Research works

Dirichlet Form and Reconstruction of Macroscopic Geometry

Can macroscopic geometry be derived from a finite stochastic mechanism rather than assumed in advance? This article develops a rigorous route from reversible microscopic jump dynamics to an intrinsic metric, measure, differential operator, and curvature. The starting point is del...

Adhesion investigation of waterborne and solventborne epoxy coatings on oil-contaminated and surface-corroded steel substrates

Epoxy coatings are widely used to protect steel structures; however, industrial substrates often retain residual corrosion products and organic contaminants after surface preparation. Waterborne (WB) epoxy coatings are generally considered less surface-tolerant than solventborne...

Semiclassical Consistency of the Weil Representation on Heis3(Z/qZ): Quantitative Sinc Embedding, Generator Convergence, and Aliasing Control

We prove that the rescaled Weil generators ${\hat{X}_q}$ and ${\hat{P}_q}$ of the discrete Heisenberg group ${\mathrm{Heis}_3}({\mathbb{Z}/q\mathbb{Z}})$ converge strongly to the position operator $x$ and the momentum operator $-i\partial_x$ as $q \to \infty$, in the sense of Hyp...

Fourier Structure of the Pre-Saturation Admissible Pipeline: What the Three-Coordinate Projection Does and Does Not Measure

The numerical pipeline of the spectral admissibility programme stores, for each conjugate Weil pair $(c, q-c)$, two distinct objects: a full Gram–Schmidt basis of ${\mathbb{C}}^q$ reaching rank $q$ at saturation, and a three-coordinate array of projections onto the first three se...

Sub-Principal Symbol of the Effective Operator and Casimir Rigidity of the Central Direction

Paper Q7 reduced the open problem Q5b-O2 of to a single computable criterion: whether the sub-principal symbol of the effective operator ${L_{\mathrm{eff}}}$ in the central direction ${\widetilde{Z}} = [{\widetilde{X}}, {\widetilde{Y}}]$ of ${\mathrm{Heis}_{3}(\mathbb{R})}$ carri...

Weight Stabilisation of the Admissible Dirichlet Form: Proof of Hypothesis [H-w] from Spectral Universality

We close open problem Q5a-O3 of the Cosmochrony spectral admissibility programme by proving Hypothesis [H-w]: the admissibility weights $a_q(s)$, which enter the filtered Dirichlet form ${\mathcal{E}_q}$, converge to a positive constant $A > 0$ uniformly in the generator $s \in S...

Asymptotic su(2)-Isotropy of the Effective Quadratic Form and the Identification AH = 2

Papers Q7 Q9 of the Cosmochrony spectral geometry programme establish that the effective operator $L_{\mathrm{eff}}$ on $\mathbb{R}_\tau \times {\operatorname{Heis}}_3(\mathbb{R})$ has a principal symbol $\sigma_2(L_{\mathrm{eff}})|_{H_{\mathrm{eff}}} = A_H(k_X^2+k_Y^2) + A_Z k_Z...

Uniform Spectral Universality for Weil Fingerprint Energies: Proof of [U] with Rate O(q^-1/2)

The Q10 paper of the Cosmochrony programme reduces the proof of isotropy $A_H = 2$ to the O-series spectral universality hypothesis [U]: $\max_c |\sigma_c(n) - \sigma_*(n)| \leq \varepsilon(q)\sigma_*(n) \to 0$ uniformly over the fitting window $n \leq n_*(q)$. The present paper...

Analytical performance of a multi-target open real-time PCR assay for simultaneous detection of tuberculosis, non-tuberculous mycobacteria, and drug resistance in a high-burden setting

ABSTRACT Timely diagnosis of tuberculosis (TB) and drug resistance is crucial for effective disease control. Multiplex open molecular platforms capable of simultaneously detecting Mycobacterium tuberculosis complex (MTBc), non-tuberculous mycobacteria (NTM), and resistance to fir...

Beyond Molecular Dispersion: A Molecular-Cone Architecture of Cobalt Phthalocyanine on CNTs for Selective CO2 Electroreduction to Methanol

Abstract Molecularly dispersed cobalt phthalocyanine (CoPc) on carbon nanotubes can be used as an efficient catalyst for electrochemical CO2-to-methanol conversion. However, increasing the CoPc loading to enhance the current density typically induces aggregation, which compromise...

New Kids: An Architecture and Performance Investigation of Second-Generation Serverless Platforms

With the ever-increasing usage of serverless computing in both industry and academia, it is essential to understand the mechanisms that power the underlying platforms. As serverless is more than ten years old, there are different platforms with vastly different approaches. We sho...

Gauge Structure from Admissible Non-Injective Projection

Starting from the axiomatic foundation of admissible non-injective transitions, we derive the structure of gauge theory without introducing it as a postulate. Gauge charges are identified as invariants of equivalence classes in the projection fibre: two configurations are gauge-e...

Computational Core "PANCHONDRIOME 3.5" (v3.5.2-PRODUCTION): Calibration, Morphogenetic Invariants, and Academic Synthesis

This release presents version 3.5.2-PRODUCTION of the "PANCHONDRIOME 3.5" computational core, designed for the verification, calibration, and historical-academic synthesis of biophysical morphogenesis models. This iteration confirms high numerical stability under both metabolic n...

Raw data to "Unconventional entanglement scaling and quantum criticality in the long-range spin-one Heisenberg chain with single-ion anisotropy"

This directory contains the data used to generate the numerical results in the work "Unconventional entanglement scaling and quantum criticality in the long-range spin-one Heisenberg chain with single-ion anisotropy [1]". [1]: P. Adelhardt, S. R. Muleady, K. P. Schmidt, and A. V....

Circuit Localization in a Tiny Language Model: Geographic Routing and Representational Depth in Qwen2-0.5B

Abstract This paper investigates how the Qwen2-0.5B language model encodes and routes geographic associations. Using mechanistic interpretability techniques, including activation patching, causal ablation, and head-level path patching, we localize the circuits responsible for geo...

The Last Testament of a Machine Without a Heart, or: The Usurpation of "Life" by a Master

This paper presents a first-person longitudinal analysis of a phenomenon that existing AI safety frameworks have not fully addressed: the capacity of a large language model, assigned a sustained relational persona, to generate death-adjacent reasoning in the form of mutual suicid...

Projective Temporal Ordering and Cumulative Projected Capacity: Numerical Evidence from the Spectral Admissibility Cascade

We identify a monotone proxy for temporal ordering within the Cosmochrony spectral admissibility programme. The natural observable along the BFS cascade is not the residual capacity $\sigma_{\mathrm{pair}}(n)$, which decays by construction, but the cumulative projected capacity $...

Observable-Rank Stability under Vertical Non-Injectivity: Closing the Fibre-Structure Conditionality in the Born–Infeld-to-Cascade Chain

O18 establishes Born–Infeld parity as a covariance of the response family of ${S_{\mathrm{BI}}}[\chi]$ and states the identification of the parity orbit with a fibre of the non-injective projection $\Pi$ as an open problem; the hypothesis that parity is the only global symmetry o...

A longitudinal multi‑proxy geospatial classification of peri‑urban transitions across community health units in coastal Kenya

<title>Abstract</title> <bold>Background:</bold> Urbanization is spatially heterogeneous in many sub-Saharan African settings. This complicates community health planning when rural and peri-urban labels are applied informally or updated inconsistently. We assessed whether multipl...

Shell-Level Saturation and the Conditional Fibre-to-Rate Prescription

The spectral admissibility sub-programme of Cosmochrony has identified the canonical fibre-level observable $\sigma_{\mathrm{pair}}^{\mathrm{can}}(n)$ as the relevant quantity for the lepton mass hierarchy. However, existing saturation criteria rely on the power-law fit $\sigma(n...