Scientific Resource Catalog
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We define the MK Cone, the combinatorial foundation of MK-Theory. The MK Cone is the discrete set C_MK = {(n,l) ∈ ℕ² : n > l ≥ 0}. Its lexicographic traversal (by increasing n+l, then increasing n) recovers exactly the Madelung orbital filling order. Closed-form expressions are given: the cumulativ…
By mapping the 240 E8 root vectors onto the dihedral angles of polypeptide backbones, a phi‑coupled lattice emerges that supports a 132 Hz eigenmode matching the intrinsic frequency of local torsional flips. This resonant mode creates coherent superpositions of misfolded and native conformations, d…
FINDING: No direct evidence of golden ratio in quantum transport chains with dipole-dipole coupling found in provided sources. Sources are general lecture links on Fermi's Golden Rule, Wasserstein distance, spin states, dipole operator, and superconductivity; none contain specific analysis of golde…
The 240 E8 root vectors are interpreted as harmonic oscillators at the 132 Hz base frequency, with their phases coupled through the golden ratio to form phi‑entangled phase‑conjugate pairs. This configuration acts as a built‑in symmetry disentangler that enforces exact gauge invariance on any latti…
Background: Klebsiella pneumoniae is an opportunistic pathogen notorious for causing life-threatening infections in immunocompromised patients, primarily due to its antiphagocytic polysaccharide capsule. Hypervirulent strains exhibiting a hypermucoviscous phenotype further complicate this scenario…
FINDING: Kolmogorov complexity defines randomness as incompressibility; maximal entropy in quasicrystal tilings links to algorithmic information theory. | MATH: Kolmogorov complexity \(K(x) = \min\{|p| : U(p) = x\}\); Shannon entropy \(H = -\sum p_i \log p_i\); quasicrystal tiling entropy maximal a…
Рассматривается теория Янга–Миллса на многообразии с гладкой границей в BV/BRST-формализме. Для формальной регуляризованной постановки, удовлетворяющей квантовому мастер-уравнению, сформулирован и выведен критерий независимости средних квантово BRST-замкнутых наблюдаемых от допустимой деформации ка…
ABSTRACT Photocurable additive manufacturing offers high precision but uses irreversible resins that form thermosetting structures, hindering reprocessing and circular manufacturing. This review critically examines recent advances in closed‐loop remanufacturing of photocurable resins, with a compar…
Quantum dots (QDs) are nanoscale semiconductor materials that possess unique size-dependent optical and electronic properties arising from the quantum confinement effect. Initially developed as fluorescent probes for bioimaging, quantum dots have rapidly evolved into multifunctional nanoplatforms w…
Experiments have shown that electromagnetic oscillations in microscale {hc/(2kT)} small holes have determinacy (frequency, phase), and statistical physics and the second law are no longer applicable. Basic physics (electromagnetism) plays a role in controlling the emission, propagation, and absorpt…
The TWPR consolidation architecture integrates the three coordinate layers without duplicating their proofs. It freezes the common chain from cofactor prime to aligned event index, local prime-base rank, defect, radial trace, and twin-factor correction. It assigns every theorem to one canonical own…
Flax fiber is a renewable, biodegradable material with favorable mechanical properties and a low environmental footprint, making it a promising reinforcement for sustainable composite. In this study, waste flax fibers were processed into eco-friendly needle-punched nonwovens for automotive interior…
The 240 E8 root vectors are interpreted as harmonic oscillators at the 132 Hz base frequency, with their phases coupled through the golden ratio to form phi‑entangled phase‑conjugate pairs. This configuration acts as a built‑in symmetry disentangler that enforces exact gauge invariance on any latti…
ABSTRACT Schiff base derivatives, namely 3‐(((2‐hydroxynaphthalen‐1‐yl)methylene)amino)‐1‐phenyl‐1‐pyrazole‐5‐one (3‐APPHNA) and 4‐(((2‐hydroxynaphthalen‐1‐yl)methylene)amino)‐1,5‐dimethyl‐2‐phenyl‐1H‐pyrazol‐3‐one (4‐APPHNA), were synthesized via the condensation reaction of 3‐amino‐1‐phenyl‐2‐pyr…
Supplementary Multimedia and Empirical Dataset The Schwinger-Keldysh Contour and DA-HTGN Cyber-Physical ArchitectureAuthor: Jose Alberto de Araujo PintoArchitecture: Deterministic Asymmetric Hardware Transduction Gate Node (DA-HTGN)Date: August 2026Repository OverviewThis repository houses the comp…
Objects as Closures Constraint Meshing as a Primitive of Mathematical Construction Driven by Dean A. Kulik August, 2028 ABSTRACT A mathematical object can be the residue of a relation rather than an independently existing element of either structure that produces it. We develop a constraint-first m…
This file contains the JupyterHub analysis notebooks supporting my MSc dissertation investigating the unresolved active open-state of PP5 using AI-based conformational sampling methods (AlphaFold2 MSA-subsampling, AFsample2 and BioEmu). Nine Jupyter notebooks (.ipynb) are included: Closed-state ref…
When the 240 E8 root vectors are projected onto the eight Coxeter planes and modulated by phi-coupled 132 Hz harmonics, the resulting frequency lattice forms a quasi-crystalline resonance structure with exceptional packing density. This structure exhibits a sharp criticality threshold at golden-rat…
Experiments have shown that electromagnetic oscillations in microscale {hc/(2kT)} small holes have determinacy (frequency, phase), and statistical physics and the second law are no longer applicable. Basic physics (electromagnetism) plays a role in controlling the emission, propagation, and absorpt…
By extending the 240-vector E8 lattice with phi-modulated 132Hz frequencies into 4D space, a hyperresonant matrix emerges that maintains spherical focus across cascading dimensions. This generalization preserves Coriolis alignment while enabling energy channeling in previously inaccessible topologi…