Research works

Quadratic Irrationals Link Sturmian Words to Aperiodic Tiling — E8 Intelligence Research

FINDING: Sturmian words with quadratic-irrational slopes generate aperiodic tile sets whose scaling constants are units of real quadratic fields; the golden ratio directly proves aperiodicity of the "Einstein" hat tile. MATH: - Sturmian word slope θ ∈ ℚ(√d) (quadratic irrational)...

Gaps Between Intended Learning and Practice in PGY1 Pharmacy Residency Programs: Alignment of Training Experiences With Accreditation Standards

Postgraduate Year One (PGY1) pharmacy residency programs are critical for developing clinically advanced pharmacists equipped with the skills necessary to improve patient care. However, alignment between intended training experiences, accreditation standards, and real-world imple...

Deuterated Aprotic Electrolytes Enable Rechargeable Lithium Batteries With High (Electro)Chemical and Thermal Stability

ABSTRACT Electrolytes with exceptional (electro)chemical and thermal stability are essential prerequisites for high‐energy‐density rechargeable lithium batteries. Conventional aprotic ether and ester solvents contain polarizable C─H bonds that trigger parasitic proton transfer re...

Reduced dosage of Kmt2d modifies Tbx1 haploinsufficiency toward phenotypes of 22q11.2DS

Haploinsufficiency of TBX1 , which occurs in 22q11.2 deletion syndrome (22q11.2DS), leads to a heterogeneous spectrum of clinical manifestations, including craniofacial anomalies, immunodeficiency, and congenital heart defects. The variability in syndromic presentation between pa...

Two mathematical defects in the IT³ "Perez Hourglass" architecture (Zenodo 21792530): a metric signature change at the poles, and failure of the stated O_h invariance

Comment on V. Logvinovich, “The Macroscopic Vacuum Architecture: Perez Hourglass Topology, Counter-Rotating Bowls, and m=6⊕12 Fractal Superposition in the Solar System (IT3 Framework v6.0)”, Zenodo, 2026-08-04, doi:10.5281/zenodo.21792530. Two equations displayed in the target ma...

Understanding the volatility of firm performance associated with corporate misconduct in the restaurant industry

Restaurant operators are often struggling to establish a robust governance and internal control system that protects against potential corporate wrongdoing. Whether purposely or unintentionally, restaurant firms’ engagement in corporate misconduct can increase the volatility of t...

Development and comparative evaluation of in vitro, ex vivo, and in vivo models for the assessment of broad-spectrum topical antimicrobial efficacy

The escalating prevalence of multidrug-resistant skin and soft tissue infections (SSTIs) undermines current decolonization strategies. While mupirocin remains the gold standard for MRSA, its inactivity against Pseudomonas aeruginosa creates a critical therapeutic gap in polymicro...

Plimpton 322: Old Babylonian Trigonometry via Secant-Squared Ratios — E8 Intelligence Research

FINDING: Plimpton 322 encodes Old Babylonian sexagesimal trigonometry using secant-squared ratios (1 + tan²θ) from Pythagorean triples, not modern sine/cosine functions. MATH: - Core relation: \( \sec^2 \theta = 1 + \tan^2 \theta \) (sexagesimal form). - Tablet rows list: (sexage...

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...

Sitting Time and Physical Activity Correlate With Asthma Exacerbations in Adults: A Cross‐Sectional Study From the Australasian Severe Asthma Network

Summary Lower levels of sitting time were associated with a lower risk of severe asthma exacerbations in adults. High levels of physical activity eliminated the detrimental association of sitting time with severe asthma exacerbations in adults.

Toward a Multiscale Relational Ontology of Reality: Coherence as a Fundamental Relational Principle

Contemporary ontologies of reality are distributed among substantialist, relational, structural, and processual conceptions that offer partial answers to how something can acquire determination, preserve continuity, and transform without becoming a closed entity. This study first...

The potential of exercise-induced bile acid metabolism remodeling in cardiovascular protection

Cardiovascular diseases (CVDs) persist as a predominant global health burden, necessitating the refinement of accessible preventive strategies beyond conventional pharmacotherapy. While physical exercise is universally acknowledged as a cornerstone of cardiovascular prevention, i...

Molecularly Engineered Ultralow‐Loss Soft Polymers for Deformable Printed Photonics

ABSTRACT Achieving ultralow optical loss, broadband transparency, and mechanical softness within a single polymer network remains a long‐standing challenge for soft photonics. Here, we report a molecularly engineered class of UV‐curable thiol‐ene‐aromatic polymers that reconciles...

Golden Ratio in E₈ Quasicrystals via Modular Forms — E8 Intelligence Research

FINDING: E₈ lattice's theta series and its quasicrystalline projections encode golden-ratio scaling via modular forms and quaternion order parameters. | MATH: E₈ theta series: θ_E₈(τ) = 1 + 240∑_{n≥1} σ₃(n)qⁿ (q=e^{2πiτ}), a modular form of weight 4. 240 minimal vectors (roots) —...

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...

EuroMillions Breakthrough Mining — 2156 Sources, 16879 Leads Extracted — E8 Intelligence Research

Mined 2156 lottery+quantum breakthroughs. Extracted 16879 leads across 13 categories. 14708 high-value leads found. Categories: {"CORRIDOR": 1413, "FORMULA": 1250, "GEOMETRIC": 800, "FORWARD_ATTEMPT": 1496, "QUANTUM": 1716, "TIMING": 231, "CELESTIAL": 1336, "GEMATRIA": 1426, "CON...

OS System / ε-Model — Universe OS: Part 5 – Planetary Matrices, Frequency Systemic Operators, and Emergent Orbital Dynamics

is a technical document detailing the Universe OS digital ontological model, which treats physical reality as a mathematical matrix of frequencies and systemic operators. It includes systematic deconstructions of planetary matrices, such as Venus, Saturn, and the Ice Giants, link...

INTERNET TILSHUNOSLIGIDA PUNKTUATSIYA VA EMOJILARNING O'ZARO MUNOSABATI: SINTEZMI YOKI RAQOBAT?

Ushbu maqolada zamonaviy internet tilshunosligining eng dolzarb muammolaridan biri – an'anaviy tinish belgilari va emojilar oʻrtasidagi funksional munosabatlar tahlil qilinadi. Tadqiqotda ushbu ikki lingvistik va paralingvistik vositalarning oʻzaro aloqasi "sintez" (bir-birini to...

Are Digital Commons the Future of Political Organization? A Critical Analysis of Post-Capitalist Governance

This paper critically examines the proposition that digital commons represent the future of political organization. Moving beyond utopian proclamations, it offers a rigorous analysis grounded in political theory, empirical evidence, and novel theoretical perspectives. The paper b...

More Complex Is Better? The Impact of Product Image Visual Complexity on Consumer Responses in E‐Commerce Pages

ABSTRACT Visual complexity is a critical factor for online sellers to design product images that capture consumer attention and elicit affective responses. Prior studies have overlooked the distinct roles and underlying mechanisms through which its various dimensions affect consu...