscript is under consideration at a peer-reviewed journal of statistical physics. This record carries no peer-review status. Abstract. The assertion “more energy, more order” cannot be tested until it is said which of three distinct...

Deep reinforcement learning for optimizing mobile depots allocation and hybrid order dispatch in last-mile delivery under multi-participants behavioral uncertainty

As last-mile delivery demand continues to grow and customer preferences become increasingly diverse, traditional single-mode logistics systems are inadequate in addressing the complexity and variability of modern urban delivery environments. In this paper, we propose an innovativ...

Age Differences in Emotion Regulation Among Individuals With Down Syndrome

BACKGROUND: Although there is clear evidence that individuals with Down syndrome (DS) experience difficulties in identifying and interpreting emotions, there is limited research on emotional regulation in this population. Furthermore, many studies of individuals with DS focus on...

From Traces to Guarded Programs: Evidence-Gated Compilation of Recurrent Agent Workflows

Tool-using agents often invoke a model at every step, even along a repeated read-only path. Replacing repeated reasoning with deterministic execution could reduce inference cost, but repetition alone does not make this safe: tool arguments may depend on decisions not recoverable...

Asymmetric Dynamics of Posner Molecules Challenge Quantum Brain Hypothesis — E8 Intelligence Research

FINDING: The Posner molecule (Ca₉(PO₄)₆) — a calcium-phosphate cluster implicated in neural signaling — has a dynamical ensemble that is *not* symmetric, challenging its proposed role as a stable quantum information processor in the brain. | MATH: Stoichiometry: Ca₉(PO₄)₆ → 9 Ca²...

Espalier: the dependency map method, with companion specifications Capability Hosts under Espalier and Agent Debugging under Derivation

Espalier is a structure-first engineering standard for codebases co-developed by humans and AI agents. Design documents customarily stop one level above the component; every relationship they leave unstated is improvised at implementation time, and improvised relationships are wh...

Human umbilical cord mesenchymal stem cell-derived exosomes alleviate neurocognitive disorders in chronic obstructive pulmonary disease by suppressing neuroinflammation

Abstract Background Patients with chronic obstructive pulmonary disease (COPD) frequently suffer from COPD-related neurocognitive disorders (COPD-NCDs), which severely impair their quality of life. Neuroinflammation is a key pathological mechanism, but effective therapies are sti...

Cartography of the Mental Topography of Free-Energy Minimization: A Computational Approach Based on Narrative Trajectory Analysis Using Large Language Models (LLMs)

How does the brain protect its beliefs from contradictory facts? Neuroscience answers: through free-energy minimization (FEP, K. Friston), but it does not know the content of these defenses. Linguistics is able to analyze text topics but does not see the dynamics of cognitive tri...

The Birch and Swinnerton-Dyer Conjecture: Linking Elliptic Curve Rank to L-Function Zeros — E8 Intelligence Research

FINDING: The Birch and Swinnerton-Dyer (BSD) conjecture links the algebraic rank of an elliptic curve (number of independent rational points) to the order of vanishing of its L-function at s=1, with proven cases only for rank 0 and 1. | MATH: For elliptic curve E over ℚ, L(E,s) =...

Understanding Before Ethics: A Four-Dimensional Foundation for AI Moral Agency

Contemporary artificial intelligence ethics frameworks frequently commit a category error: they attempt to instantiate ethical behavior in systems that, on the account developed here, lack the prerequisite capacity for genuine understanding. This paper argues that understanding,...

Quantitative nondiagonal phase field modeling of pearlite growth involving multi-diffusion paths

Despite extensive research on pearlite formation, the rate-controlling mechanisms of pearlite growth remain under debate. Phase field modeling has become a key tool for investigating such transformations; however, in solid-state systems where diffusion occurs both within individu...

Phage anti-defense genes targeting NAD + metabolism and DNA replication are associated with a broad host range against Klebsiella pneumoniae

. Deletion of these genes collapsed the host spectrum from 109 strains to fewer than 10, significantly compromising antibacterial efficacy. The wild-type phage substantially improves survival in a mouse bacteremia model. Our study identifies candidate genetic factors associated w...