Ash Geometry: A Preliminary Computational Study of Oscillatory Organization and Structural-Transition Prediction
Year: 2026
Type: preprint
Abstract: Ash Geometry: A Preliminary Computational Study of Oscillatory Organization and Structural-Transition Prediction This preliminary computational study investigates whether oscillatory organization features can improve the prediction of structural transitions in a synthetic dynamical system. The research forms part of the Ash Geometry framework developed by Taniia Hotskaia. The study evaluates a provisional Oscillatory Structural Reversibility (OSR) approach using simulated trajectories and compares conventional physical baseline predictors with models incorporating oscillatory coherence, spectral concentration, and geometric-order proxies. The computational experiment includes 420 simulated trajectories, with 160 independent trajectories allocated to testing. Predictive performance is assessed using the area under the receiver operating characteristic curve (AUROC), the Brier score, and trajectory-level bootstrap confidence intervals. The results indicate a small improvement in predictive performance when individual OSR-related features are added to the baseline model. The improvement in AUROC is approximately +0.00261. However, the performance gain associated with the single composite OSR index is less conclusive, with a 95% bootstrap confidence interval that includes zero. The analysis also identifies substantial redundancy between the spectral concentration and geometric-order proxies, indicating the need for more independent geometric measurements. These findings are preliminary and based exclusively on synthetic computational data. They do not establish a new physical law, demonstrate the creation of matter from oscillations, or provide experimental confirmation of the broader cosmological hypotheses associated with Ash Geometry. The deposited research package includes the manuscript, Python source code, documentation, model comparison results, and bootstrap statistics to support computational reproducibility. Research status: Preliminary computational study, Version 0.4 (2026). Author: Taniia Hotskaia, Independent Researcher. Keywords: Ash Geometry; Oscillatory Structural Reversibility; OSR; Oscillatory Dynamics; Structural Transitions; Computational Physics; Spectral Analysis; Predictive Modeling; Scientific Reproducibility.
Author: Hotskaia, Taniia
Language: English
Topic: Complex Systems and Dynamics
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7222562878
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