Research works

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...

Canonical Fourier Filtration and the Obstruction to a Spatial Continuum Limit

The companion Foundation paper establishes that the admissible fibre carries the Weil representation of ${\mathrm{Heis}_3}({\mathbb{Z}}/q{\mathbb{Z}})$ at a fixed non-trivial central character, and defines the canonical filtration of the fibre as the orbit spans $\Omega_n = \math...

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...

Quadratic Completion of Admissible Spectral Pairs via Binary-Icosahedral Representation

We investigate the structural nature of the pair observable $\sigma_{\mathrm{pair}}(n) = \sigma_c(n)\,\sigma_{q-c}(n)$ arising in the Weil-block analysis of the Heisenberg Cayley graphs $\mathrm{Heis}_3(\mathbb{Z}/q\mathbb{Z})$. Building on the canonical construction of conjugate...

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 $...

Systematic Pair-Level Campaign for δpair: Convergence, Inter-Pair Concentration, and Normalization Structure

The O-series defines a canonical pair-level capacity observable and establishes that vertical non-injectivity does not change its observable rank. The further prescription ${\beta^{*}}=1/({\delta_{\mathrm{pair}}}+\tfrac12)$, however, imports the changing-degree LPS growth equatio...

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...

Functional movement screen scores and injury prevalence among collegiate basketball players: a cross-sectional analysis

<title>Abstract</title> Background The Functional Movement Screen (FMS) is widely used to evaluate movement quality and injury risk in athletes, yet evidence regarding its applicability in non-Western collegiate basketball contexts remains limited. This study examined the associa...

Projective Persistence and the Physical Sub-Spectrum: A Dynamical Selection Criterion for the Capacity Exponent

The O12–O19 sequence establishes that the physically relevant observable on $\mathrm{Heis}_3(\mathbb{Z}/q\mathbb{Z})$ is the canonical pair-level quantity $\sigma_{\mathrm{pair}}^{\mathrm{can}}(n)$, with capacity exponent $\delta_{\mathrm{pair}} \approx 7.44$ consistent with the...

Equivariant Born–Infeld Parity and the Fibre-Identification Problem of the Non-Injective Projection

The identification of conjugate Weil blocks $\{c,\, q-c\}$ as the fibres of the non-injective projection ${\Pi}:{\chi}\to{\mathcal{O}}$ was stated as a structurally motivated hypothesis in O16 and used in O17 to derive the pair-level observable and the exponent doubling ${\delta_...

Canonical Pair Observables in Weil Blocks: Structure of the Residual Amplitude Factor and Pipeline-Independent Formulation

The O12–O18 sequence identifies the pair-level quantity ${\sigma_{\mathrm{pair}}}(n) = \sigma_{c}(n)\,\sigma_{q-c}(n)$ as the structurally motivated candidate observable on ${\mathrm{Heis}_{3}(\mathbb{Z}/q\mathbb{Z})}$, with capacity exponent ${\delta_{\mathrm{pair}}} \approx 7.4...

Noncommutative Infinite Kaiso

This paper develops a unified algebraic framework for kaiso complex numbers, a discrete multi-layered structure (kaiso) in which each layer (kai) contains a single digit carrying an independent sign bit. The central operation is the digit-wise sign inversion, governed by two XOR-...

SABER: a multiparental tomato population leveraging wild relative diversity for high-resolution QTL mapping

Abstract The narrow genetic base of cultivated tomato ( Solanum lycopersicum L.) represents a major constraint on crop improvement, necessitating the exploitation of wild relatives to broaden allelic diversity. Here we present SABER ( Solanum lycopersicum Allele Biodiversity Enri...

Climate change and coastal communities: Designing an integrated framework for vulnerability, adaptation and resilience

Climate change poses significant threats to coastal communities, particularly in the Global South, where limited adaptive capacities and weak coping mechanisms exacerbate vulnerability. Coastal areas experience hazards, impacting both natural environments and coastal livelihoods....