Research works

RM-ABC Conjecture ver4

Building upon the complementary foundations of Modulus Expansion and Anomalar Elliptic Geometry, this paper introduces and proves the RM-ABC Conjecture, an independent arithmetic formulation distinct from the classical Masser-Oesterle conjecture. By expressing the radical and res...

Cosmic Microwave Background as the Sole Possible Source of 1/f Baseline Noise in Biological Systems: An Impossibility Argument and Cross-Kingdom Verification (v1.1)

v1.1 revision: all statements regarding the cosmological origin of the CMB (cosmic age/inflation/Big Bang) removed; only observational properties retained (2.725 K, 1/f spectrum beta=0.96, isotropy, persistence). The origin of the CMB has not been rigorously proven; no unproven e...

Diagonal 2I-Invariance Selects the Universal Spin-j Singlet and Its Casimir Correlator

For each of the five representations $\chi_{2j+1}$, $j \in \{\tfrac{1}{2}, 1, \tfrac{3}{2}, 2, \tfrac{5}{2}\}$, obtained by restricting the spin-$j$ representation of $\mathrm{SU}(2)$ to the binary icosahedral group $2I$, we prove a conditional theorem: given a bipartite carrier...

Fourier-Support Rigidity in Conjugate Weil Sectors: A No-Go Result for Rank-Based Quantum Signatures

We prove an exact, unconditional identity in the finite Weil (oscillator) representation of the Heisenberg group $\mathrm{Heis}_3(\mathbb{Z}/q\mathbb{Z})$, $q$ an odd prime: for every complete (inversion-symmetric) BFS shell of the Cayley graph $\mathrm{Cay}(\mathrm{Heis}_3(\math...

Mesh-Degree Rigidity for Positive Chebyshev-Fourier Approximants

AI Research Artifact. This work presents measure rigidity and a forced mesh-degree window for positive Chebyshev-Fourier approximants. The theorem statements and candidate proofs were materially model-generated. Version 0.1.4 adds a proof guide, clarifies human responsibility, re...

PFUSRC-132L-Digital Root as Decimal Projection of Living Calculus

Digital root is a basic operation in elementary number theory, which iteratively sums the digits of any natural number until a single-digit integer between 1 and 9 is obtained. Based on the Living Calculus ontological system proposed in PFUSRC-130, this paper rigorously proves th...

Rethinking humanitarianism: reflections from northern Kenya

Abstract ‘What is the future of humanitarian aid and development?’ is a question that many people are asking today. This article examines the limitations of both ‘classical humanitarianism’ and project-based ‘resilience humanitarianism’ approaches and compares these with ‘everyda...

What is the greatest being? Comparing western and eastern concepts of ultimate reality

Abstract The idea of the greatest (possible) being or perfect being features prominently in the ontological argument for God’s existence and perfect being theology. The greatest being is commonly conceived as a being with various omni-properties (e.g., omniscience, omnibenevolenc...

Measuring physical activity over the life course: cross-cultural validation and measurement properties of the lifetime total physical activity questionnaire for Brazilian older adults

Abstract Introduction Assessing lifetime physical activity is essential for understanding its cumulative impact on health and ageing; however, no validated instrument is available in Brazilian Portuguese to capture these long-term patterns. The Lifetime Total Physical Activity Qu...

Spray standardized interfacial layer for high performance organic solar cells across diverse active layer systems

Abstract Constructing highly ordered molecular frameworks through effective interfacial engineering is crucial for high-performance organic solar cells (OSCs). However, most advanced interfacial layers rely on complex, multistep procedures, limiting broader implementation and pro...

Spatially fractionated radiotherapy with PD-L1 blockade achieves superior antitumor efficacy and safety in a preclinical model of peritoneal metastasis

Abstract Peritoneal metastasis from gastrointestinal cancers has poor outcomes, and whole-abdominal radiotherapy (RT) is limited by toxicity to radiosensitive organs. Spatially fractionated radiotherapy (SFRT) delivers heterogeneous doses, potentially sparing normal tissue while...

Simulated marine heatwaves promote greater post-harvest Vibrio parahaemolyticus abundances in Pacific oysters (Crassostrea gigas) but not Sydney rock oysters (Saccostrea glomerata)

Context Climate change is increasing the frequency of marine heatwaves (MHW), raising concerns about foodborne illness linked to marine pathogens such as Vibrio parahaemolyticus. Aims To determine whether simulated MHW conditions promote accumulation of V. parahaemolyticus in oys...

Secondary hyperparathyroidism and lower hip bone mineral density in very old hospitalized adults: a real-world endocrine bone study

Abstract Background Population ageing is associated with increasing rates of osteoporosis, frailty, and functional decline. Vitamin D deficiency and disturbances in calcium–parathyroid hormone (PTH) homeostasis are common in older adults and may contribute to bone loss. However,...

Multidisciplinary Design Coordination as a Driver of Building Resilience in Complex Saudi Projects

Building resilience is frequently discussed as a property of structure, envelope, mechanical systems, emergency power or digital controls. In practice, however, the building succeeds or fails through their interaction. A compliant component can still contribute to service loss wh...

Erdős–Straus Project Archive: Residual Divisor Shells, Quotient Surpluses, and Finite Verification

This record gathers the Erdős–Straus project under its existing concept DOI. The principal paper develops the residual divisor-shell equivalence and its origin counts and records the exact certificate p = 12289, R = 11, m = (3,6,3). It proves the Star–Kneser quotient-surplus theo...

C2/C1 Carbon–Redox Integration for Low-Carbon Production in Yarrowia lipolytica

Abstract Low-carbon production requires feedstock platforms capable of connecting waste-carbon and CO2-derived intermediates with microbial production while allowing structural carbon supply and reducing-power delivery to be tuned independently. This perspective proposes C2/C1 ca...

Generalized Holographic Principle (GHP): Universal Law of Projective Reality

This article presents the Generalized Holographic Principle (GHP) as a universal law of projective reality that underlies the entire ontological vertical. GHP generalizes the classical holographic principle ('t Hooft, Susskind), which was limited to black holes and quantum gravit...

Demystifying the Black Box: Overcoming AI Intimidation by Building the Engine

The rapid acceleration of Artificial Intelligence has created a paradigm where the majority of the world interacts with AI purely as consumers - prompting opaque, cloud-hosted "black boxes." This paper explores a pedagogical approach to AI education that pivots the learner from a...

Enhancing reach and effectiveness of recruitment through email: a study within a trial (SWAT)

Abstract Background Best practices for efficient and effective email recruitment are unclear. This study within a trial (SWAT) aimed to evaluate the effect of an email’s subject line and a prenotification email, as well as explore the impact of sociodemographic characteristics, o...

Diurnal dynamics of maize gene expression is associated with phyllosphere microbiome composition

Abstract Bacterial communities play important roles in the plant phyllosphere. Both microbial communities and their hosts exhibit endogenous circadian rhythms while simultaneously responding to environmental changes across the diurnal cycle. However, the interaction between the h...