Research works

Position-Preserving Zero-Packet Optimization for the Binary Goldbach Exceptional Set

Let E(X) denote the number of even integers n ≤ X that are not representable as a sum of two primes. We obtain a new upper bound for the binary Goldbach exceptional set by refining the zero-packet optimization in the Pintz–Zhao framework. The key observation is that the usual red...

When Can an Agent Attribute Properties to Itself? A Cognitive Algebra for Identity, Integrity, and Freedom

An agent's cognitive architecture may possess every regional carrier required for a capability and still emit a wrong verdict, because the content those carriers hold is corrupted. Over the MCK observer-relative classification (Bragetti, Asaro and Italiano, Zenodo 10.5281/zenodo....

An Effective Phenomenological Model for Entanglement-Induced Torsion and Quasiparticle Confinement in Analogue Spacetimes

Core Concept at a Glance The history of physics is the story of continuously liberating our concept of space: Newton gave us space as a rigid stage. Einstein taught us that the stage itself is dynamic. Quantum Information as the Next Frontier: This working paper consistently push...

The Confinement Scale from the Electron Mass and the Fine-Structure Constant: Mutual Entanglement as Channelized Strain

The scale of QCD confinement is an input to the Standard Model, traceable to the measured strong coupling and unrelated to any electromagnetic quantity. This paper derives it from the electron mass and the fine-structure constant alone, σ=N_ch m_e^2 c^3/(ħα^2), where N_ch is an i...

Ordinary-Matter Dynamics of Timelike Kantowski–Sachs–Schwarzschild Shells: Local Existence and Finite-Radius Signed-Root Exit

For collapsing timelike material shells joining homogeneous Kantowski–Sachs (KS) dust to the retained increasing-radius Schwarzschild interior, define λ = [(4πG/c⁴)σ]/√[2(m − m_C)/B³], where m_C and m are the KS Misner–Sharp and Schwarzschild mass lengths. Within the admitted ord...

Plantation-Driven Watershed Degradation and Intergenerational Erosion of Traditional Ecological Knowledge in the Chittagong Hill Tracts, Bangladesh: A Multi-Ethnic Comparative Study

The Chittagong Hill Tracts (CHT) of Bangladesh harbors at least 13 indigenous communities whoselivelihoods, cultural identities, and ecological knowledge systems are intimately embedded in a forestedhill landscape now undergoing rapid transformation. This study investigates a the...

Innate immune sensor NOD2 promotes cartilage degradation and osteoarthritis progression by stabilizing TRAF6 in chondrocytes

Inflammation driven by the innate immune response plays a crucial role in osteoarthritis (OA) pathogenesis, yet the underlying mechanisms remain incompletely understood. Moreover, current antiinflammatory therapies primarily offer symptomatic relief without altering disease progr...

The Slope Ratio $r = 360 ζ(3)2/π6$: Continued Fraction, Completed Zeta Values, and the Khinchin Giant

Corrected Version

Exactly Unbiased Single-Stage Randomized Hadamard Companders: Uniform High-Rate Limits, Minimax Reconstruction, and Fixed-Query Tradeoffs

For every continuous, strictly positive probability density $f$ and every $B = 2^b \ge 4$, we construct a $B$-ary companded scalar quantizer with a calibrated reconstruction map whose box average in the quantile domain equals the inverse compander. Uniform dithering therefore yie...

THE MODULAR SPECTRAL ARCHITECTURE OF APÉRY'S CONSTANT: AN EXPLICIT FORMULA, CONTINUED-FRACTION FLUCTUATIONS, AND THE SEMI-CLOSED BRIDGE FROM GENERALIZED BERNOULLI NUMBERS ->*corrected*

Corrected version

A certification-driven beam-energy projection algorithm for shape-controlled cubic Hermite interpolation

We develop a value-only cubic Hermite interpolation method that retains the bending-energy objective of the natural spline while controlling selected geometric features between data points. The method begins with the natural-spline slopes. Three interval tests detect escape from...

Post‐Synthetic Zinc Modifications to Correct Speciation in Ti‐MWW Zeolites for Catalytic Oxidation

ABSTRACT Ti‐MWW is an important member of Ti‐containing zeolites, industrially employed as heterogeneous catalyst for selective oxidations. However, the development of more active variants is often hampered by the lack of characterization methods able to track transformations and...

"Dark Matter" from the perspective of the Acta Universi hypothesis / "Тёмная материя" с точки зрения гипотезы Acta Universi

Abstract (English) The persistent discrepancy between observed galactic dynamics and the predictions of general relativity with visible matter remains one of the central unsolved problems of modern cosmology. Within the Acta Universi (AU) hypothesis, “dark matter” is reinterprete...

LogiMind Review of Psychotherapies — Vol. 1, No. 3 (November 2026): Palo Alto brief systemic therapy

Issue 3 of the LogiMind Review of Psychotherapies, a monthly full open-access journal (CC BY 4.0). English edition. Feature of the month: Palo Alto brief systemic therapy. Publisher: LogiMind. Website: https://logimind.org

Hierarchical Functional Shedding: A Connectivity-Maintenance Model of Higher-Order Integration Failure Across Acute Mania, General Anaesthesia, and Alzheimer's Disease

Hierarchical Functional Shedding (HFS) is a connectivity-maintenance hypothesis developed to explain why higher-order cognitive integration may deteriorate while wakefulness, elementary perception, recognition, and overlearned behaviour remain comparatively preserved. The model p...

CO‐Adsorption on MgO Revisited: Polarization‐Resolved Identification of Step Edges as the Dominant Defects on MgO(100) and MgO(110)

ABSTRACT Magnesium oxide is a paradigmatic ionic oxide, yet its experimentally observed chemical activity remains difficult to reconcile with its wide band gap and non‐reducible character. Here, we combine polarization‐dependent infrared reflection–absorption spectroscopy with hy...

The Elasto-Hydrodynamics of the Proton: Absence of Membrane, Barometric Respiration, and Electronic Valve through the E=PV Law

The Standard Model of particle physics treats the proton either as an immutable rigid structure or as a blurred cloud of mathematical probabilities, running into insoluble contradictions such as the "proton radius puzzle". Drawing upon the Kenophobia paradigm, this paper demonstr...

Reconstructed proton mass/energy structure: Insights from Patterson function analysis

This study employs the gravitational form factor Ai of the proton to reconstruct its internal mass/energy distribution using Patterson function analysis combined with a scaling procedure. The reconstruction reveals a sharply localized central peak, reaching 47 400 fm⁻³, with a ha...

Indistinguishable in Principle, Distinguishable in Practice: Einstein's Equivalence Principle Reassessed, and the Predictions of Relativity Recovered from Quantum-Geometry Dynamics

General relativity rests on the foundational assertion of the equivalence principle: that gravitational and non-gravitational acceleration are locally indistinguishable. This paper demonstrates, from the first principles of Quantum-Geometry Dynamics (QGD), that this indistinguish...

Centralizers of nilpotent wedges in real orthogonal Lie algebras so(p,q): a signature-resolved Levi-radical map (Geometry of the vacuum, floor −1)

For a rank-2 nilpotent (a wedge) in a real orthogonal Lie algebra so(p,q), the centralizer decomposes as a reductive part in semidirect product with a nilradical — a framework classical over algebraically closed fields (Springer-Steinberg; Collingwood-McGovern). We give the signa...